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Search results for: unknown periodic load
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</div> </nav> </div> </header> <main> <div class="container mt-4"> <div class="row"> <div class="col-md-9 mx-auto"> <form method="get" action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="unknown periodic load"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 3866</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: unknown periodic load</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3866</span> Kernel Parallelization Equation for Identifying Structures under Unknown and Periodic Loads</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Sadegh%20Naseralavi">Seyed Sadegh Naseralavi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a Kernel parallelization equation for damage identification in structures under unknown periodic excitations. Herein, the dynamic differential equation of the motion of structure is viewed as a mapping from displacements to external forces. Utilizing this viewpoint, a new method for damage detection in structures under periodic loads is presented. The developed method requires only two periods of load. The method detects the damages without finding the input loads. The method is based on the fact that structural displacements under free and forced vibrations are associated with two parallel subspaces in the displacement space. Considering the concept, kernel parallelization equation (KPE) is derived for damage detection under unknown periodic loads. The method is verified for a case study under periodic loads. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kernel" title="Kernel">Kernel</a>, <a href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load" title=" unknown periodic load"> unknown periodic load</a>, <a href="https://publications.waset.org/abstracts/search?q=damage%20detection" title=" damage detection"> damage detection</a>, <a href="https://publications.waset.org/abstracts/search?q=Kernel%20parallelization%20equation" title=" Kernel parallelization equation "> Kernel parallelization equation </a> </p> <a href="https://publications.waset.org/abstracts/75655/kernel-parallelization-equation-for-identifying-structures-under-unknown-and-periodic-loads" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75655.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">283</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3865</span> Investigating Safe Operation Condition for Iterative Learning Control under Load Disturbances Effect in Singular Values</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20A.%20Alsubaie">Muhammad A. Alsubaie</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An iterative learning control framework designed in state feedback structure suffers a lack in investigating load disturbance considerations. The presented work discusses the controller previously designed, highlights the disturbance problem, finds new conditions using singular value principle to assure safe operation conditions with error convergence and reference tracking under the influence of load disturbance. It is known that periodic disturbances can be represented by a delay model in a positive feedback loop acting on the system input. This model can be manipulated by isolating the delay model and finding a controller for the overall system around the delay model to remedy the periodic disturbances using the small signal theorem. The overall system is the base for control design and load disturbance investigation. The major finding of this work is the load disturbance condition found which clearly sets safe operation condition under the influence of load disturbances such that the error tends to nearly zero as the system keeps operating trial after trial. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=iterative%20learning%20control" title="iterative learning control">iterative learning control</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20values" title=" singular values"> singular values</a>, <a href="https://publications.waset.org/abstracts/search?q=state%20feedback" title=" state feedback"> state feedback</a>, <a href="https://publications.waset.org/abstracts/search?q=load%20disturbance" title=" load disturbance"> load disturbance</a> </p> <a href="https://publications.waset.org/abstracts/108485/investigating-safe-operation-condition-for-iterative-learning-control-under-load-disturbances-effect-in-singular-values" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/108485.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">158</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3864</span> Defuzzification of Periodic Membership Function on Circular Coordinates</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Takashi%20Mitsuishi">Takashi Mitsuishi</a>, <a href="https://publications.waset.org/abstracts/search?q=Koji%20Saigusa"> Koji Saigusa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents circular polar coordinates transformation of periodic fuzzy membership function. The purpose is identification of domain of periodic membership functions in consequent part of IF-THEN rules. The proposed methods are applied to the simple color construct system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=periodic%20membership%20function" title="periodic membership function">periodic membership function</a>, <a href="https://publications.waset.org/abstracts/search?q=polar%20coordinates%20transformation" title=" polar coordinates transformation"> polar coordinates transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=defuzzification" title=" defuzzification"> defuzzification</a>, <a href="https://publications.waset.org/abstracts/search?q=circular%20coordinates" title=" circular coordinates"> circular coordinates</a> </p> <a href="https://publications.waset.org/abstracts/14722/defuzzification-of-periodic-membership-function-on-circular-coordinates" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14722.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">309</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3863</span> Bending Tests for the Axial Load Identifications in Space Structures with Unknown Boundary Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Bonopera">M. Bonopera</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Tullini"> N. Tullini</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20C.%20Chen"> C. C. Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20K.%20Lin"> T. K. Lin</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20C.%20Chang"> K. C. Chang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the extension of a static method for the axial load identifications in prismatic beam-columns with uncertain length and unknown boundary conditions belonging to generic space structures, such as columns of space frames or struts and ties of space trusses. The non-destructive method requires the knowledge of the beam-column flexural rigidity only. Flexural displacements are measured at five cross sections along the beam-column subjected to an additional vertical load at the mid-span. Unlike analogous dynamic methods, any set of experimental data may be used in the identification procedure. The method is verified by means of many numerical and experimental tests on beam-columns having unknown boundary conditions and different slenderness belonging to three different space prototypes in small-scale. Excellent estimates of the tensile and compressive forces are obtained for the elements with higher slenderness and when the greatest possible distance between sensors is adopted. Moreover, the application of larger values of the vertical load and very accurate displacement measurements are required. The method could be an efficacious technique in-situ, considering that safety inspections will become increasingly important in the near future, especially because of the improvement of the material properties that allowed designing space structures composed of beam-columns with higher slenderness. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=force%20identification" title="force identification">force identification</a>, <a href="https://publications.waset.org/abstracts/search?q=in-situ%20test" title=" in-situ test"> in-situ test</a>, <a href="https://publications.waset.org/abstracts/search?q=space%20structure" title=" space structure"> space structure</a>, <a href="https://publications.waset.org/abstracts/search?q=static%20test" title=" static test"> static test</a> </p> <a href="https://publications.waset.org/abstracts/50354/bending-tests-for-the-axial-load-identifications-in-space-structures-with-unknown-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50354.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">244</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3862</span> Rogue Waves Arising on the Standing Periodic Wave in the High-Order Ablowitz-Ladik Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yanpei%20Zhen">Yanpei Zhen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The nonlinear Schrödinger (NLS) equation models wave dynamics in many physical problems related to fluids, plasmas, and optics. The standing periodic waves are known to be modulationally unstable, and rogue waves (localized perturbations in space and time) have been observed on their backgrounds in numerical experiments. The exact solutions for rogue waves arising on the periodic standing waves have been obtained analytically. It is natural to ask if the rogue waves persist on the standing periodic waves in the integrable discretizations of the integrable NLS equation. We study the standing periodic waves in the semidiscrete integrable system modeled by the high-order Ablowitz-Ladik (AL) equation. The standing periodic wave of the high-order AL equation is expressed by the Jacobi cnoidal elliptic function. The exact solutions are obtained by using the separation of variables and one-fold Darboux transformation. Since the cnoidal wave is modulationally unstable, the rogue waves are generated on the periodic background. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Darboux%20transformation" title="Darboux transformation">Darboux transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20wave" title=" periodic wave"> periodic wave</a>, <a href="https://publications.waset.org/abstracts/search?q=Rogue%20wave" title=" Rogue wave"> Rogue wave</a>, <a href="https://publications.waset.org/abstracts/search?q=separating%20the%20variables" title=" separating the variables"> separating the variables</a> </p> <a href="https://publications.waset.org/abstracts/174512/rogue-waves-arising-on-the-standing-periodic-wave-in-the-high-order-ablowitz-ladik-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/174512.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">183</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3861</span> Hybrid Inventory Model Optimization under Uncertainties: A Case Study in a Manufacturing Plant</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20Benga">E. Benga</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Tengen"> T. Tengen</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Alugongo"> A. Alugongo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Periodic and continuous inventory models are the two classical management tools used to handle inventories. These models have advantages and disadvantages. The implementation of both continuous (r,Q) inventory and periodic (R, S) inventory models in most manufacturing plants comes with higher cost. Such high inventory costs are due to the fact that most manufacturing plants are not flexible enough. Since demand and lead-time are two important variables of every inventory models, their effect on the flexibility of the manufacturing plant matter most. Unfortunately, these effects are not clearly understood by managers. The reason is that the decision parameters of the continuous (r, Q) inventory and periodic (R, S) inventory models are not designed to effectively deal with the issues of uncertainties such as poor manufacturing performances, delivery performance supplies performances. There is, therefore, a need to come up with a predictive and hybrid inventory model that can combine in some sense the feature of the aforementioned inventory models. A linear combination technique is used to hybridize both continuous (r, Q) inventory and periodic (R, S) inventory models. The behavior of such hybrid inventory model is described by a differential equation and then optimized. From the results obtained after simulation, the continuous (r, Q) inventory model is more effective than the periodic (R, S) inventory models in the short run, but this difference changes as time goes by. Because the hybrid inventory model is more cost effective than the continuous (r,Q) inventory and periodic (R, S) inventory models in long run, it should be implemented for strategic decisions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=periodic%20inventory" title="periodic inventory">periodic inventory</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous%20inventory" title=" continuous inventory"> continuous inventory</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20inventory" title=" hybrid inventory"> hybrid inventory</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=manufacturing%20plant" title=" manufacturing plant"> manufacturing plant</a> </p> <a href="https://publications.waset.org/abstracts/64054/hybrid-inventory-model-optimization-under-uncertainties-a-case-study-in-a-manufacturing-plant" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64054.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">382</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3860</span> Periodical System of Isotopes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Andriy%20Magula">Andriy Magula</a> </p> <p class="card-text"><strong>Abstract:</strong></p> With the help of a special algorithm being the principle of multilevel periodicity, the periodic change of properties at the nuclear level of chemical elements was discovered and the variant for the periodic system of isotopes was presented. The periodic change in the properties of isotopes, as well as the vertical symmetry of subgroups, was checked for consistency in accordance with the following ten types of experimental data: mass ratio of fission fragments; quadrupole moment values; magnetic moment; lifetime of radioactive isotopes; neutron scattering; thermal neutron radiative capture cross-sections (n, γ); α-particle yield cross-sections (n, α); isotope abundance on Earth, in the Solar system and other stellar systems; features of ore formation and stellar evolution. For all ten cases, the correspondences for the proposed periodic structure of the nucleus were obtained. The system was formed in the usual 2D table, similar to the periodic system of elements, and the mass series of isotopes was divided into 8 periods and 4 types of ‘nuclear’ orbitals: sn, dn, pn, fn. The origin of ‘magic’ numbers as a set of filled charge shells of the nucleus was explained. Due to the isotope system, the periodic structure is shown at a new level of the universe, and the prospects of its practical use are opened up. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=periodic%20system" title="periodic system">periodic system</a>, <a href="https://publications.waset.org/abstracts/search?q=isotope" title=" isotope"> isotope</a>, <a href="https://publications.waset.org/abstracts/search?q=period" title=" period"> period</a>, <a href="https://publications.waset.org/abstracts/search?q=subgroup" title=" subgroup"> subgroup</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%9Cnuclear%E2%80%9D%20orbital" title=" “nuclear” orbital"> “nuclear” orbital</a>, <a href="https://publications.waset.org/abstracts/search?q=nuclear%20reaction" title=" nuclear reaction"> nuclear reaction</a> </p> <a href="https://publications.waset.org/abstracts/192564/periodical-system-of-isotopes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192564.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">17</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3859</span> Response Solutions of 2-Dimensional Elliptic Degenerate Quasi-Periodic Systems With Small Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Song%20Ni">Song Ni</a>, <a href="https://publications.waset.org/abstracts/search?q=Junxiang%20Xu"> Junxiang Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper concerns quasi-periodic perturbations with parameters of 2-dimensional degenerate systems. If the equilibrium point of the unperturbed system is elliptic-type degenerate. Assume that the perturbation is real analytic quasi-periodic with diophantine frequency. Without imposing any assumption on the perturbation, we can use a path of equilibrium points to tackle with the Melnikov non-resonance condition, then by the Leray-Schauder Continuation Theorem and the Kolmogorov-Arnold-Moser technique, it is proved that the equation has a small response solution for many sufficiently small parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quasi-periodic%20systems" title="quasi-periodic systems">quasi-periodic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=KAM-iteration" title=" KAM-iteration"> KAM-iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=degenerate%20equilibrium%20point" title=" degenerate equilibrium point"> degenerate equilibrium point</a>, <a href="https://publications.waset.org/abstracts/search?q=response%20solution" title=" response solution"> response solution</a> </p> <a href="https://publications.waset.org/abstracts/175183/response-solutions-of-2-dimensional-elliptic-degenerate-quasi-periodic-systems-with-small-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/175183.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">86</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3858</span> Features of Annual Junior Men's Kayak Training Loads in China</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Liu%20Haitao">Liu Haitao</a>, <a href="https://publications.waset.org/abstracts/search?q=Wang%20Hengyong"> Wang Hengyong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper attempts to kayak, Zhaoqing City, the annual training program for young men, the deconstruction and analysis, describe the characteristics of their training load, Young people to extract the key issues for training kayak, kayak training young people to clarify in Zhaoqing City, and the cause of the bottlenecks. On one hand, scientifically arranging for the coaches to adjust training load and provide the basis for periodic structure, for young people to provide practical reference kayak athletes. On the other hand, through their training load research, enrich the theoretical system kayak training project for junior kayak athletes to provide a theoretical basis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=juniors" title="juniors">juniors</a>, <a href="https://publications.waset.org/abstracts/search?q=kayak" title=" kayak"> kayak</a>, <a href="https://publications.waset.org/abstracts/search?q=training%20programs" title=" training programs"> training programs</a>, <a href="https://publications.waset.org/abstracts/search?q=full%20year" title=" full year"> full year</a> </p> <a href="https://publications.waset.org/abstracts/18679/features-of-annual-junior-mens-kayak-training-loads-in-china" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18679.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">588</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3857</span> Existence of positive periodic solutions for certain delay differential equations </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Farid%20Nouioua">Farid Nouioua</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelouaheb%20Ardjouni"> Abdelouaheb Ardjouni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, we study the existence of positive periodic solutions of certain delay differential equations. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ Krasnoselskii's fixed point theorem to obtain sufficient conditions for the existence of a positive periodic solution of the differential equation. The obtained results improve and extend the results in the literature. Finally, an example is given to illustrate our results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=delay%20differential%20equations" title="delay differential equations">delay differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20periodic%20solutions" title=" positive periodic solutions"> positive periodic solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=integral%20equations" title=" integral equations"> integral equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Krasnoselskii%20fixed%20point%20theorem" title=" Krasnoselskii fixed point theorem"> Krasnoselskii fixed point theorem</a> </p> <a href="https://publications.waset.org/abstracts/40904/existence-of-positive-periodic-solutions-for-certain-delay-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40904.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">438</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3856</span> On Periodic Integer-Valued Moving Average Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aries%20Nawel">Aries Nawel</a>, <a href="https://publications.waset.org/abstracts/search?q=Bentarzi%20Mohamed"> Bentarzi Mohamed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the study of some probabilistic and statistical properties of a Periodic Integer-Valued Moving Average Model (PINMA_{S}(q)). The closed forms of the mean, the second moment and the periodic autocovariance function are obtained. Furthermore, the time reversibility of the model is discussed in details. Moreover, the estimation of the underlying parameters are obtained by the Yule-Walker method, the Conditional Least Square method (CLS) and the Weighted Conditional Least Square method (WCLS). A simulation study is carried out to evaluate the performance of the estimation method. Moreover, an application on real data set is provided. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=periodic%20integer-valued%20moving%20average" title="periodic integer-valued moving average">periodic integer-valued moving average</a>, <a href="https://publications.waset.org/abstracts/search?q=periodically%20correlated%20process" title=" periodically correlated process"> periodically correlated process</a>, <a href="https://publications.waset.org/abstracts/search?q=time%20reversibility" title=" time reversibility"> time reversibility</a>, <a href="https://publications.waset.org/abstracts/search?q=count%20data" title=" count data"> count data</a> </p> <a href="https://publications.waset.org/abstracts/132956/on-periodic-integer-valued-moving-average-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/132956.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">202</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3855</span> Stabilization of Displaced Periodic Orbit Using Feedback Linearization Control Scheme</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arun%20Kumar%20Yadav">Arun Kumar Yadav</a>, <a href="https://publications.waset.org/abstracts/search?q=Badam%20Singh%20Kushvah"> Badam Singh Kushvah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present work, we investigated displaced periodic orbits in the linear order in the circular restricted three-body Sun-Jupiter system, where the third mass-less body utilizes solar electric sail. The electric solar sail is a new space propulsion concept which uses the solar wind momentum for producing thrust, and it is somewhat like to the more well-known solar radiation pressure sail which is often called simply the solar sail. Moreover, we implement the feedback linearization control scheme to perform the stabilization and trajectory tracking for the nonlinear system. Further, we derived periodic orbits analytically in linear order by introducing a first order approximation. These approximate analytic solutions are utilized in a numerical search to determine displaced periodic orbit in the full nonlinear model. We found the displaced periodic orbit for the defined non-linear model and stabilized the model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solar%20electric%20sail" title="solar electric sail">solar electric sail</a>, <a href="https://publications.waset.org/abstracts/search?q=circular%20restricted%20three-body%20problem%20%28CRTBP%29" title=" circular restricted three-body problem (CRTBP)"> circular restricted three-body problem (CRTBP)</a>, <a href="https://publications.waset.org/abstracts/search?q=displaced%20orbit" title=" displaced orbit"> displaced orbit</a>, <a href="https://publications.waset.org/abstracts/search?q=feedback%20linearization%20control" title=" feedback linearization control"> feedback linearization control</a> </p> <a href="https://publications.waset.org/abstracts/83358/stabilization-of-displaced-periodic-orbit-using-feedback-linearization-control-scheme" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83358.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">189</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3854</span> Kalman Filter Design in Structural Identification with Unknown Excitation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Z.%20Masoumi">Z. Masoumi</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Moaveni"> B. Moaveni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article is about first step of structural health monitoring by identifying structural system in the presence of unknown input. In the structural system identification, identification of structural parameters such as stiffness and damping are considered. In this study, the Kalman filter (KF) design for structural systems with unknown excitation is expressed. External excitations, such as earthquakes, wind or any other forces are not measured or not available. The purpose of this filter is its strengths to estimate the state variables of the system in the presence of unknown input. Also least squares estimation (LSE) method with unknown input is studied. Estimates of parameters have been adopted. Finally, using two examples advantages and drawbacks of both methods are studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kalman%20filter%20%28KF%29" title="Kalman filter (KF)">Kalman filter (KF)</a>, <a href="https://publications.waset.org/abstracts/search?q=least%20square%20estimation%20%28LSE%29" title=" least square estimation (LSE)"> least square estimation (LSE)</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20health%20monitoring%20%28SHM%29" title=" structural health monitoring (SHM)"> structural health monitoring (SHM)</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20system%20identification" title=" structural system identification"> structural system identification</a> </p> <a href="https://publications.waset.org/abstracts/49817/kalman-filter-design-in-structural-identification-with-unknown-excitation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/49817.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">317</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3853</span> Shear Elastic Waves in Disordered Anisotropic Multi-Layered Periodic Structure</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20B.%20Ghazaryan">K. B. Ghazaryan</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20A.%20Ghazaryan"> R. A. Ghazaryan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Based on the constitutive model and anti-plane equations of anisotropic elastic body of monoclinic symmetry we consider the problem of shear wave propagation in multi-layered disordered composite structure with point defect. Using transfer matrix method the analytic expression is obtained providing solutions of shear Floquet wave propagation in periodic disordered anisotropic structure. The usefulness of the obtained analytical expression was discussed also in reflection and refraction problems from multi-layered reflector as well as in vibration problem of multi-layered waveguides. Numerical results are presented highlighting the effects arising in disordered periodic structure due to defects of multi-layered structure. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=shear%20elastic%20waves" title="shear elastic waves">shear elastic waves</a>, <a href="https://publications.waset.org/abstracts/search?q=monoclinic%20anisotropic%20media" title=" monoclinic anisotropic media"> monoclinic anisotropic media</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20structure" title=" periodic structure"> periodic structure</a>, <a href="https://publications.waset.org/abstracts/search?q=disordered%20multilayer%20laminae" title=" disordered multilayer laminae"> disordered multilayer laminae</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-layered%20waveguide" title=" multi-layered waveguide"> multi-layered waveguide</a> </p> <a href="https://publications.waset.org/abstracts/48365/shear-elastic-waves-in-disordered-anisotropic-multi-layered-periodic-structure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48365.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">408</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3852</span> Acoustic Radiation from an Infinite Cylindrical Shell with Periodic Lengthwise Ribs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yunzhe%20Tong">Yunzhe Tong</a>, <a href="https://publications.waset.org/abstracts/search?q=Jun%20Fan"> Jun Fan</a>, <a href="https://publications.waset.org/abstracts/search?q=Bin%20Wang"> Bin Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The vibroacoustic behavior of an immersed infinite cylindrical shell with periodic lengthwise ribs has been studied in this paper. The motions of the shell are described by the Donnell equations. Each lengthwise rib is modeled as an elastic beam. The motions of the bulkheads are decomposed into the longitudinal motions and flexural motions. The analytical expressions of the shell motions can be obtained through circumferential mode expansion, Fourier Transform and periodic boundary condition in the circumferential direction. Furthermore, the far-field radiated pressure has been obtained using the stationary phase. The analysis of wavenumber domain shows that periodic lengthwise stiffeners in the circumferential direction can produce flexural Bloch waves. The dominant feature in far-field pressure amplitude is the resonance of the supersonic components of the flexural Bloch waves in the circumferential direction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=flexural%20Bloch%20wave" title="flexural Bloch wave">flexural Bloch wave</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffened%20shell" title=" stiffened shell"> stiffened shell</a>, <a href="https://publications.waset.org/abstracts/search?q=vibroacoustics" title=" vibroacoustics"> vibroacoustics</a>, <a href="https://publications.waset.org/abstracts/search?q=wavenumber%20analysis" title=" wavenumber analysis"> wavenumber analysis</a> </p> <a href="https://publications.waset.org/abstracts/90699/acoustic-radiation-from-an-infinite-cylindrical-shell-with-periodic-lengthwise-ribs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/90699.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">209</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3851</span> Consumer Load Profile Determination with Entropy-Based K-Means Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ioannis%20P.%20Panapakidis">Ioannis P. Panapakidis</a>, <a href="https://publications.waset.org/abstracts/search?q=Marios%20N.%20Moschakis"> Marios N. Moschakis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> With the continuous increment of smart meter installations across the globe, the need for processing of the load data is evident. Clustering-based load profiling is built upon the utilization of unsupervised machine learning tools for the purpose of formulating the typical load curves or load profiles. The most commonly used algorithm in the load profiling literature is the K-means. While the algorithm has been successfully tested in a variety of applications, its drawback is the strong dependence in the initialization phase. This paper proposes a novel modified form of the K-means that addresses the aforementioned problem. Simulation results indicate the superiority of the proposed algorithm compared to the K-means. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=clustering" title="clustering">clustering</a>, <a href="https://publications.waset.org/abstracts/search?q=load%20profiling" title=" load profiling"> load profiling</a>, <a href="https://publications.waset.org/abstracts/search?q=load%20modeling" title=" load modeling"> load modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=machine%20learning" title=" machine learning"> machine learning</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20efficiency%20and%20quality" title=" energy efficiency and quality"> energy efficiency and quality</a> </p> <a href="https://publications.waset.org/abstracts/89525/consumer-load-profile-determination-with-entropy-based-k-means-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/89525.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">164</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3850</span> Influence of Improved Roughage Quality and Period of Meal Termination on Digesta Load in the Digestive Organs of Goats</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rasheed%20A.%20Adebayo">Rasheed A. Adebayo</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehluli%20M.%20Moyo"> Mehluli M. Moyo</a>, <a href="https://publications.waset.org/abstracts/search?q=Ignatius%20V.%20Nsahlai"> Ignatius V. Nsahlai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Ruminants are known to relish roughage for productivity but the effect of its quality on digesta load in rumen, omasum, abomasum and other distal organs of the digestive tract is yet unknown. Reticulorumen fill is a strong indicator for long-term control of intake in ruminants. As such, the measurement and prediction of digesta load in these compartments may be crucial to productivity in the ruminant industry. The current study aimed at determining the effect of (a) diet quality on digesta load in digestive organs of goats, and (b) period of meal termination on the reticulorumen fill and digesta load in other distal compartments of the digestive tract of goats. Goats were fed with urea-treated hay (UTH), urea-sprayed hay (USH) and non-treated hay (NTH). At the end of eight weeks of a feeding trial period, upon termination of a meal in the morning, afternoon or evening, all goats were slaughtered in random groups of three per day to measure reticulorumen fill and digesta loads in other distal compartments of the digestive tract. Both diet quality and period affected (P < 0.05) the measure of reticulorumen fill. However, reticulorumen fill in the evening was larger (P < 0.05) than afternoon, while afternoon was similar (P > 0.05) to morning. Also, diet quality affected (P < 0.05) the wet omasal digesta load, wet abomasum, dry abomasum and dry caecum digesta loads but did not affect (P > 0.05) both wet and dry digesta loads in other compartments of the digestive tract. Period of measurement did not affect (P > 0.05) the wet omasal digesta load, and both wet and dry digesta loads in other compartments of the digestive tract except wet abomasum digesta load (P < 0.05) and dry caecum digesta load (P < 0.05). Both wet and dry reticulorumen fill were correlated (P < 0.05) with omasum (r = 0.623) and (r = 0.723), respectively. In conclusion, reticulorumen fill of goats decreased by improving the roughage quality; and the period of meal termination and measurement of the fill is a key factor to the quantity of digesta load. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=digesta" title="digesta">digesta</a>, <a href="https://publications.waset.org/abstracts/search?q=goats" title=" goats"> goats</a>, <a href="https://publications.waset.org/abstracts/search?q=meal%20termination" title=" meal termination"> meal termination</a>, <a href="https://publications.waset.org/abstracts/search?q=reticulo-rumen%20fill" title=" reticulo-rumen fill"> reticulo-rumen fill</a> </p> <a href="https://publications.waset.org/abstracts/80796/influence-of-improved-roughage-quality-and-period-of-meal-termination-on-digesta-load-in-the-digestive-organs-of-goats" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80796.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3849</span> Theoretical Analysis of Mechanical Vibration for Offshore Platform Structures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saeed%20Asiri">Saeed Asiri</a>, <a href="https://publications.waset.org/abstracts/search?q=Yousuf%20Z.%20AL-Zahrani"> Yousuf Z. AL-Zahrani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new class of support structures, called periodic structures, is introduced in this paper as a viable means for isolating the vibration transmitted from the sea waves to offshore platform structures through its legs. A passive approach to reduce transmitted vibration generated by waves is presented. The approach utilizes the property of periodic structural components that creates stop and pass bands. The stop band regions can be tailored to correspond to regions of the frequency spectra that contain harmonics of the wave frequency, attenuating the response in those regions. A periodic structural component is comprised of a repeating array of cells, which are themselves an assembly of elements. The elements may have differing material properties as well as geometric variations. For the purpose of this research, only geometric and material variations are considered and each cell is assumed to be identical. A periodic leg is designed in order to reduce transmitted vibration of sea waves. The effectiveness of the periodicity on the vibration levels of platform will be demonstrated theoretically. The theory governing the operation of this class of periodic structures is introduced using the transfer matrix method. The unique filtering characteristics of periodic structures are demonstrated as functions of their design parameters for structures with geometrical and material discontinuities; and determine the propagation factor by using the spectral finite element analysis and the effectiveness of design on the leg structure by changing the ratio of step length and area interface between the materials is demonstrated in order to find the propagation factor and frequency response. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=vibrations" title="vibrations">vibrations</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20structures" title=" periodic structures"> periodic structures</a>, <a href="https://publications.waset.org/abstracts/search?q=offshore" title=" offshore"> offshore</a>, <a href="https://publications.waset.org/abstracts/search?q=platforms" title=" platforms"> platforms</a>, <a href="https://publications.waset.org/abstracts/search?q=transfer%20matrix%20method" title=" transfer matrix method"> transfer matrix method</a> </p> <a href="https://publications.waset.org/abstracts/11330/theoretical-analysis-of-mechanical-vibration-for-offshore-platform-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11330.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">289</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3848</span> An Ancient Rule for Constructing Dodecagonal Quasi-Periodic Formations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rima%20A.%20Ajlouni">Rima A. Ajlouni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The discovery of quasi-periodic structures in material science is revealing an exciting new class of symmetries, which has never been explored before. Due to their unique structural and visual properties, these symmetries are drawing interest from many scientific and design disciplines. Especially, in art and architecture, these symmetries can provide a rich source of geometry for exploring new patterns, forms, systems, and structures. However, the structural systems of these complicated symmetries are still posing a perplexing challenge. While much of their local order has been explored, the global governing system is still unresolved. Understanding their unique global long-range order is essential to their generation and application. The recent discovery of dodecagonal quasi-periodic patterns in historical Islamic architecture is generating a renewed interest into understanding the mathematical principles of traditional Islamic geometry. Astonishingly, many centuries before its description in the modern science, ancient artists, by using the most primitive tools (a compass and a straight edge), were able to construct patterns with quasi-periodic formations. These ancient patterns can be found all over the ancient Islamic world, many of which exhibit formations with 5, 8, 10 and 12 quasi-periodic symmetries. Based on the examination of these historical patterns and derived from the generating principles of Islamic geometry, a global multi-level structural model is presented that is able to describe the global long-range order of dodecagonal quasi-periodic formations in Islamic Architecture. Furthermore, this method is used to construct new quasi-periodic tiling systems as well as generating their deflation and inflation rules. This method can be used as a general guiding principle for constructing infinite patches of dodecagon-based quasi-periodic formations, without the need for local strategies (tiling, matching, grid, substitution, etc.) or complicated mathematics; providing an easy tool for scientists, mathematicians, teachers, designers and artists, to generate and study a wide range of dodecagonal quasi-periodic formations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dodecagonal" title="dodecagonal">dodecagonal</a>, <a href="https://publications.waset.org/abstracts/search?q=Islamic%20architecture" title=" Islamic architecture"> Islamic architecture</a>, <a href="https://publications.waset.org/abstracts/search?q=long-range%20order" title=" long-range order"> long-range order</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-periodi" title=" quasi-periodi"> quasi-periodi</a> </p> <a href="https://publications.waset.org/abstracts/35446/an-ancient-rule-for-constructing-dodecagonal-quasi-periodic-formations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35446.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">402</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3847</span> Homogenization of a Non-Linear Problem with a Thermal Barrier</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hassan%20Samadi">Hassan Samadi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mustapha%20El%20Jarroudi"> Mustapha El Jarroudi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we consider the homogenization of a non-linear problem in periodic medium with two periodic connected media exchanging a heat flux throughout their common interface. The interfacial exchange coefficient λ is assumed to tend to zero or to infinity following a rate λ=λ(ε) when the size ε of the basic cell tends to zero. Three homogenized problems are determined according to some critical value depending of λ and ε. Our method is based on Γ-Convergence techniques. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=variational%20methods" title="variational methods">variational methods</a>, <a href="https://publications.waset.org/abstracts/search?q=epiconvergence" title=" epiconvergence"> epiconvergence</a>, <a href="https://publications.waset.org/abstracts/search?q=homogenization" title=" homogenization"> homogenization</a>, <a href="https://publications.waset.org/abstracts/search?q=convergence%20technique" title=" convergence technique"> convergence technique</a> </p> <a href="https://publications.waset.org/abstracts/29054/homogenization-of-a-non-linear-problem-with-a-thermal-barrier" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29054.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">525</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3846</span> Load Management Using Multiple Sequential Load Shaping Techniques</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amira%20M.%20Attia">Amira M. Attia</a>, <a href="https://publications.waset.org/abstracts/search?q=Karim%20H.%20Youssef"> Karim H. Youssef</a>, <a href="https://publications.waset.org/abstracts/search?q=Nabil%20H.%20Abbasi"> Nabil H. Abbasi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Demand Side Management (DSM) is an essential characteristic of current and future smart grid systems. As one of DSM functions, load management aims to control customers’ total electric consumption and utility’s load factor by using various load shaping techniques. However, applying load shaping techniques such as load shifting, peak clipping, or strategic conservation individually does not provide the desired level of improvement for load factor increment and/or customer’s bill reduction. In this paper, two load shaping techniques will be simulated as constrained optimization problems. The purpose is to reflect the application of combined load shifting and strategic conservation model together at the same time, and the application of combined load shifting and peak clipping model as well. The problem will be formulated and solved by using disciplined convex programming (CVX) based MATLAB® R2013b. Simulation results will be evaluated and compared for studying the most impactful multi-techniques model in improving load curve. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=convex%20programing" title="convex programing">convex programing</a>, <a href="https://publications.waset.org/abstracts/search?q=demand%20side%20management" title=" demand side management"> demand side management</a>, <a href="https://publications.waset.org/abstracts/search?q=load%20shaping" title=" load shaping"> load shaping</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple" title=" multiple"> multiple</a>, <a href="https://publications.waset.org/abstracts/search?q=building%20energy%20optimization" title=" building energy optimization"> building energy optimization</a> </p> <a href="https://publications.waset.org/abstracts/91746/load-management-using-multiple-sequential-load-shaping-techniques" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91746.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">313</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3845</span> Developing Performance Model for Road Side Elements Receiving Periodic Maintenance</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ayman%20M.%20Othman">Ayman M. Othman</a>, <a href="https://publications.waset.org/abstracts/search?q=Hassan%20Y.%20Ahmed"> Hassan Y. Ahmed</a>, <a href="https://publications.waset.org/abstracts/search?q=Tallat%20A.%20Ali"> Tallat A. Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Inadequate maintenance programs and funds allocated for highway networks in the developed countries have led to fast deterioration of road side elements. Therefore, this research focuses on developing a performance model for road side elements periodic maintenance activities. Road side elements that receive periodic maintenance include; earthen shoulder, road signs and traffic markings. Using the level of service concept, the developed model can determine the optimal periodic maintenance intervals for those elements based on a selected level of service suitable with the available periodic maintenance budget. Data related to time periods for progressive deterioration stages for the chosen elements were collected. Ten maintenance experts in Aswan, Sohag and Assiut cities were interviewed for that purpose. Time in months related to 10%, 25%, 40%, 50%, 75%, 90% and 100% deterioration of each road side element was estimated based on the experts opinion. Least square regression analysis has shown that a power function represents the best fit for earthen shoulders edge drop-off and damage of road signs with time. It was also evident that, the progressive dirtiness of road signs could be represented by a quadratic function an a linear function could represent the paint degradation nature of both traffic markings and road signs. Actual measurements of earthen shoulder edge drop-off agree considerably with the developed model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=deterioration" title="deterioration">deterioration</a>, <a href="https://publications.waset.org/abstracts/search?q=level%20of%20service" title=" level of service"> level of service</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20maintenance" title=" periodic maintenance"> periodic maintenance</a>, <a href="https://publications.waset.org/abstracts/search?q=performance%20model" title=" performance model"> performance model</a>, <a href="https://publications.waset.org/abstracts/search?q=road%20side%20element" title=" road side element"> road side element</a> </p> <a href="https://publications.waset.org/abstracts/22603/developing-performance-model-for-road-side-elements-receiving-periodic-maintenance" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22603.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">572</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3844</span> Continuous Differential Evolution Based Parameter Estimation Framework for Signal Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ammara%20Mehmood">Ammara Mehmood</a>, <a href="https://publications.waset.org/abstracts/search?q=Aneela%20Zameer"> Aneela Zameer</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Asif%20Zahoor%20Raja"> Muhammad Asif Zahoor Raja</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Faisal%20Fateh"> Muhammad Faisal Fateh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, the strength of bio-inspired computational intelligence based technique is exploited for parameter estimation for the periodic signals using Continuous Differential Evolution (CDE) by defining an error function in the mean square sense. Multidimensional and nonlinear nature of the problem emerging in sinusoidal signal models along with noise makes it a challenging optimization task, which is dealt with robustness and effectiveness of CDE to ensure convergence and avoid trapping in local minima. In the proposed scheme of Continuous Differential Evolution based Signal Parameter Estimation (CDESPE), unknown adjustable weights of the signal system identification model are optimized utilizing CDE algorithm. The performance of CDESPE model is validated through statistics based various performance indices on a sufficiently large number of runs in terms of estimation error, mean squared error and Thiel’s inequality coefficient. Efficacy of CDESPE is examined by comparison with the actual parameters of the system, Genetic Algorithm based outcomes and from various deterministic approaches at different signal-to-noise ratio (SNR) levels. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parameter%20estimation" title="parameter estimation">parameter estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=bio-inspired%20computing" title=" bio-inspired computing"> bio-inspired computing</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous%20differential%20evolution%20%28CDE%29" title=" continuous differential evolution (CDE)"> continuous differential evolution (CDE)</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20signals" title=" periodic signals"> periodic signals</a> </p> <a href="https://publications.waset.org/abstracts/72735/continuous-differential-evolution-based-parameter-estimation-framework-for-signal-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72735.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">302</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3843</span> Fabrication of Periodic Graphene-Like Structure of Zinc Oxide Piezoelectric Device</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zi-Gui%20Huang">Zi-Gui Huang</a>, <a href="https://publications.waset.org/abstracts/search?q=Shen-Hsien%20Hu"> Shen-Hsien Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study proposes a fabrication of phononic-crystal acoustic wave device. A graphene-like atomic structure was adopted as the main research subject, and a graphene-like structure was designed using piezoelectric material zinc oxide and its periodic boundary conditions were defined using the finite element method. The effects of a hexagonal honeycomb structure were investigated regarding the band gap phenomenon. The use of micro-electromechanical systems process technology to make the film etched micron graphics, designed to produce four kinds of different piezoelectric structure (plat, periodic, single defect and double defects). Frequency response signals and phase change were also measured in this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=MEMS" title="MEMS">MEMS</a>, <a href="https://publications.waset.org/abstracts/search?q=phononic%20crystal" title=" phononic crystal"> phononic crystal</a>, <a href="https://publications.waset.org/abstracts/search?q=piezoelectric%20material" title=" piezoelectric material"> piezoelectric material</a>, <a href="https://publications.waset.org/abstracts/search?q=Zinc%20oxide" title=" Zinc oxide"> Zinc oxide</a> </p> <a href="https://publications.waset.org/abstracts/26268/fabrication-of-periodic-graphene-like-structure-of-zinc-oxide-piezoelectric-device" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26268.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">538</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3842</span> Effects of Continuous and Periodic Aerobic Exercises on C Reactive Protein in Overweight Women</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maesoomeh%20Khorshidi%20Mehr">Maesoomeh Khorshidi Mehr</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Sajadian"> Mohammad Sajadian</a>, <a href="https://publications.waset.org/abstracts/search?q=Shadi%20Alipour"> Shadi Alipour</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of the present study was to compare the effects of eight weeks of continuous and periodic aerobic exercises on serum levels of CRP in overweight woman. 36 woman aged between 20 and 35 years from the city of Ahwaz were randomly selected as the sample of the study. This sample was further divided into three groups (n= 12) of continuous aerobic exercise, periodic aerobic exercise, and control. Subjects of the groups of continuous and periodic aerobic exercise participated in 8 weeks of specialized exercises while the control group subjects did not take part in any regular physical activity program. Blood samples were collected from subjects in 24 hours prior to and 48 hours past to the intervention period. Afterwards, the serum level of CRP was measured for each blood sample. Results showed that BMI and serum level of CRP both significantly reduced as a result of aerobic exercises. However, no statistically significant difference was recorded between the extent of effects of the former and latter aerobic exercise types. Eight weeks of aerobic exercise will probably result in reduced inflammation and cardiovascular diseases risk in overweight women. The reason for lack of difference between effects of continuous and periodic aerobic exercise may lie in the similarity of average intensity and length of physical administered activities. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heart%20diseases" title="heart diseases">heart diseases</a>, <a href="https://publications.waset.org/abstracts/search?q=aerobic%20exercise" title=" aerobic exercise"> aerobic exercise</a>, <a href="https://publications.waset.org/abstracts/search?q=inflammation" title=" inflammation"> inflammation</a>, <a href="https://publications.waset.org/abstracts/search?q=CRP" title=" CRP"> CRP</a>, <a href="https://publications.waset.org/abstracts/search?q=overweight" title=" overweight"> overweight</a> </p> <a href="https://publications.waset.org/abstracts/81738/effects-of-continuous-and-periodic-aerobic-exercises-on-c-reactive-protein-in-overweight-women" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/81738.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">201</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3841</span> Motion of an Infinitesimal Particle in Binary Stellar Systems: Kepler-34, Kepler-35, Kepler-16, Kepler-413</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rajib%20Mia">Rajib Mia</a>, <a href="https://publications.waset.org/abstracts/search?q=Badam%20Singh%20Kushvah"> Badam Singh Kushvah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present research was motivated by the recent discovery of the binary star systems. In this paper, we use the restricted three-body problem in the binary stellar systems, considering photogravitational effects of both the stars. The aim of this study is to investigate the motion of the infinitesimal mass in the vicinity of the Lagrangian points. The stability and periodic orbits of collinear points and the stability and trajectories of the triangular points are studied in stellar binary systems Kepler-34, Kepler-35, Kepler-413 and Kepler-16 systems. A detailed comparison is made among periodic orbits and trajectories. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exoplanetary%20systems" title="exoplanetary systems">exoplanetary systems</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrangian%20points" title=" lagrangian points"> lagrangian points</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20orbit" title=" periodic orbit"> periodic orbit</a>, <a href="https://publications.waset.org/abstracts/search?q=restricted%20three%20body%20problem" title=" restricted three body problem"> restricted three body problem</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/28253/motion-of-an-infinitesimal-particle-in-binary-stellar-systems-kepler-34-kepler-35-kepler-16-kepler-413" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28253.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">434</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3840</span> Two Day Ahead Short Term Load Forecasting Neural Network Based</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Firas%20M.%20Tuaimah">Firas M. Tuaimah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an Artificial Neural Network based approach for short-term load forecasting and exactly for two days ahead. Two seasons have been discussed for Iraqi power system, namely summer and winter; the hourly load demand is the most important input variables for ANN based load forecasting. The recorded daily load profile with a lead time of 1-48 hours for July and December of the year 2012 was obtained from the operation and control center that belongs to the Ministry of Iraqi electricity. The results of the comparison show that the neural network gives a good prediction for the load forecasting and for two days ahead. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=short-term%20load%20forecasting" title="short-term load forecasting">short-term load forecasting</a>, <a href="https://publications.waset.org/abstracts/search?q=artificial%20neural%20networks" title=" artificial neural networks"> artificial neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=back%20propagation%20learning" title=" back propagation learning"> back propagation learning</a>, <a href="https://publications.waset.org/abstracts/search?q=hourly%20load%20demand" title=" hourly load demand"> hourly load demand</a> </p> <a href="https://publications.waset.org/abstracts/7878/two-day-ahead-short-term-load-forecasting-neural-network-based" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7878.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">464</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3839</span> Micromechanical Investigation on the Influence of Thermal Stress on Elastic Properties of Fiber-Reinforced Composites</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arber%20Sejdiji">Arber Sejdiji</a>, <a href="https://publications.waset.org/abstracts/search?q=Jan%20Schmitz-Huebsch"> Jan Schmitz-Huebsch</a>, <a href="https://publications.waset.org/abstracts/search?q=Christian%20Mittelstedt"> Christian Mittelstedt</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to its use in a broad range of temperatures, the prediction of elastic properties of fiber composite materials under thermal load is significant. Especially the transversal stiffness dominates the potential of use for fiber-reinforced composites (FRC). A numerical study on the influence of thermal stress on transversal stiffness of fiber-reinforced composites is presented. In the numerical study, a representative volume element (RVE) is used to estimate the elastic properties of a unidirectional ply with finite element method (FEM). For the investigation, periodic boundary conditions are applied to the RVE. Firstly, the elastic properties under pure mechanical load are derived numerically and compared to results, which are obtained by analytical methods. Thereupon thermo-mechanical load is implemented into the model to investigate the influence of temperature change with low temperature as a key aspect. Regarding low temperatures, the transversal stiffness increases intensely, especially when thermal stress is dominant over mechanical stress. This paper outlines the employed numerical methods as well as the derived results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20properties" title="elastic properties">elastic properties</a>, <a href="https://publications.waset.org/abstracts/search?q=micromechanics" title=" micromechanics"> micromechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20stress" title=" thermal stress"> thermal stress</a>, <a href="https://publications.waset.org/abstracts/search?q=representative%20volume%20element" title=" representative volume element"> representative volume element</a> </p> <a href="https://publications.waset.org/abstracts/108618/micromechanical-investigation-on-the-influence-of-thermal-stress-on-elastic-properties-of-fiber-reinforced-composites" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/108618.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">106</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3838</span> Second Order Analysis of Frames Using Modified Newmark Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Amin%20Vakili">Seyed Amin Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Sahar%20Sadat%20Vakili"> Sahar Sadat Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Ehsan%20Vakili"> Seyed Ehsan Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Nader%20Abdoli%20Yazdi"> Nader Abdoli Yazdi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main purpose of this paper is to present the Modified Newmark Method as a method of non-linear frame analysis by considering the effect of the axial load (second order analysis). The discussion will be restricted to plane frameworks containing a constant cross-section for each element. In addition, it is assumed that the frames are prevented from out-of-plane deflection. This part of the investigation is performed to generalize the established method for the assemblage structures such as frameworks. As explained, the governing differential equations are non-linear and cannot be formulated easily due to unknown axial load of the struts in the frame. By the assumption of constant axial load, the governing equations are changed to linear ones in most methods. Since the modeling and the solutions of the non-linear form of the governing equations are cumbersome, the linear form of the equations would be used in the established method. However, according to the ability of the method to reconsider the minor omitted parameters in modeling during the solution procedure, the axial load in the elements at each stage of the iteration can be computed and applied in the next stage. Therefore, the ability of the method to present an accurate approach to the solutions of non-linear equations will be demonstrated again in this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear" title="nonlinear">nonlinear</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=buckling" title=" buckling"> buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20%20newmark%20method" title=" modified newmark method"> modified newmark method</a> </p> <a href="https://publications.waset.org/abstracts/42635/second-order-analysis-of-frames-using-modified-newmark-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42635.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">425</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3837</span> Electric Load Forecasting Based on Artificial Neural Network for Iraqi Power System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Afaneen%20Anwer">Afaneen Anwer</a>, <a href="https://publications.waset.org/abstracts/search?q=Samara%20M.%20Kamil"> Samara M. Kamil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Load Forecast required prediction accuracy based on optimal operation and maintenance. A good accuracy is the basis of economic dispatch, unit commitment, and system reliability. A good load forecasting system fulfilled fast speed, automatic bad data detection, and ability to access the system automatically to get the needed data. In this paper, the formulation of the load forecasting is discussed and the solution is obtained by using artificial neural network method. A MATLAB environment has been used to solve the load forecasting schedule of Iraqi super grid network considering the daily load for three years. The obtained results showed a good accuracy in predicting the forecasted load. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=load%20forecasting" title="load forecasting">load forecasting</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20network" title=" neural network"> neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=back-propagation%20algorithm" title=" back-propagation algorithm"> back-propagation algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=Iraqi%20power%20system" title=" Iraqi power system"> Iraqi power system</a> </p> <a href="https://publications.waset.org/abstracts/19308/electric-load-forecasting-based-on-artificial-neural-network-for-iraqi-power-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19308.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">583</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">‹</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load&page=5">5</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=unknown%20periodic%20load&page=6">6</a></li> 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