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calculation</title> <meta name="description" content="Search results for: nonlinear calculation"> <meta name="keywords" content="nonlinear calculation"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block 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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="nonlinear calculation"> <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> 2532</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: nonlinear calculation</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2532</span> X-Ray Dynamical Diffraction 'Third Order Nonlinear Renninger Effect'</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Minas%20Balyan">Minas Balyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nowadays X-ray nonlinear diffraction and nonlinear effects are investigated due to the presence of the third generation synchrotron sources and XFELs. X-ray third order nonlinear dynamical diffraction is considered as well. Using the nonlinear model of the usual visible light optics the third-order nonlinear Takagi’s equations for monochromatic waves and the third-order nonlinear time-dependent dynamical diffraction equations for X-ray pulses are obtained by the author in previous papers. The obtained equations show, that even if the Fourier-coefficients of the linear and the third order nonlinear susceptibilities are zero (forbidden reflection), the dynamical diffraction in the nonlinear case is related to the presence in the nonlinear equations the terms proportional to the zero order and the second order nonzero Fourier coefficients of the third order nonlinear susceptibility. Thus, in the third order nonlinear Bragg diffraction case a nonlinear analogue of the well-known Renninger effect takes place. In this work, the 'third order nonlinear Renninger effect' is considered theoretically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bragg%20diffraction" title="Bragg diffraction">Bragg diffraction</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Takagi%E2%80%99s%20equations" title=" nonlinear Takagi’s equations"> nonlinear Takagi’s equations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Renninger%20effect" title=" nonlinear Renninger effect"> nonlinear Renninger effect</a>, <a href="https://publications.waset.org/abstracts/search?q=third%20order%20nonlinearity" title=" third order nonlinearity"> third order nonlinearity</a> </p> <a href="https://publications.waset.org/abstracts/55035/x-ray-dynamical-diffraction-third-order-nonlinear-renninger-effect" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55035.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">385</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">2531</span> Use of Gaussian-Euclidean Hybrid Function Based Artificial Immune System for Breast Cancer Diagnosis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Cuneyt%20Yucelbas">Cuneyt Yucelbas</a>, <a href="https://publications.waset.org/abstracts/search?q=Seral%20Ozsen"> Seral Ozsen</a>, <a href="https://publications.waset.org/abstracts/search?q=Sule%20Yucelbas"> Sule Yucelbas</a>, <a href="https://publications.waset.org/abstracts/search?q=Gulay%20Tezel"> Gulay Tezel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the fact that there exist only a small number of complex systems in artificial immune system (AIS) that work out nonlinear problems, nonlinear AIS approaches, among the well-known solution techniques, need to be developed. Gaussian function is usually used as similarity estimation in classification problems and pattern recognition. In this study, diagnosis of breast cancer, the second type of the most widespread cancer in women, was performed with different distance calculation functions that euclidean, gaussian and gaussian-euclidean hybrid function in the clonal selection model of classical AIS on Wisconsin Breast Cancer Dataset (WBCD), which was taken from the University of California, Irvine Machine-Learning Repository. We used 3-fold cross validation method to train and test the dataset. According to the results, the maximum test classification accuracy was reported as 97.35% by using of gaussian-euclidean hybrid function for fold-3. Also, mean of test classification accuracies for all of functions were obtained as 94.78%, 94.45% and 95.31% with use of euclidean, gaussian and gaussian-euclidean, respectively. With these results, gaussian-euclidean hybrid function seems to be a potential distance calculation method, and it may be considered as an alternative distance calculation method for hard nonlinear classification problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=artificial%20immune%20system" title="artificial immune system">artificial immune system</a>, <a href="https://publications.waset.org/abstracts/search?q=breast%20cancer%20diagnosis" title=" breast cancer diagnosis"> breast cancer diagnosis</a>, <a href="https://publications.waset.org/abstracts/search?q=Euclidean%20function" title=" Euclidean function"> Euclidean function</a>, <a href="https://publications.waset.org/abstracts/search?q=Gaussian%20function" title=" Gaussian function"> Gaussian function</a> </p> <a href="https://publications.waset.org/abstracts/5135/use-of-gaussian-euclidean-hybrid-function-based-artificial-immune-system-for-breast-cancer-diagnosis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5135.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">435</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">2530</span> Investigating Jacket-Type Offshore Structures Failure Probability by Applying the Reliability Analyses Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Majid%20Samiee%20Zonoozian">Majid Samiee Zonoozian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For such important constructions as jacket type platforms, scrupulous attention in analysis, design and calculation processes is needed. The reliability assessment method has been established into an extensively used method to behavior safety calculation of jacket platforms. In the present study, a methodology for the reliability calculation of an offshore jacket platform in contradiction of the extreme wave loading state is available. Therefore, sensitivity analyses are applied to acquire the nonlinear response of jacket-type platforms against extreme waves. The jacket structure is modeled by applying a nonlinear finite-element model with regards to the tubular members' behave. The probability of a member’s failure under extreme wave loading is figured by a finite-element reliability code. The FORM and SORM approaches are applied for the calculation of safety directories and reliability indexes have been detected. A case study for a fixed jacket-type structure positioned in the Persian Gulf is studied by means of the planned method. Furthermore, to define the failure standards, equations suggested by the 21st version of the API RP 2A-WSD for The jacket-type structures’ tubular members designing by applying the mixed axial bending and axial pressure. Consequently, the effect of wave Loades in the reliability index was considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jacket-Type%20structure" title="Jacket-Type structure">Jacket-Type structure</a>, <a href="https://publications.waset.org/abstracts/search?q=reliability" title=" reliability"> reliability</a>, <a href="https://publications.waset.org/abstracts/search?q=failure%20probability" title=" failure probability"> failure probability</a>, <a href="https://publications.waset.org/abstracts/search?q=tubular%20members" title=" tubular members"> tubular members</a> </p> <a href="https://publications.waset.org/abstracts/143840/investigating-jacket-type-offshore-structures-failure-probability-by-applying-the-reliability-analyses-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/143840.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">172</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">2529</span> Analytical Modeling of Equivalent Magnetic Circuit in Multi-segment and Multi-barrier Synchronous Reluctance Motor </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Huai-Cong%20Liu%EF%BC%8CTae%20Chul%20Jeong%EF%BC%8CJu%20Lee">Huai-Cong Liu，Tae Chul Jeong，Ju Lee </a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper describes characteristic analysis of a synchronous reluctance motor (SynRM)’s rotor with the Multi-segment and Multi-layer structure. The magnetic-saturation phenomenon in SynRM is often appeared. Therefore, when modeling analysis of SynRM the calculation of nonlinear magnetic field needs to be considered. An important influence factor on the convergence process is how to determine the relative permeability. An improved method, which ensures the calculation, is convergence by linear iterative method for saturated magnetic field. If there are inflection points on the magnetic curve,an optimum convergence method of solution for nonlinear magnetic field was provided. Then the equivalent magnetic circuit is calculated, and d,q-axis inductance can be got. At last, this process is applied to design a 7.5Kw SynRM and its validity is verified by comparing with the result of finite element method (FEM) and experimental test data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=SynRM" title="SynRM">SynRM</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic-saturation" title=" magnetic-saturation"> magnetic-saturation</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic%20circuit" title=" magnetic circuit"> magnetic circuit</a>, <a href="https://publications.waset.org/abstracts/search?q=analytical%20modeling" title=" analytical modeling"> analytical modeling</a> </p> <a href="https://publications.waset.org/abstracts/25307/analytical-modeling-of-equivalent-magnetic-circuit-in-multi-segment-and-multi-barrier-synchronous-reluctance-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25307.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">503</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">2528</span> A New Nonlinear State-Space Model and Its Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Eqal%20Al%20Mazrooei">Abdullah Eqal Al Mazrooei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, a new nonlinear model will be introduced. The model is in the state-space form. The nonlinearity of this model is in the state equation where the state vector is multiplied by its self. This technique makes our model generalizes many famous models as Lotka-Volterra model and Lorenz model which have many applications in the real life. We will apply our new model to estimate the wind speed by using a new nonlinear estimator which suitable to work with our model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20systems" title="nonlinear systems">nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=state-space%20model" title=" state-space model"> state-space model</a>, <a href="https://publications.waset.org/abstracts/search?q=Kronecker%20product" title=" Kronecker product"> Kronecker product</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20estimator" title=" nonlinear estimator"> nonlinear estimator</a> </p> <a href="https://publications.waset.org/abstracts/34407/a-new-nonlinear-state-space-model-and-its-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34407.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">691</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">2527</span> Achieving Better Security by Using Nonlinear Cellular Automata as a Cryptographic Primitive</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Swapan%20Maiti">Swapan Maiti</a>, <a href="https://publications.waset.org/abstracts/search?q=Dipanwita%20Roy%20Chowdhury"> Dipanwita Roy Chowdhury</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nonlinear functions are essential in different cryptoprimitives as they play an important role on the security of the cipher designs. Rule 30 was identified as a powerful nonlinear function for cryptographic applications. However, an attack (MS attack) was mounted against Rule 30 Cellular Automata (CA). Nonlinear rules as well as maximum period CA increase randomness property. In this work, nonlinear rules of maximum period nonlinear hybrid CA (M-NHCA) are studied and it is shown to be a better crypto-primitive than Rule 30 CA. It has also been analysed that the M-NHCA with single nonlinearity injection proposed in the literature is vulnerable against MS attack, whereas M-NHCA with multiple nonlinearity injections provide maximum length cycle as well as better cryptographic primitives and they are also secure against MS attack. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cellular%20automata" title="cellular automata">cellular automata</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20period%20nonlinear%20CA" title=" maximum period nonlinear CA"> maximum period nonlinear CA</a>, <a href="https://publications.waset.org/abstracts/search?q=Meier%20and%20Staffelbach%20attack" title=" Meier and Staffelbach attack"> Meier and Staffelbach attack</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20functions" title=" nonlinear functions"> nonlinear functions</a> </p> <a href="https://publications.waset.org/abstracts/72864/achieving-better-security-by-using-nonlinear-cellular-automata-as-a-cryptographic-primitive" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72864.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">314</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">2526</span> Influence of Behavior Models on the Response of a Reinforced Concrete Frame: Multi-Fiber Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Kahil">A. Kahil</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Nekmouche"> A. Nekmouche</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Khelil"> N. Khelil</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Hamadou"> I. Hamadou</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Hamizi"> M. Hamizi</a>, <a href="https://publications.waset.org/abstracts/search?q=Ne.%20Hannachi"> Ne. Hannachi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this work is to study the influence of the nonlinear behavior models of the concrete (concrete_BAEL and concrete_UNI) as well as the confinement brought by the transverse reinforcement on the seismic response of reinforced concrete frame (RC/frame). These models as well as the confinement are integrated in the Cast3m finite element calculation code. The consideration of confinement (TAC, taking into account the confinement) provided by the transverse reinforcement and the non-consideration of confinement (without consideration of containment, WCC) in the presence and absence of a vertical load is studied. The application was made on a reinforced concrete frame (RC/frame) with 3 levels and 2 spans. The results show that on the one hand, the concrete_BAEL model slightly underestimates the resistance of the RC/frame in the plastic field, whereas the concrete_uni model presents the best results compared to the simplified model "concrete_BAEL", on the other hand, for the concrete-uni model, taking into account the confinement has no influence on the behavior of the RC/frame under imposed displacement up to a vertical load of 500 KN. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reinforced%20concrete" title="reinforced concrete">reinforced concrete</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20calculation" title=" nonlinear calculation"> nonlinear calculation</a>, <a href="https://publications.waset.org/abstracts/search?q=behavior%20laws" title=" behavior laws"> behavior laws</a>, <a href="https://publications.waset.org/abstracts/search?q=fiber%20model%20confinement" title=" fiber model confinement"> fiber model confinement</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a> </p> <a href="https://publications.waset.org/abstracts/95517/influence-of-behavior-models-on-the-response-of-a-reinforced-concrete-frame-multi-fiber-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95517.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">163</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">2525</span> Nonlinear Observer Canonical Form for Genetic Regulation Process</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bououden%20Soraya">Bououden Soraya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper aims to study the existence of the change of coordinates which permits to transform a class of nonlinear dynamical systems into the so-called nonlinear observer canonical form (NOCF). Moreover, an algorithm to construct such a change of coordinates is given. Based on this form, we can design an observer with a linear error dynamic. This enables us to estimate the state of a nonlinear dynamical system. A concrete example (biological model) is provided to illustrate the feasibility of the proposed results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20observer%20canonical%20form" title="nonlinear observer canonical form">nonlinear observer canonical form</a>, <a href="https://publications.waset.org/abstracts/search?q=observer" title=" observer"> observer</a>, <a href="https://publications.waset.org/abstracts/search?q=design" title=" design"> design</a>, <a href="https://publications.waset.org/abstracts/search?q=gene%20regulation" title=" gene regulation"> gene regulation</a>, <a href="https://publications.waset.org/abstracts/search?q=gene%20expression" title=" gene expression"> gene expression</a> </p> <a href="https://publications.waset.org/abstracts/37920/nonlinear-observer-canonical-form-for-genetic-regulation-process" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37920.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">432</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">2524</span> Nonlinear Analysis of a Building Surmounted by a RC Water Tank under Hydrodynamic Load</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hocine%20Hammoum">Hocine Hammoum</a>, <a href="https://publications.waset.org/abstracts/search?q=Karima%20Bouzelha"> Karima Bouzelha</a>, <a href="https://publications.waset.org/abstracts/search?q=Lounis%20Ziani"> Lounis Ziani</a>, <a href="https://publications.waset.org/abstracts/search?q=Lounis%20Hamitouche"> Lounis Hamitouche</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study a complex structure which is an apartment building surmounted by a reinforced concrete water tank. The tank located on the top floor of the building is a container with capacity of 1000 m<sup>3</sup>. The building is complex in its design, its calculation and by its behavior under earthquake effect. This structure located in Algiers and aged of 53 years has been subjected to several earthquakes, but the earthquake of May 21<sup>st</sup>, 2003 with a magnitude of 6.7 on the Richter scale that struck Boumerdes region at 40 Kms East of Algiers was fatal for it. It was downgraded after an investigation study because the central core sustained serious damage. In this paper, to estimate the degree of its damages, the seismic performance of the structure will be evaluated taking into account the hydrodynamic effect, using a static equivalent nonlinear analysis called pushover. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=performance%20analysis" title="performance analysis">performance analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=building" title=" building"> building</a>, <a href="https://publications.waset.org/abstracts/search?q=reinforced%20concrete%20tank" title=" reinforced concrete tank"> reinforced concrete tank</a>, <a href="https://publications.waset.org/abstracts/search?q=seismic%20analysis" title=" seismic analysis"> seismic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20analysis" title=" nonlinear analysis"> nonlinear analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamic" title=" hydrodynamic"> hydrodynamic</a>, <a href="https://publications.waset.org/abstracts/search?q=pushover" title=" pushover"> pushover</a> </p> <a href="https://publications.waset.org/abstracts/45967/nonlinear-analysis-of-a-building-surmounted-by-a-rc-water-tank-under-hydrodynamic-load" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45967.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">421</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">2523</span> X-Ray Dynamical Diffraction Rocking Curves in Case of Third Order Nonlinear Renninger Effect</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Minas%20Balyan">Minas Balyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the third-order nonlinear Takagi’s equations for monochromatic waves and in the third-order nonlinear time-dependent dynamical diffraction equations for X-ray pulses for forbidden reflections the Fourier-coefficients of the linear and the third order nonlinear susceptibilities are zero. The dynamical diffraction in the nonlinear case is related to the presence in the nonlinear equations the terms proportional to the zero order and the second order nonzero Fourier coefficients of the third order nonlinear susceptibility. Thus in the third order nonlinear Bragg diffraction case a nonlinear analogue of the well known Renninger effect takes place. In this work, the ‘third order nonlinear Renninger effect’ is considered theoretically and numerically. If the reflection exactly is forbidden the diffracted wave’s amplitude is zero both in Laue and Bragg cases since the boundary conditions and dynamical diffraction equations are compatible with zero solution. But in real crystals due to some percent of dislocations and other localized defects, the atoms are displaced with respect to their equilibrium positions. Thus in real crystals susceptibilities of forbidden reflection are by some order small than for usual not forbidden reflections but are not exactly equal to zero. The numerical calculations for susceptibilities two order less than for not forbidden reflection show that in Bragg geometry case the nonlinear reflection curve’s behavior is the same as for not forbidden reflection, but for forbidden reflection the rocking curves’ width, center and boundaries are two order sensitive on the input intensity value. This gives an opportunity to investigate third order nonlinear X-ray dynamical diffraction for not intense beams – 0.001 in the units of critical intensity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=third%20order%20nonlinearity" title="third order nonlinearity">third order nonlinearity</a>, <a href="https://publications.waset.org/abstracts/search?q=Bragg%20diffraction" title=" Bragg diffraction"> Bragg diffraction</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Renninger%20effect" title=" nonlinear Renninger effect"> nonlinear Renninger effect</a>, <a href="https://publications.waset.org/abstracts/search?q=rocking%20curves" title=" rocking curves"> rocking curves</a> </p> <a href="https://publications.waset.org/abstracts/56984/x-ray-dynamical-diffraction-rocking-curves-in-case-of-third-order-nonlinear-renninger-effect" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56984.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">406</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">2522</span> A Filtering Algorithm for a Nonlinear State-Space Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Eqal%20Al%20Mazrooei">Abdullah Eqal Al Mazrooei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Kalman filter is a famous algorithm that utilizes to estimate the state in the linear systems. It has numerous applications in technology and science. Since of the most of applications in real life can be described by nonlinear systems. So, Kalman filter does not work with the nonlinear systems because it is suitable to linear systems only. In this work, a nonlinear filtering algorithm is presented which is suitable to use with the special kinds of nonlinear systems. This filter generalizes the Kalman filter. This means that this filter also can be used for the linear systems. Our algorithm depends on a special linearization of the second degree. We introduced the nonlinear algorithm with a bilinear state-space model. A simulation example is presented to illustrate the efficiency of the algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kalman%20filter" title="Kalman filter">Kalman filter</a>, <a href="https://publications.waset.org/abstracts/search?q=filtering%20algorithm" title=" filtering algorithm"> filtering algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20systems" title=" nonlinear systems"> nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=state-space%20model" title=" state-space model"> state-space model</a> </p> <a href="https://publications.waset.org/abstracts/74331/a-filtering-algorithm-for-a-nonlinear-state-space-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74331.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">375</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">2521</span> Nonlinear Impact Responses for a Damped Frame Supported by Nonlinear Springs with Hysteresis Using Fast FEA</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20Yamaguchi">T. Yamaguchi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Watanabe"> M. Watanabe</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Sasajima"> M. Sasajima</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Yuan"> C. Yuan</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Maruyama"> S. Maruyama</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20B.%20Ibrahim"> T. B. Ibrahim</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Tomita"> H. Tomita</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with nonlinear vibration analysis using finite element method for frame structures consisting of elastic and viscoelastic damping layers supported by multiple nonlinear concentrated springs with hysteresis damping. The frame is supported by four nonlinear concentrated springs near the four corners. The restoring forces of the springs have cubic non-linearity and linear component of the nonlinear springs has complex quantity to represent linear hysteresis damping. The damping layer of the frame structures has complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled differential equations using normal coordinate corresponding to linear natural modes. Comparing shares of strain energy of the elastic frame, the damping layer and the springs, we evaluate the influences of the damping couplings on the linear and nonlinear impact responses. We also investigate influences of damping changed by stiffness of the elastic frame on the nonlinear coupling in the damped impact responses. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20response" title="dynamic response">dynamic response</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20impact%20response" title=" nonlinear impact response"> nonlinear impact response</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20analysis" title=" numerical analysis"> numerical analysis</a> </p> <a href="https://publications.waset.org/abstracts/15947/nonlinear-impact-responses-for-a-damped-frame-supported-by-nonlinear-springs-with-hysteresis-using-fast-fea" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15947.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">2520</span> A Comparison of Energy Calculations for a Single-Family Detached Home with Two Energy Simulation Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amir%20Sattari">Amir Sattari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For newly produced houses and energy renovations, an energy calculation needs to be conducted. This is done to verify whether the energy consumption criteria of the house -to reach the energy targets by 2020 and 2050- are in-line with the norms. The main purpose of this study is to confirm whether easy to use energy calculation software or hand calculations used by small companies or individuals give logical results compared to advanced energy simulation program used by researchers or bigger companies. There are different methods for calculating energy consumption. In this paper, two energy calculation programs are used and the relation of energy consumption with solar radiation is compared. A hand calculation is also done to validate whether the hand calculations are still reasonable. The two computer programs which have been used are TMF Energi (the easy energy calculation variant used by small companies or individuals) and IDA ICE - Indoor Climate and Energy (the advanced energy simulation program used by researchers or larger companies). The calculations are done for a standard house from the Swedish house supplier Fiskarhedenvillan. The method is based on having the same conditions and inputs in the different calculation forms so that the results can be compared and verified. The house has been faced differently to see how the orientation affects energy consumption in different methods. The results for the simulations are close to each other and the hand calculation differs from the computer programs by only 5%. Even if solar factors differ due to the orientation of the house, energy calculation results from different computer programs and even hand calculation methods are in line with each other. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=energy%20calculation" title="energy calculation">energy calculation</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20consumption" title=" energy consumption"> energy consumption</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20simulation" title=" energy simulation"> energy simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=IDA%20ICE" title=" IDA ICE"> IDA ICE</a>, <a href="https://publications.waset.org/abstracts/search?q=TMF%20energi" title=" TMF energi"> TMF energi</a> </p> <a href="https://publications.waset.org/abstracts/112034/a-comparison-of-energy-calculations-for-a-single-family-detached-home-with-two-energy-simulation-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/112034.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">115</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">2519</span> Direct Design of Steel Bridge Using Nonlinear Inelastic Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boo-Sung%20Koh">Boo-Sung Koh</a>, <a href="https://publications.waset.org/abstracts/search?q=Seung-Eock%20Kim"> Seung-Eock Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a direct design using a nonlinear inelastic analysis is suggested. Also, this paper compares the load carrying capacity obtained by a nonlinear inelastic analysis with experiment results to verify the accuracy of the results. The allowable stress design results of a railroad through a plate girder bridge and the safety factor of the nonlinear inelastic analysis were compared to examine the safety performance. As a result, the load safety factor for the nonlinear inelastic analysis was twice as high as the required safety factor under the allowable stress design standard specified in the civil engineering structure design standards for urban magnetic levitation railways, which further verified the advantages of the proposed direct design method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=direct%20design" title="direct design">direct design</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20inelastic%20analysis" title=" nonlinear inelastic analysis"> nonlinear inelastic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=residual%20stress" title=" residual stress"> residual stress</a>, <a href="https://publications.waset.org/abstracts/search?q=initial%20geometric%20imperfection" title=" initial geometric imperfection"> initial geometric imperfection</a> </p> <a href="https://publications.waset.org/abstracts/24354/direct-design-of-steel-bridge-using-nonlinear-inelastic-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24354.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">531</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">2518</span> Soliton Solutions of the Higher-Order Nonlinear Schrödinger Equation with Dispersion Effects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Triki">H. Triki</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Hamaizi"> Y. Hamaizi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20El-Akrmi"> A. El-Akrmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the higher order nonlinear Schrödinger equation model with fourth-order dispersion, cubic-quintic terms, and self-steepening. This equation governs the propagation of fem to second pulses in optical fibers. We present new bright and dark solitary wave type solutions for such a model under certain parametric conditions. This kind of solution may be useful to explain some physical phenomena related to wave propagation in a nonlinear optical fiber systems supporting high-order nonlinear and dispersive effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Schr%C3%B6dinger%20equation" title="nonlinear Schrödinger equation">nonlinear Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=high-order%20effects" title=" high-order effects"> high-order effects</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton%20solution" title=" soliton solution"> soliton solution</a> </p> <a href="https://publications.waset.org/abstracts/11564/soliton-solutions-of-the-higher-order-nonlinear-schrodinger-equation-with-dispersion-effects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11564.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">635</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">2517</span> Modeling and Controlling Nonlinear Dynamical Effects in Non-Contact Superconducting and Diamagnetic Suspensions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sergey%20Kuznetsov">Sergey Kuznetsov</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuri%20Urman"> Yuri Urman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present an approach to investigate non-linear dynamical effects occurring in the noncontact superconducting and diamagnetic suspensions, when levitated body has finite size. This approach is based on the calculation of interaction energy between spherical finite size superconducting or diamagnetic body with external magnetic field. Effects of small deviations from spherical shape may be also taken into account by introducing small corrections to the energy. This model allows investigating dynamical effects important for practical applications, such as nonlinear resonances, change of vibration plane, coupling of rotational and translational motions etc. We also show how the geometry of suspension affects various dynamical effects and how an inverse problem may be formulated to enforce or diminish various dynamical effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=levitation" title="levitation">levitation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20dynamics" title=" non-linear dynamics"> non-linear dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=superconducting" title=" superconducting"> superconducting</a>, <a href="https://publications.waset.org/abstracts/search?q=diamagnetic%20stability" title=" diamagnetic stability "> diamagnetic stability </a> </p> <a href="https://publications.waset.org/abstracts/47249/modeling-and-controlling-nonlinear-dynamical-effects-in-non-contact-superconducting-and-diamagnetic-suspensions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47249.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">410</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">2516</span> State Estimation Method Based on Unscented Kalman Filter for Vehicle Nonlinear Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wataru%20Nakamura">Wataru Nakamura</a>, <a href="https://publications.waset.org/abstracts/search?q=Tomoaki%20Hashimoto"> Tomoaki Hashimoto</a>, <a href="https://publications.waset.org/abstracts/search?q=Liang-Kuang%20Chen"> Liang-Kuang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper provides a state estimation method for automatic control systems of nonlinear vehicle dynamics. A nonlinear tire model is employed to represent the realistic behavior of a vehicle. In general, all the state variables of control systems are not precisedly known, because those variables are observed through output sensors and limited parts of them might be only measurable. Hence, automatic control systems must incorporate some type of state estimation. It is needed to establish a state estimation method for nonlinear vehicle dynamics with restricted measurable state variables. For this purpose, unscented Kalman filter method is applied in this study for estimating the state variables of nonlinear vehicle dynamics. The objective of this paper is to propose a state estimation method using unscented Kalman filter for nonlinear vehicle dynamics. The effectiveness of the proposed method is verified by numerical simulations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=state%20estimation" title="state estimation">state estimation</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20systems" title=" control systems"> control systems</a>, <a href="https://publications.waset.org/abstracts/search?q=observer%20systems" title=" observer systems"> observer systems</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20systems" title=" nonlinear systems"> nonlinear systems</a> </p> <a href="https://publications.waset.org/abstracts/118764/state-estimation-method-based-on-unscented-kalman-filter-for-vehicle-nonlinear-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/118764.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">135</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">2515</span> Numerical Iteration Method to Find New Formulas for Nonlinear Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kholod%20Mohammad%20Abualnaja">Kholod Mohammad Abualnaja</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A new algorithm is presented to find some new iterative methods for solving nonlinear equations F(x)=0 by using the variational iteration method. The efficiency of the considered method is illustrated by example. The results show that the proposed iteration technique, without linearization or small perturbation, is very effective and convenient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=variational%20iteration%20method" title="variational iteration method">variational iteration method</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equations" title=" nonlinear equations"> nonlinear equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multiplier" title=" Lagrange multiplier"> Lagrange multiplier</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithms" title=" algorithms "> algorithms </a> </p> <a href="https://publications.waset.org/abstracts/12184/numerical-iteration-method-to-find-new-formulas-for-nonlinear-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12184.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">545</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">2514</span> Study of NGL Feed Price Calculation for a Typical NGL Fractionation Plant</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Simin%20Eydivand">Simin Eydivand</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Ghanadieslami"> Ali Ghanadieslami</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Amiri"> Reza Amiri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Natural gas liquids (NGLs) are light hydrocarbons that are dissolved in associated or non‐associated natural gas in a hydrocarbon reservoir and are produced within a gas stream. There are different ways to calculate the price of NGL. In this study, a spreadsheet calculation method is used for calculation of NGL price with an attractive economy of IRR 25%. For a typical NGL Plant with 3,200,000 t/y capacity of investment and operation of 90% capacity to have IRR 25%, the price of NGL is calculated 277 $/t. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=natural%20gas%20liquid" title="natural gas liquid">natural gas liquid</a>, <a href="https://publications.waset.org/abstracts/search?q=NGL" title=" NGL"> NGL</a>, <a href="https://publications.waset.org/abstracts/search?q=LPG" title=" LPG"> LPG</a>, <a href="https://publications.waset.org/abstracts/search?q=price" title=" price"> price</a>, <a href="https://publications.waset.org/abstracts/search?q=NGL%20fractionation" title=" NGL fractionation"> NGL fractionation</a>, <a href="https://publications.waset.org/abstracts/search?q=NF" title=" NF"> NF</a>, <a href="https://publications.waset.org/abstracts/search?q=investment" title=" investment"> investment</a>, <a href="https://publications.waset.org/abstracts/search?q=IRR" title=" IRR"> IRR</a>, <a href="https://publications.waset.org/abstracts/search?q=NPV" title=" NPV"> NPV</a> </p> <a href="https://publications.waset.org/abstracts/33705/study-of-ngl-feed-price-calculation-for-a-typical-ngl-fractionation-plant" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33705.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">406</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">2513</span> Simulation of Propagation of Cos-Gaussian Beam in Strongly Nonlocal Nonlinear Media Using Paraxial Group Transformation </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Keshavarz">A. Keshavarz</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20Roosta"> Z. Roosta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, propagation of cos-Gaussian beam in strongly nonlocal nonlinear media has been stimulated by using paraxial group transformation. At first, cos-Gaussian beam, nonlocal nonlinear media, critical power, transfer matrix, and paraxial group transformation are introduced. Then, the propagation of the cos-Gaussian beam in strongly nonlocal nonlinear media is simulated. Results show that beam propagation has periodic structure during self-focusing effect in this case. However, this simple method can be used for investigation of propagation of kinds of beams in ABCD optical media. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=paraxial%20group%20transformation" title="paraxial group transformation">paraxial group transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20nonlinear%20media" title=" nonlocal nonlinear media"> nonlocal nonlinear media</a>, <a href="https://publications.waset.org/abstracts/search?q=cos-Gaussian%20beam" title=" cos-Gaussian beam"> cos-Gaussian beam</a>, <a href="https://publications.waset.org/abstracts/search?q=ABCD%20law" title=" ABCD law"> ABCD law</a> </p> <a href="https://publications.waset.org/abstracts/52660/simulation-of-propagation-of-cos-gaussian-beam-in-strongly-nonlocal-nonlinear-media-using-paraxial-group-transformation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52660.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">342</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">2512</span> Performance of Stiffened Slender Built up Steel I-Columns</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20E.%20Abou-Hashem%20El%20Dib">M. E. Abou-Hashem El Dib</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Swailem"> M. K. Swailem</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20M.%20Metwally"> M. M. Metwally</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20I.%20El%20Awady"> A. I. El Awady</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present work illustrates a parametric study for the effect of stiffeners on the performance of slender built up steel I-columns. To achieve the desired analysis, finite element technique is used to develop nonlinear three-dimensional models representing the investigated columns. The finite element program (ANSYS 13.0) is used as a calculation tool for the necessary nonlinear analysis. A validation of the obtained numerical results is achieved. The considered parameters in the study are the column slenderness ratio and the horizontal stiffener's dimensions as well as the number of stiffeners. The dimensions of the stiffeners considered in the analysis are the stiffener width and the stiffener thickness. Numerical results signify a considerable effect of stiffeners on the performance and failure load of slender built up steel I-columns. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=columns" title="columns">columns</a>, <a href="https://publications.waset.org/abstracts/search?q=local%20buckling" title=" local buckling"> local buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=slender" title=" slender"> slender</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffener" title=" stiffener"> stiffener</a>, <a href="https://publications.waset.org/abstracts/search?q=thin%20walled%20section" title=" thin walled section"> thin walled section</a> </p> <a href="https://publications.waset.org/abstracts/47374/performance-of-stiffened-slender-built-up-steel-i-columns" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47374.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">319</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">2511</span> On the Strong Solutions of the Nonlinear Viscous Rotating Stratified Fluid</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Giniatoulline">A. Giniatoulline</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A nonlinear model of the mathematical fluid dynamics which describes the motion of an incompressible viscous rotating fluid in a homogeneous gravitational field is considered. The model is a generalization of the known Navier-Stokes system with the addition of the Coriolis parameter and the equations for changeable density. An explicit algorithm for the solution is constructed, and the proof of the existence and uniqueness theorems for the strong solution of the nonlinear problem is given. For the linear case, the localization and the structure of the spectrum of inner waves are also investigated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Galerkin%20method" title="Galerkin method">Galerkin method</a>, <a href="https://publications.waset.org/abstracts/search?q=Navier-Stokes%20equations" title=" Navier-Stokes equations"> Navier-Stokes equations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20partial%20differential%20equations" title=" nonlinear partial differential equations"> nonlinear partial differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Sobolev%20spaces" title=" Sobolev spaces"> Sobolev spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=stratified%20fluid" title=" stratified fluid"> stratified fluid</a> </p> <a href="https://publications.waset.org/abstracts/52024/on-the-strong-solutions-of-the-nonlinear-viscous-rotating-stratified-fluid" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52024.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">2510</span> Identification of Nonlinear Systems Using Radial Basis Function Neural Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=C.%20Pislaru">C. Pislaru</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Shebani"> A. Shebani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper uses the radial basis function neural network (RBFNN) for system identification of nonlinear systems. Five nonlinear systems are used to examine the activity of RBFNN in system modeling of nonlinear systems; the five nonlinear systems are dual tank system, single tank system, DC motor system, and two academic models. The feed forward method is considered in this work for modelling the non-linear dynamic models, where the K-Means clustering algorithm used in this paper to select the centers of radial basis function network, because it is reliable, offers fast convergence and can handle large data sets. The least mean square method is used to adjust the weights to the output layer, and Euclidean distance method used to measure the width of the Gaussian function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=system%20identification" title="system identification">system identification</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20systems" title=" nonlinear systems"> nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20networks" title=" neural networks"> neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20function" title=" radial basis function"> radial basis function</a>, <a href="https://publications.waset.org/abstracts/search?q=K-means%20clustering%20algorithm" title=" K-means clustering algorithm "> K-means clustering algorithm </a> </p> <a href="https://publications.waset.org/abstracts/14775/identification-of-nonlinear-systems-using-radial-basis-function-neural-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14775.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">470</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">2509</span> An Investigation on Hot-Spot Temperature Calculation Methods of Power Transformers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmet%20Y.%20Arabul">Ahmet Y. Arabul</a>, <a href="https://publications.waset.org/abstracts/search?q=Ibrahim%20Senol"> Ibrahim Senol</a>, <a href="https://publications.waset.org/abstracts/search?q=Fatma%20Keskin%20Arabul"> Fatma Keskin Arabul</a>, <a href="https://publications.waset.org/abstracts/search?q=Mustafa%20G.%20Aydeniz"> Mustafa G. Aydeniz</a>, <a href="https://publications.waset.org/abstracts/search?q=Yasemin%20Oner"> Yasemin Oner</a>, <a href="https://publications.waset.org/abstracts/search?q=Gokhan%20Kalkan"> Gokhan Kalkan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the standards of IEC 60076-2 and IEC 60076-7, three different hot-spot temperature estimation methods are suggested. In this study, the algorithms which used in hot-spot temperature calculations are analyzed by comparing the algorithms with the results of an experimental set-up made by a Transformer Monitoring System (TMS) in use. In tested system, TMS uses only top oil temperature and load ratio for hot-spot temperature calculation. And also, it uses some constants from standards which are on agreed statements tables. During the tests, it came out that hot-spot temperature calculation method is just making a simple calculation and not uses significant all other variables that could affect the hot-spot temperature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hot-spot%20temperature" title="Hot-spot temperature">Hot-spot temperature</a>, <a href="https://publications.waset.org/abstracts/search?q=monitoring%20system" title=" monitoring system"> monitoring system</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20transformer" title=" power transformer"> power transformer</a>, <a href="https://publications.waset.org/abstracts/search?q=smart%20grid" title=" smart grid"> smart grid</a> </p> <a href="https://publications.waset.org/abstracts/33034/an-investigation-on-hot-spot-temperature-calculation-methods-of-power-transformers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33034.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">2508</span> Design of a Fuzzy Luenberger Observer for Fault Nonlinear System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mounir%20Bekaik">Mounir Bekaik</a>, <a href="https://publications.waset.org/abstracts/search?q=Messaoud%20Ramdani"> Messaoud Ramdani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present in this work a new technique of stabilization for fault nonlinear systems. The approach we adopt focus on a fuzzy Luenverger observer. The T-S approximation of the nonlinear observer is based on fuzzy C-Means clustering algorithm to find local linear subsystems. The MOESP identification approach was applied to design an empirical model describing the subsystems state variables. The gain of the observer is given by the minimization of the estimation error through Lyapunov-krasovskii functional and LMI approach. We consider a three tank hydraulic system for an illustrative example. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20system" title="nonlinear system">nonlinear system</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy" title=" fuzzy"> fuzzy</a>, <a href="https://publications.waset.org/abstracts/search?q=faults" title=" faults"> faults</a>, <a href="https://publications.waset.org/abstracts/search?q=TS" title=" TS"> TS</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov-Krasovskii" title=" Lyapunov-Krasovskii"> Lyapunov-Krasovskii</a>, <a href="https://publications.waset.org/abstracts/search?q=observer" title=" observer"> observer</a> </p> <a href="https://publications.waset.org/abstracts/47230/design-of-a-fuzzy-luenberger-observer-for-fault-nonlinear-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47230.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">332</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">2507</span> Numerical Calculation of Heat Transfer in Water Heater</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Michal%20Spilacek">Michal Spilacek</a>, <a href="https://publications.waset.org/abstracts/search?q=Martin%20Lisy"> Martin Lisy</a>, <a href="https://publications.waset.org/abstracts/search?q=Marek%20Balas"> Marek Balas</a>, <a href="https://publications.waset.org/abstracts/search?q=Zdenek%20Skala"> Zdenek Skala</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article is trying to determine the status of flue gas that is entering the KWH heat exchanger from combustion chamber in order to calculate the heat transfer ratio of the heat exchanger. Combination of measurement, calculation, and computer simulation was used to create a useful way to approximate the heat transfer rate. The measurements were taken by a number of sensors that are mounted on the experimental device and by a thermal imaging camera. The results of the numerical calculation are in a good correspondence with the real power output of the experimental device. Results show that the research has a good direction and can be used to propose changes in the construction of the heat exchanger, but still needs enhancements. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heat%20exchanger" title="heat exchanger">heat exchanger</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer%20rate" title=" heat transfer rate"> heat transfer rate</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20calculation" title=" numerical calculation"> numerical calculation</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20images" title=" thermal images"> thermal images</a> </p> <a href="https://publications.waset.org/abstracts/26000/numerical-calculation-of-heat-transfer-in-water-heater" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26000.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">616</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">2506</span> Scrutiny and Solving Analytically Nonlinear Differential at Engineering Field of Fluids, Heat, Mass and Wave by New Method AGM</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammadreza%20Akbari">Mohammadreza Akbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Sara%20Akbari"> Sara Akbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Davood%20Domiri%20Ganji"> Davood Domiri Ganji</a>, <a href="https://publications.waset.org/abstracts/search?q=Pooya%20Solimani"> Pooya Solimani</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Khalili"> Reza Khalili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As all experts know most of engineering system behavior in practical are nonlinear process (especially heat, fluid and mass, etc.) and analytical solving (no numeric) these problems are difficult, complex and sometimes impossible like (fluids and gas wave, these problems can't solve with numeric method, because of no have boundary condition) accordingly in this symposium we are going to exposure a innovative approach which we have named it Akbari-Ganji's Method or AGM in engineering, that can solve sets of coupled nonlinear differential equations (ODE, PDE) with high accuracy and simple solution and so this issue will be emerged after comparing the achieved solutions by Numerical method (Runge-Kutte 4th) and so compare to other methods such as HPM, ADM,… and exact solutions. Eventually, AGM method will be proved that could be created huge evolution for researchers, professors and students (engineering and basic science) in whole over the world, because of AGM coding system, so by using this software we can analytically solve all complicated linear and nonlinear differential equations, with help of that there is no difficulty for solving nonlinear differential equations(ODE and PDE). In this paper, we investigate and solve 4 types of the nonlinear differential equation with AGM method : 1-Heat and fluid, 2-Unsteady state of nonlinear partial differential, 3-Coupled nonlinear partial differential in wave equation, and 4-Nonlinear integro-differential equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=new%20method%20AGM" title="new method AGM">new method AGM</a>, <a href="https://publications.waset.org/abstracts/search?q=sets%20of%20coupled%20nonlinear%20equations%20at%20engineering%20field" title=" sets of coupled nonlinear equations at engineering field"> sets of coupled nonlinear equations at engineering field</a>, <a href="https://publications.waset.org/abstracts/search?q=waves%20equations" title=" waves equations"> waves equations</a>, <a href="https://publications.waset.org/abstracts/search?q=integro-differential" title=" integro-differential"> integro-differential</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid%20and%20thermal" title=" fluid and thermal"> fluid and thermal</a> </p> <a href="https://publications.waset.org/abstracts/36022/scrutiny-and-solving-analytically-nonlinear-differential-at-engineering-field-of-fluids-heat-mass-and-wave-by-new-method-agm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36022.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">546</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">2505</span> Asymptotic Spectral Theory for Nonlinear Random Fields</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karima%20Kimouche">Karima Kimouche</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the asymptotic problems in spectral analysis of stationary causal random fields. We impose conditions only involving (conditional) moments, which are easily verifiable for a variety of nonlinear random fields. Limiting distributions of periodograms and smoothed periodogram spectral density estimates are obtained and applications to the spectral domain bootstrap are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spatial%20nonlinear%20processes" title="spatial nonlinear processes">spatial nonlinear processes</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20estimators" title=" spectral estimators"> spectral estimators</a>, <a href="https://publications.waset.org/abstracts/search?q=GMC%20condition" title=" GMC condition"> GMC condition</a>, <a href="https://publications.waset.org/abstracts/search?q=bootstrap%20method" title=" bootstrap method"> bootstrap method</a> </p> <a href="https://publications.waset.org/abstracts/12479/asymptotic-spectral-theory-for-nonlinear-random-fields" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12479.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">451</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">2504</span> Analytical Solving of Nonlinear Differential Equations in the Nonlinear Phenomena for Viscos Fluids </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arash%20Jafari">Arash Jafari</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Taghaddosi"> Mehdi Taghaddosi</a>, <a href="https://publications.waset.org/abstracts/search?q=Azin%20Parvin"> Azin Parvin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the paper, our purpose is to enhance the ability to solve a nonlinear differential equation which is about the motion of an incompressible fluid flow going down of an inclined plane without thermal effect with a simple and innovative approach which we have named it new method. Comparisons are made amongst the Numerical, new method, and HPM methods, and the results reveal that this method is very effective and simple and can be applied to other nonlinear problems. It is noteworthy that there are some valuable advantages in this way of solving differential equations, and also most of the sets of differential equations can be answered in this manner which in the other methods they do not have acceptable solutions up to now. A summary of the excellence of this method in comparison to the other manners is as follows: 1) Differential equations are directly solvable by this method. 2) Without any dimensionless procedure, we can solve equation(s). 3) It is not necessary to convert variables into new ones. According to the afore-mentioned assertions which will be proved in this case study, the process of solving nonlinear equation(s) will be very easy and convenient in comparison to the other methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=viscos%20fluid" title="viscos fluid">viscos fluid</a>, <a href="https://publications.waset.org/abstracts/search?q=incompressible%20fluid%20flow" title=" incompressible fluid flow"> incompressible fluid flow</a>, <a href="https://publications.waset.org/abstracts/search?q=inclined%20plane" title=" inclined plane"> inclined plane</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20phenomena" title=" nonlinear phenomena"> nonlinear phenomena</a> </p> <a href="https://publications.waset.org/abstracts/58352/analytical-solving-of-nonlinear-differential-equations-in-the-nonlinear-phenomena-for-viscos-fluids" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58352.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">2503</span> Existence Theory for First Order Functional Random Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rajkumar%20N.%20Ingle">Rajkumar N. Ingle</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the existence of a solution of nonlinear functional random differential equations of the first order is proved under caratheodory condition. The study of the functional random differential equation has got importance in the random analysis of the dynamical systems of universal phenomena. Objectives: Nonlinear functional random differential equation is useful to the scientists, engineers, and mathematicians, who are engaged in N.F.R.D.E. analyzing a universal random phenomenon, govern by nonlinear random initial value problems of D.E. Applications of this in the theory of diffusion or heat conduction. Methodology: Using the concepts of probability theory, functional analysis, generally the existence theorems for the nonlinear F.R.D.E. are prove by using some tools such as fixed point theorem. The significance of the study: Our contribution will be the generalization of some well-known results in the theory of Nonlinear F.R.D.E.s. Further, it seems that our study will be useful to scientist, engineers, economists and mathematicians in their endeavors to analyses the nonlinear random problems of the universe in a better way. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Random%20Fixed%20Point%20Theorem" title="Random Fixed Point Theorem">Random Fixed Point Theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=functional%20random%20differential%20equation" title=" functional random differential equation"> functional random differential equation</a>, <a href="https://publications.waset.org/abstracts/search?q=N.F.R.D.E." title=" N.F.R.D.E."> N.F.R.D.E.</a>, <a href="https://publications.waset.org/abstracts/search?q=universal%20random%20phenomenon" title=" universal random phenomenon "> universal random phenomenon </a> </p> <a 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