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Lagrange</title> <meta name="description" content="Search results for: Lagrange"> <meta name="keywords" content="Lagrange"> <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 d-lg-none navbar-toggler ml-auto" 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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="Lagrange"> <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> 84</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Lagrange</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">84</span> Element-Independent Implementation for Method of Lagrange Multipliers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gil-Eon%20Jeong">Gil-Eon Jeong</a>, <a href="https://publications.waset.org/abstracts/search?q=Sung-Kie%20Youn"> Sung-Kie Youn</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20C.%20Park"> K. C. Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Treatment for the non-matching interface is an important computational issue. To handle this problem, the method of Lagrange multipliers including classical and localized versions are the most popular technique. It essentially imposes the interface compatibility conditions by introducing Lagrange multipliers. However, the numerical system becomes unstable and inefficient due to the Lagrange multipliers. The interface element-independent formulation that does not include the Lagrange multipliers can be obtained by modifying the independent variables mathematically. Through this modification, more efficient and stable system can be achieved while involving equivalent accuracy comparing with the conventional method. A numerical example is conducted to verify the validity of the presented method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=element-independent%20formulation" title="element-independent formulation">element-independent formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=interface%20coupling" title=" interface coupling"> interface coupling</a>, <a href="https://publications.waset.org/abstracts/search?q=methods%20of%20Lagrange%20multipliers" title=" methods of Lagrange multipliers"> methods of Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=non-matching%20interface" title=" non-matching interface"> non-matching interface</a> </p> <a href="https://publications.waset.org/abstracts/62168/element-independent-implementation-for-method-of-lagrange-multipliers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/62168.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">403</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">83</span> Fast and Efficient Algorithms for Evaluating Uniform and Nonuniform Lagrange and Newton Curves</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taweechai%20Nuntawisuttiwong">Taweechai Nuntawisuttiwong</a>, <a href="https://publications.waset.org/abstracts/search?q=Natasha%20Dejdumrong"> Natasha Dejdumrong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Newton-Lagrange Interpolations are widely used in numerical analysis. However, it requires a quadratic computational time for their constructions. In computer aided geometric design (CAGD), there are some polynomial curves: Wang-Ball, DP and Dejdumrong curves, which have linear time complexity algorithms. Thus, the computational time for Newton-Lagrange Interpolations can be reduced by applying the algorithms of Wang-Ball, DP and Dejdumrong curves. In order to use Wang-Ball, DP and Dejdumrong algorithms, first, it is necessary to convert Newton-Lagrange polynomials into Wang-Ball, DP or Dejdumrong polynomials. In this work, the algorithms for converting from both uniform and non-uniform Newton-Lagrange polynomials into Wang-Ball, DP and Dejdumrong polynomials are investigated. Thus, the computational time for representing Newton-Lagrange polynomials can be reduced into linear complexity. In addition, the other utilizations of using CAGD curves to modify the Newton-Lagrange curves can be taken. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20interpolation" title="Lagrange interpolation">Lagrange interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20complexity" title=" linear complexity"> linear complexity</a>, <a href="https://publications.waset.org/abstracts/search?q=monomial%20matrix" title=" monomial matrix"> monomial matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%20interpolation" title=" Newton interpolation"> Newton interpolation</a> </p> <a href="https://publications.waset.org/abstracts/110424/fast-and-efficient-algorithms-for-evaluating-uniform-and-nonuniform-lagrange-and-newton-curves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/110424.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">234</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">82</span> PID Control of Quad-Rotor Unnamed Vehicle Based on Lagrange Approach Modelling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Benbouali">A. Benbouali</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Saidi"> H. Saidi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Derrouazin"> A. Derrouazin</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Bessaad"> T. Bessaad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aerial robotics is a very exciting research field dealing with a variety of subjects, including the attitude control. This paper deals with the control of a four rotor vertical take-off and landing (VTOL) Unmanned Aerial Vehicle. The paper presents a mathematical model based on the approach of Lagrange for the flight control of an autonomous quad-rotor. It also describes the controller architecture which is based on PID regulators. The control method has been simulated in closed loop in different situations. All the calculation stages and the simulation results have been detailed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quad-rotor" title="quad-rotor">quad-rotor</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20approach" title=" lagrange approach"> lagrange approach</a>, <a href="https://publications.waset.org/abstracts/search?q=proportional%20integral%20derivate%20%28PID%29%20controller" title=" proportional integral derivate (PID) controller"> proportional integral derivate (PID) controller</a>, <a href="https://publications.waset.org/abstracts/search?q=Matlab%2FSimulink" title=" Matlab/Simulink"> Matlab/Simulink</a> </p> <a href="https://publications.waset.org/abstracts/41867/pid-control-of-quad-rotor-unnamed-vehicle-based-on-lagrange-approach-modelling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41867.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">400</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">81</span> Hydrodynamic Simulation of Co-Current and Counter Current of Column Distillation Using Euler Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Troudi">H. Troudi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ghiss"> M. Ghiss</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20Tourki"> Z. Tourki</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ellejmi"> M. Ellejmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Packed columns of liquefied petroleum gas (LPG) consists of separating the liquid mixture of propane and butane to pure gas components by the distillation phenomenon. The flow of the gas and liquid inside the columns is operated by two ways: The co-current and the counter current operation. Heat, mass and species transfer between phases represent the most important factors that influence the choice between those two operations. In this paper, both processes are discussed using computational CFD simulation through ANSYS-Fluent software. Only 3D half section of the packed column was considered with one packed bed. The packed bed was characterized in our case as a porous media. The simulations were carried out at transient state conditions. A multi-component gas and liquid mixture were used out in the two processes. We utilized the Euler-Lagrange approach in which the gas was treated as a continuum phase and the liquid as a group of dispersed particles. The heat and the mass transfer process was modeled using multi-component droplet evaporation approach. The results show that the counter-current process performs better than the co-current, although such limitations of our approach are noted. This comparison gives accurate results for computations times higher than 2 s, at different gas velocity and at packed bed porosity of 0.9. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=co-current" title="co-current">co-current</a>, <a href="https://publications.waset.org/abstracts/search?q=counter-current" title=" counter-current"> counter-current</a>, <a href="https://publications.waset.org/abstracts/search?q=Euler-Lagrange%20model" title=" Euler-Lagrange model"> Euler-Lagrange model</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=mass%20transfer" title=" mass transfer"> mass transfer</a> </p> <a href="https://publications.waset.org/abstracts/60813/hydrodynamic-simulation-of-co-current-and-counter-current-of-column-distillation-using-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60813.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">212</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">80</span> Using Lagrange Equations to Study the Relative Motion of a Mechanism</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20A.%20Petre">R. A. Petre</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20E.%20Nichifor"> S. E. Nichifor</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Craifaleanu"> A. Craifaleanu</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Stroe"> I. Stroe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The relative motion of a robotic arm formed by homogeneous bars of different lengths and masses, hinged to each other is investigated. The first bar of the mechanism is articulated on a platform, considered initially fixed on the surface of the Earth, while for the second case the platform is considered to be in rotation with respect to the Earth. For both analyzed cases the motion equations are determined using the Lagrangian formalism, applied in its traditional form, valid with respect to an inertial reference system, conventionally considered as fixed. However, in the second case, a generalized form of the formalism valid with respect to a non-inertial reference frame will also be applied. The numerical calculations were performed using a MATLAB program. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20equations" title="Lagrange equations">Lagrange equations</a>, <a href="https://publications.waset.org/abstracts/search?q=relative%20motion" title=" relative motion"> relative motion</a>, <a href="https://publications.waset.org/abstracts/search?q=inertial%20reference%20frame" title=" inertial reference frame"> inertial reference frame</a>, <a href="https://publications.waset.org/abstracts/search?q=non-inertial%20reference%20frame" title=" non-inertial reference frame"> non-inertial reference frame</a> </p> <a href="https://publications.waset.org/abstracts/128576/using-lagrange-equations-to-study-the-relative-motion-of-a-mechanism" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/128576.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">122</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">79</span> Using Divergent Nozzle with Aerodynamic Lens to Focus Nanoparticles</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hasan%20Jumaah%20Mrayeh">Hasan Jumaah Mrayeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Fue-Sang%20Lien"> Fue-Sang Lien</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ANSYS Fluent will be used to simulate Computational Fluid Dynamics (CFD) for an efficient lens and nozzle design which will be explained in this paper. We have designed and characterized an aerodynamic lens and a divergent nozzle for focusing flow that transmits sub 25 nm particles through the aerodynamic lens. The design of the lens and nozzle has been improved using CFD for particle trajectories. We obtained a case for calculating nanoparticles (25 nm) flowing through the aerodynamic lens and divergent nozzle. Nanoparticles are transported by air, which is pumped into the aerodynamic lens through the nozzle at 1 atmospheric pressure. We have also developed a computational methodology that can determine the exact focus characteristics of aerodynamic lens systems. Particle trajectories were traced using the Lagrange approach. The simulation shows the ability of the aerodynamic lens to focus on 25 nm particles after using a divergent nozzle. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aerodynamic%20lens" title="aerodynamic lens">aerodynamic lens</a>, <a href="https://publications.waset.org/abstracts/search?q=divergent%20nozzle" title=" divergent nozzle"> divergent nozzle</a>, <a href="https://publications.waset.org/abstracts/search?q=ANSYS%20Fluent" title=" ANSYS Fluent"> ANSYS Fluent</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20approach" title=" Lagrange approach"> Lagrange approach</a> </p> <a href="https://publications.waset.org/abstracts/106210/using-divergent-nozzle-with-aerodynamic-lens-to-focus-nanoparticles" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/106210.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">306</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">78</span> Solving Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems using Smoothing Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=El%20Hassene%20Osmani">El Hassene Osmani</a>, <a href="https://publications.waset.org/abstracts/search?q=Mounir%20Haddou"> Mounir Haddou</a>, <a href="https://publications.waset.org/abstracts/search?q=Naceurdine%20Bensalem"> Naceurdine Bensalem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the state, and more precisely, the obstacle problem. We present a relaxed formulation for the problem using smoothing functions. Since we adopt a numerical point of view, we first relax the feasible domain of the problem, then using both mathematical programming methods and penalization methods, we get optimality conditions with smooth Lagrange multipliers. Some numerical experiments using IPOPT algorithm (Interior Point Optimizer) are presented to verify the efficiency of our approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complementarity%20problem" title="complementarity problem">complementarity problem</a>, <a href="https://publications.waset.org/abstracts/search?q=IPOPT" title=" IPOPT"> IPOPT</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multipliers" title=" Lagrange multipliers"> Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20programming" title=" mathematical programming"> mathematical programming</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=smoothing%20methods" title=" smoothing methods"> smoothing methods</a>, <a href="https://publications.waset.org/abstracts/search?q=variationally%20inequalities" title=" variationally inequalities"> variationally inequalities</a> </p> <a href="https://publications.waset.org/abstracts/132882/solving-optimal-control-of-semilinear-elliptic-variational-inequalities-obstacle-problems-using-smoothing-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/132882.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">77</span> Monte Carlo Estimation of Heteroscedasticity and Periodicity Effects in a Panel Data Regression Model </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nureni%20O.%20Adeboye">Nureni O. Adeboye</a>, <a href="https://publications.waset.org/abstracts/search?q=Dawud%20A.%20Agunbiade"> Dawud A. Agunbiade</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research attempts to investigate the effects of heteroscedasticity and periodicity in a Panel Data Regression Model (PDRM) by extending previous works on balanced panel data estimation within the context of fitting PDRM for Banks audit fee. The estimation of such model was achieved through the derivation of Joint Lagrange Multiplier (LM) test for homoscedasticity and zero-serial correlation, a conditional LM test for zero serial correlation given heteroscedasticity of varying degrees as well as conditional LM test for homoscedasticity given first order positive serial correlation via a two-way error component model. Monte Carlo simulations were carried out for 81 different variations, of which its design assumed a uniform distribution under a linear heteroscedasticity function. Each of the variation was iterated 1000 times and the assessment of the three estimators considered are based on Variance, Absolute bias (ABIAS), Mean square error (MSE) and the Root Mean Square (RMSE) of parameters estimates. Eighteen different models at different specified conditions were fitted, and the best-fitted model is that of within estimator when heteroscedasticity is severe at either zero or positive serial correlation value. LM test results showed that the tests have good size and power as all the three tests are significant at 5% for the specified linear form of heteroscedasticity function which established the facts that Banks operations are severely heteroscedastic in nature with little or no periodicity effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=audit%20fee%20lagrange%20multiplier%20test" title="audit fee lagrange multiplier test">audit fee lagrange multiplier test</a>, <a href="https://publications.waset.org/abstracts/search?q=heteroscedasticity" title=" heteroscedasticity"> heteroscedasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20multiplier%20test" title=" lagrange multiplier test"> lagrange multiplier test</a>, <a href="https://publications.waset.org/abstracts/search?q=Monte-Carlo%20scheme" title=" Monte-Carlo scheme"> Monte-Carlo scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=periodicity" title=" periodicity"> periodicity</a> </p> <a href="https://publications.waset.org/abstracts/107813/monte-carlo-estimation-of-heteroscedasticity-and-periodicity-effects-in-a-panel-data-regression-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/107813.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">141</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">76</span> Evaluation of Quasi-Newton Strategy for Algorithmic Acceleration</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20Martini">T. Martini</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20M.%20Mart%C3%ADnez"> J. M. Martínez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An algorithmic acceleration strategy based on quasi-Newton (or secant) methods is displayed for address the practical problem of accelerating the convergence of the Newton-Lagrange method in the case of convergence to critical multipliers. Since the Newton-Lagrange iteration converges locally at a linear rate, it is natural to conjecture that quasi-Newton methods based on the so called secant equation and some minimal variation principle, could converge superlinearly, thus restoring the convergence properties of Newton's method. This strategy can also be applied to accelerate the convergence of algorithms applied to fixed-points problems. Computational experience is reported illustrating the efficiency of this strategy to solve fixed-point problems with linear convergence rate. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algorithmic%20acceleration" title="algorithmic acceleration">algorithmic acceleration</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed-point%20problems" title=" fixed-point problems"> fixed-point problems</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20programming" title=" nonlinear programming"> nonlinear programming</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-newton%20method" title=" quasi-newton method"> quasi-newton method</a> </p> <a href="https://publications.waset.org/abstracts/35723/evaluation-of-quasi-newton-strategy-for-algorithmic-acceleration" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35723.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">489</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">75</span> The Implementation of Secton Method for Finding the Root of Interpolation Function</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nur%20Rokhman">Nur Rokhman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A mathematical function gives relationship between the variables composing the function. Interpolation can be viewed as a process of finding mathematical function which goes through some specified points. There are many interpolation methods, namely: Lagrange method, Newton method, Spline method etc. For some specific condition, such as, big amount of interpolation points, the interpolation function can not be written explicitly. This such function consist of computational steps. The solution of equations involving the interpolation function is a problem of solution of non linear equation. Newton method will not work on the interpolation function, for the derivative of the interpolation function cannot be written explicitly. This paper shows the use of Secton method to determine the numerical solution of the function involving the interpolation function. The experiment shows the fact that Secton method works better than Newton method in finding the root of Lagrange interpolation function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Secton%20method" title="Secton method">Secton method</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolation" title=" interpolation"> interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=non%20linear%20function" title=" non linear function"> non linear function</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20solution" title=" numerical solution"> numerical solution</a> </p> <a href="https://publications.waset.org/abstracts/1837/the-implementation-of-secton-method-for-finding-the-root-of-interpolation-function" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1837.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">379</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">74</span> A Modified Decoupled Semi-Analytical Approach Based On SBFEM for Solving 2D Elastodynamic Problems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Fakharian">M. Fakharian</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20I.%20Khodakarami"> M. I. Khodakarami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a new trend for improvement in semi-analytical method based on scale boundaries in order to solve the 2D elastodynamic problems is provided. In this regard, only the boundaries of the problem domain discretization are by specific sub-parametric elements. Mapping functions are uses as a class of higher-order Lagrange polynomials, special shape functions, Gauss-Lobatto -Legendre numerical integration, and the integral form of the weighted residual method, the matrix is diagonal coefficients in the equations of elastodynamic issues. Differences between study conducted and prior research in this paper is in geometry production procedure of the interpolation function and integration of the different is selected. Validity and accuracy of the present method are fully demonstrated through two benchmark problems which are successfully modeled using a few numbers of DOFs. The numerical results agree very well with the analytical solutions and the results from other numerical methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=2D%20elastodynamic%20problems" title="2D elastodynamic problems">2D elastodynamic problems</a>, <a href="https://publications.waset.org/abstracts/search?q=lagrange%20polynomials" title=" lagrange polynomials"> lagrange polynomials</a>, <a href="https://publications.waset.org/abstracts/search?q=G-L-Lquadrature" title=" G-L-Lquadrature"> G-L-Lquadrature</a>, <a href="https://publications.waset.org/abstracts/search?q=decoupled%20SBFEM" title=" decoupled SBFEM"> decoupled SBFEM</a> </p> <a href="https://publications.waset.org/abstracts/20245/a-modified-decoupled-semi-analytical-approach-based-on-sbfem-for-solving-2d-elastodynamic-problems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20245.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">444</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">73</span> Three Dimensional Flexible Dynamics of Continuous Cislunar Payloads Transfer System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Y.%20Yang">Y. Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Dian%20Ming%20Xing"> Dian Ming Xing</a>, <a href="https://publications.waset.org/abstracts/search?q=Qiu%20Hua%20Du"> Qiu Hua Du</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Based on the Motorized Momentum Exchange Tether (MMET), with the principle of momentum exchange, the three dimension flexible dynamics of continuous cislunar payloads transferring system (CCPTS) is built by Lagrange method and its numerical solution is solved by Mathematica software. In the derivation precession of potential energy, this paper uses the Tylor expansion method to simplify the Lagrange equation. Furthermore, the tension coming from the centripetal load is considered in the elastic potential energy. The comparison simulation results between the 3D rigid model and 3D flexible model of CCPTS shows that the tether flexibility has important influence on CCPTS’s orbital parameters (such as radius of CCPTS’s COM and the true anomaly) and the tether’s rotational movement, the relative deviation of radius and the true anomaly between the two dynamic models is about 0.00678% and 0.00259%, the relative deviation of the angle of tether-span and local gravity gradient is about 3.55%. Additionally, the external torque has an apparent influence on the tether’s axial vibration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cislunar%20transfer" title="cislunar transfer">cislunar transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamics" title=" dynamics"> dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=momentum%20exchange" title=" momentum exchange"> momentum exchange</a>, <a href="https://publications.waset.org/abstracts/search?q=tether" title=" tether"> tether</a> </p> <a href="https://publications.waset.org/abstracts/65353/three-dimensional-flexible-dynamics-of-continuous-cislunar-payloads-transfer-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/65353.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">269</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">72</span> Impact of Facility Disruptions on Demand Allocation Strategies in Reliable Facility Location Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdulrahman%20R.%20Alenezi">Abdulrahman R. Alenezi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research investigates the effects of facility disruptions on-demand allocation within the context of the Reliable Facility Location Problem (RFLP). We explore two distinct scenarios: one where primary and backup facilities can fail simultaneously and another where such simultaneous failures are not possible. The RFLP model is tailored to reflect these scenarios, incorporating different approaches to transportation cost calculations. Utilizing a Lagrange relaxation method, the model achieves high efficiency, yielding an average optimality gap of 0.1% within 12.2 seconds of CPU time. Findings indicate that primary facilities are typically sited closer to demand points than backup facilities. In cases where simultaneous failures are prohibited, demand points are predominantly assigned to the nearest available facility. Conversely, in scenarios permitting simultaneous failures, demand allocation may prioritize factors beyond mere proximity, such as failure rates. This study highlights the critical influence of facility reliability on strategic location decisions, providing insights for enhancing resilience in supply chain networks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reliable%20supply%20chain%20network" title="reliable supply chain network">reliable supply chain network</a>, <a href="https://publications.waset.org/abstracts/search?q=facility%20location%20problem" title=" facility location problem"> facility location problem</a>, <a href="https://publications.waset.org/abstracts/search?q=reliable%20facility%20location%20model" title=" reliable facility location model"> reliable facility location model</a>, <a href="https://publications.waset.org/abstracts/search?q=LaGrange%20relaxation" title=" LaGrange relaxation"> LaGrange relaxation</a> </p> <a href="https://publications.waset.org/abstracts/192189/impact-of-facility-disruptions-on-demand-allocation-strategies-in-reliable-facility-location-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192189.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">26</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">71</span> Time/Temperature-Dependent Finite Element Model of Laminated Glass Beams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alena%20Zemanov%C3%A1">Alena Zemanová</a>, <a href="https://publications.waset.org/abstracts/search?q=Jan%20Zeman"> Jan Zeman</a>, <a href="https://publications.waset.org/abstracts/search?q=Michal%20%C5%A0ejnoha"> Michal Šejnoha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The polymer foil used for manufacturing of laminated glass members behaves in a viscoelastic manner with temperature dependence. This contribution aims at incorporating the time/temperature-dependent behavior of interlayer to our earlier elastic finite element model for laminated glass beams. The model is based on a refined beam theory: each layer behaves according to the finite-strain shear deformable formulation by Reissner and the adjacent layers are connected via the Lagrange multipliers ensuring the inter-layer compatibility of a laminated unit. The time/temperature-dependent behavior of the interlayer is accounted for by the generalized Maxwell model and by the time-temperature superposition principle due to the Williams, Landel, and Ferry. The resulting system is solved by the Newton method with consistent linearization and the viscoelastic response is determined incrementally by the exponential algorithm. By comparing the model predictions against available experimental data, we demonstrate that the proposed formulation is reliable and accurately reproduces the behavior of the laminated glass units. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite-strain%20Reissner%20model" title=" finite-strain Reissner model"> finite-strain Reissner model</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multipliers" title=" Lagrange multipliers"> Lagrange multipliers</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20Maxwell%20model" title=" generalized Maxwell model"> generalized Maxwell model</a>, <a href="https://publications.waset.org/abstracts/search?q=laminated%20glass" title=" laminated glass"> laminated glass</a>, <a href="https://publications.waset.org/abstracts/search?q=Newton%20method" title=" Newton method"> Newton method</a>, <a href="https://publications.waset.org/abstracts/search?q=Williams-Landel-Ferry%20equation" title=" Williams-Landel-Ferry equation"> Williams-Landel-Ferry equation</a> </p> <a href="https://publications.waset.org/abstracts/22985/timetemperature-dependent-finite-element-model-of-laminated-glass-beams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22985.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">431</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">70</span> Numerical Investigation of the Performance of a Vorsyl Separator Using a Euler-Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Guozhen%20Li">Guozhen Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Philip%20Hall"> Philip Hall</a>, <a href="https://publications.waset.org/abstracts/search?q=Nick%20Miles"> Nick Miles</a>, <a href="https://publications.waset.org/abstracts/search?q=Tao%20Wu"> Tao Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Jie%20Dong"> Jie Dong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a Euler-Lagrange model of the water-particles multiphase flows in a Vorsyl separator where particles with different densities are separated. A series of particles with their densities ranging from 760 kg/m<sup>3</sup> to 1380 kg/m<sup>3</sup> were fed into the Vorsyl separator with water by means of tangential inlet. The simulation showed that the feed materials acquired centrifugal force which allows most portion of the particles with a density less than water to move to the center of the separator, enter the vortex finder and leave the separator through the bottom outlet. While the particles heavier than water move to the wall, reach the throat area and leave the separator through the side outlet. The particles were thus separated and particles collected at the bottom outlet are pure and clean. The influence of particle density on separation efficiency was investigated which demonstrated a positive correlation of the separation efficiency with increasing density difference between medium liquid and the particle. In addition, the influence of the split ratio on the performance was studied which showed that the separation efficiency of the Vorsyl separator can be improved by the increase of split ratio. The simulation also suggested that the Vorsyl separator may not function when the feeding velocity is smaller than a certain critical feeding in velocity. In addition, an increasing feeding velocity gives rise to increased pressure drop, however does not necessarily increase the separation efficiency. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vorsyl%20separator" title="Vorsyl separator">Vorsyl separator</a>, <a href="https://publications.waset.org/abstracts/search?q=separation%20efficiency" title=" separation efficiency"> separation efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=CFD" title=" CFD"> CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=split%20ratio" title=" split ratio"> split ratio</a> </p> <a href="https://publications.waset.org/abstracts/49223/numerical-investigation-of-the-performance-of-a-vorsyl-separator-using-a-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/49223.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">350</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">69</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">68</span> Transformations between Bivariate Polynomial Bases</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dimitris%20Varsamis">Dimitris Varsamis</a>, <a href="https://publications.waset.org/abstracts/search?q=Nicholas%20Karampetakis"> Nicholas Karampetakis</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It is well known that any interpolating polynomial P(x,y) on the vector space Pn,m of two-variable polynomials with degree less than n in terms of x and less than m in terms of y has various representations that depends on the basis of Pn,m that we select i.e. monomial, Newton and Lagrange basis etc. The aim of this paper is twofold: a) to present transformations between the coordinates of the polynomial P(x,y) in the aforementioned basis and b) to present transformations between these bases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bivariate%20interpolation%20polynomial" title="bivariate interpolation polynomial">bivariate interpolation polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=polynomial%20basis" title=" polynomial basis"> polynomial basis</a>, <a href="https://publications.waset.org/abstracts/search?q=transformations" title=" transformations"> transformations</a>, <a href="https://publications.waset.org/abstracts/search?q=interpolating%20polynomial" title=" interpolating polynomial"> interpolating polynomial</a> </p> <a href="https://publications.waset.org/abstracts/14542/transformations-between-bivariate-polynomial-bases" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14542.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">405</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">67</span> Design and Development of an Optimal Fault Tolerant 3 Degree of Freedom Robotic Manipulator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramish">Ramish</a>, <a href="https://publications.waset.org/abstracts/search?q=Farhan%20%20Khalique%20Awan"> Farhan Khalique Awan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Kinematic redundancy within the manipulators presents extended dexterity and manipulability to the manipulators. Redundant serial robotic manipulators are very popular in industries due to its competencies to keep away from singularities during normal operation and fault tolerance because of failure of one or more joints. Such fault tolerant manipulators are extraordinarily beneficial in applications where human interference for repair and overhaul is both impossible or tough; like in case of robotic arms for space programs, nuclear applications and so on. The design of this sort of fault tolerant serial 3 DoF manipulator is presented in this paper. This work was the extension of the author’s previous work of designing the simple 3R serial manipulator. This work is the realization of the previous design with optimizing the link lengths for incorporating the feature of fault tolerance. Various measures have been followed by the researchers to quantify the fault tolerance of such redundant manipulators. The fault tolerance in this work has been described in terms of the worst-case measure of relative manipulability that is, in fact, a local measure of optimization that works properly for certain configuration of the manipulators. An optimum fault tolerant Jacobian matrix has been determined first based on prescribed null space properties after which the link parameters have been described to meet the given Jacobian matrix. A solid model of the manipulator was then developed to realize the mathematically rigorous design. Further work was executed on determining the dynamic properties of the fault tolerant design and simulations of the movement for various trajectories have been carried out to evaluate the joint torques. The mathematical model of the system was derived via the Euler-Lagrange approach after which the same has been tested using the RoboAnalyzer© software. The results have been quite in agreement. From the CAD model and dynamic simulation data, the manipulator was fabricated in the workshop and Advanced Machining lab of NED University of Engineering and Technology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fault%20tolerant" title="fault tolerant">fault tolerant</a>, <a href="https://publications.waset.org/abstracts/search?q=Graham%20matrix" title=" Graham matrix"> Graham matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobian" title=" Jacobian"> Jacobian</a>, <a href="https://publications.waset.org/abstracts/search?q=kinematics" title=" kinematics"> kinematics</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange-Euler" title=" Lagrange-Euler"> Lagrange-Euler</a> </p> <a href="https://publications.waset.org/abstracts/79710/design-and-development-of-an-optimal-fault-tolerant-3-degree-of-freedom-robotic-manipulator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79710.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">222</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">66</span> Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20W.%20Gbolagade">A. W. Gbolagade</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20O.%20Olayiwola"> M. O. Olayiwola</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20O.%20Kareem"> K. O. Kareem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, further to our result on recent paper on the solution of nonlinear advection equations, we present further results on the nonlinear nonhomogeneous advection equations using a modified variational iteration method. <p class="card-text"><strong>Keywords:</strong> <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=non-homogeneous%20equations" title=" non-homogeneous equations"> non-homogeneous equations</a>, <a href="https://publications.waset.org/abstracts/search?q=advection%20equations" title=" advection equations"> advection equations</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematics" title=" mathematics"> mathematics</a> </p> <a href="https://publications.waset.org/abstracts/3945/further-results-on-modified-variational-iteration-method-for-the-analytical-solution-of-nonlinear-advection-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3945.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">301</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">65</span> An Inquiry on 2-Mass and Wheeled Mobile Robot Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boguslaw%20Schreyer">Boguslaw Schreyer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a general dynamical model is derived using the Lagrange formalism. The two masses: sprang and unsprang are included in a six-degree of freedom model for a sprung mass. The unsprung mass is included and shown only in a simplified model, although its equations have also been derived by an author. The simplified equations, more suitable for the computer model of robot’s dynamics are also shown. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamics" title="dynamics">dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=mobile" title=" mobile"> mobile</a>, <a href="https://publications.waset.org/abstracts/search?q=robot" title=" robot"> robot</a>, <a href="https://publications.waset.org/abstracts/search?q=wheeled%20mobile%20robots" title=" wheeled mobile robots"> wheeled mobile robots</a> </p> <a href="https://publications.waset.org/abstracts/48065/an-inquiry-on-2-mass-and-wheeled-mobile-robot-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48065.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">336</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">64</span> Improving Ride Comfort of a Bus Using Fuzzy Logic Controlled Suspension</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mujde%20Turkkan">Mujde Turkkan</a>, <a href="https://publications.waset.org/abstracts/search?q=Nurkan%20Yagiz"> Nurkan Yagiz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study an active controller is presented for vibration suppression of a full-bus model. The bus is modelled having seven degrees of freedom. Using the achieved model via Lagrange Equations the system equations of motion are derived. The suspensions of the bus model include air springs with two auxiliary chambers are used. Fuzzy logic controller is used to improve the ride comfort. The numerical results, verifies that the presented fuzzy logic controller improves the ride comfort. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ride%20comfort" title="ride comfort">ride comfort</a>, <a href="https://publications.waset.org/abstracts/search?q=air%20spring" title=" air spring"> air spring</a>, <a href="https://publications.waset.org/abstracts/search?q=bus" title=" bus"> bus</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20logic%20controller" title=" fuzzy logic controller"> fuzzy logic controller</a> </p> <a href="https://publications.waset.org/abstracts/3740/improving-ride-comfort-of-a-bus-using-fuzzy-logic-controlled-suspension" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3740.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">430</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">63</span> Numerical Solutions of Generalized Burger-Fisher Equation by Modified Variational Iteration Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20O.%20Olayiwola">M. O. Olayiwola</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerical solutions of the generalized Burger-Fisher are obtained using a Modified Variational Iteration Method (MVIM) with minimal computational efforts. The computed results with this technique have been compared with other results. The present method is seen to be a very reliable alternative method to some existing techniques for such nonlinear problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=burger-fisher" title="burger-fisher">burger-fisher</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20variational%20iteration%20method" title=" modified variational iteration method"> modified variational iteration method</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=Taylor%E2%80%99s%20series" title=" Taylor’s series"> Taylor’s series</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20differential%20equation" title=" partial differential equation"> partial differential equation</a> </p> <a href="https://publications.waset.org/abstracts/3943/numerical-solutions-of-generalized-burger-fisher-equation-by-modified-variational-iteration-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3943.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">430</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">62</span> Sliding Mode Control of a Bus Suspension System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mujde%20Turkkan">Mujde Turkkan</a>, <a href="https://publications.waset.org/abstracts/search?q=Nurkan%20Yagiz"> Nurkan Yagiz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The vibrations, caused by the irregularities of the road surface, are to be suppressed via suspension systems. In this paper, sliding mode control for a half bus model with air suspension system is presented. The bus is modelled as five degrees of freedom (DoF) system. The mathematical model of the half bus is developed using Lagrange Equations. For time domain analysis, the bus model is assumed to travel at certain speed over the bump road. The numerical results of the analysis indicate that the sliding mode controllers can be effectively used to suppress the vibrations and to improve the ride comfort of the busses. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=active%20suspension%20system" title="active suspension system">active suspension system</a>, <a href="https://publications.waset.org/abstracts/search?q=air%20suspension" title=" air suspension"> air suspension</a>, <a href="https://publications.waset.org/abstracts/search?q=bus%20model" title=" bus model"> bus model</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20mode%20control" title=" sliding mode control"> sliding mode control</a> </p> <a href="https://publications.waset.org/abstracts/51152/sliding-mode-control-of-a-bus-suspension-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51152.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">388</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">61</span> Response of a Bridge Crane during an Earthquake</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=F.%20Fekak">F. Fekak</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Gravouil"> A. Gravouil</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Brun"> M. Brun</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Depale"> B. Depale</a> </p> <p class="card-text"><strong>Abstract:</strong></p> During an earthquake, a bridge crane may be subjected to multiple impacts between crane wheels and rail. In order to model such phenomena, a time-history dynamic analysis with a multi-scale approach is performed. The high frequency aspect of the impacts between wheels and rails is taken into account by a Lagrange explicit event-capturing algorithm based on a velocity-impulse formulation to resolve contacts and impacts. An implicit temporal scheme is used for the rest of the structure. The numerical coupling between the implicit and the explicit schemes is achieved with a heterogeneous asynchronous time-integrator. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bridge%20crane" title="bridge crane">bridge crane</a>, <a href="https://publications.waset.org/abstracts/search?q=earthquake" title=" earthquake"> earthquake</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=explicit" title=" explicit"> explicit</a>, <a href="https://publications.waset.org/abstracts/search?q=implicit" title=" implicit"> implicit</a>, <a href="https://publications.waset.org/abstracts/search?q=impact" title=" impact"> impact</a> </p> <a href="https://publications.waset.org/abstracts/41920/response-of-a-bridge-crane-during-an-earthquake" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41920.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">304</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">60</span> Variation in Orbital Elements of Mars and Jupiter Due to the Sun Oblateness by Using Secular Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Avaneesh%20Vaishwar">Avaneesh Vaishwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Badam%20Singh%20Kushvah"> Badam Singh Kushvah</a>, <a href="https://publications.waset.org/abstracts/search?q=Devi%20Prasad%20Mishra"> Devi Prasad Mishra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We studied the variation in orbital elements of Mars and Jupiter for a time span of 200 thousand years by using secular theory. Here we took Sun oblateness into account and considered the first two zonal gravity constants (J2 and J4) for showing the effect of Sun oblateness on the orbital elements of Mars and Jupiter. We found that in both cases (with and without Sun oblateness) the variation in orbital elements of Mars and Jupiter is periodic moreover in case of the Sun oblateness, the period of variation in orbital elements is decreasing for both the planets. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lagrange%27s%20planetary%20equation" title="lagrange's planetary equation">lagrange's planetary equation</a>, <a href="https://publications.waset.org/abstracts/search?q=orbital%20elements" title=" orbital elements"> orbital elements</a>, <a href="https://publications.waset.org/abstracts/search?q=planetary%20system" title=" planetary system"> planetary system</a>, <a href="https://publications.waset.org/abstracts/search?q=secular%20theory" title=" secular theory"> secular theory</a> </p> <a href="https://publications.waset.org/abstracts/83157/variation-in-orbital-elements-of-mars-and-jupiter-due-to-the-sun-oblateness-by-using-secular-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83157.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">226</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">59</span> The Finite Element Method for Nonlinear Fredholm Integral Equation of the Second Kind</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Melusi%20Khumalo">Melusi Khumalo</a>, <a href="https://publications.waset.org/abstracts/search?q=Anastacia%20Dlamini"> Anastacia Dlamini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider a numerical solution for nonlinear Fredholm integral equations of the second kind. We work with uniform mesh and use the Lagrange polynomials together with the Galerkin finite element method, where the weight function is chosen in such a way that it takes the form of the approximate solution but with arbitrary coefficients. We implement the finite element method to the nonlinear Fredholm integral equations of the second kind. We consider the error analysis of the method. Furthermore, we look at a specific example to illustrate the implementation of the finite element method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=Galerkin%20approach" title=" Galerkin approach"> Galerkin approach</a>, <a href="https://publications.waset.org/abstracts/search?q=Fredholm%20integral%20equations" title=" Fredholm integral equations"> Fredholm integral equations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20integral%20equations" title=" nonlinear integral equations"> nonlinear integral equations</a> </p> <a href="https://publications.waset.org/abstracts/140832/the-finite-element-method-for-nonlinear-fredholm-integral-equation-of-the-second-kind" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/140832.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">376</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">58</span> An Eigen-Approach for Estimating the Direction-of Arrival of Unknown Number of Signals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dia%20I.%20Abu-Al-Nadi">Dia I. Abu-Al-Nadi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20J.%20Mismar"> M. J. Mismar</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20H.%20Ismail"> T. H. Ismail</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A technique for estimating the direction-of-arrival (DOA) of unknown number of source signals is presented using the eigen-approach. The eigenvector corresponding to the minimum eigenvalue of the autocorrelation matrix yields the minimum output power of the array. Also, the array polynomial with this eigenvector possesses roots on the unit circle. Therefore, the pseudo-spectrum is found by perturbing the phases of the roots one by one and calculating the corresponding array output power. The results indicate that the DOAs and the number of source signals are estimated accurately in the presence of a wide range of input noise levels. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=array%20signal%20processing" title="array signal processing">array signal processing</a>, <a href="https://publications.waset.org/abstracts/search?q=direction-of-arrival" title=" direction-of-arrival"> direction-of-arrival</a>, <a href="https://publications.waset.org/abstracts/search?q=antenna%20arrays" title=" antenna arrays"> antenna arrays</a>, <a href="https://publications.waset.org/abstracts/search?q=Eigenvalues" title=" Eigenvalues"> Eigenvalues</a>, <a href="https://publications.waset.org/abstracts/search?q=Eigenvectors" title=" Eigenvectors"> Eigenvectors</a>, <a href="https://publications.waset.org/abstracts/search?q=Lagrange%20multiplier" title=" Lagrange multiplier"> Lagrange multiplier</a> </p> <a href="https://publications.waset.org/abstracts/50693/an-eigen-approach-for-estimating-the-direction-of-arrival-of-unknown-number-of-signals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50693.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">334</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">57</span> New Coordinate System for Countries with Big Territories</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Sabri%20Ali%20Akresh">Mohammed Sabri Ali Akresh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The modern technologies and developments in computer and Global Positioning System (GPS) as well as Geographic Information System (GIS) and total station TS. This paper presents a new proposal for coordinates system by a harmonic equations “United projections”, which have five projections (Mercator, Lambert, Russell, Lagrange, and compound of projection) in one zone coordinate system width 14 degrees, also it has one degree for overlap between zones, as well as two standards parallels for zone from 10 S to 45 S. Also this paper presents two cases; first case is to compare distances between a new coordinate system and UTM, second case creating local coordinate system for the city of Sydney to measure the distances directly from rectangular coordinates using projection of Mercator, Lambert and UTM. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=harmonic%20equations" title="harmonic equations">harmonic equations</a>, <a href="https://publications.waset.org/abstracts/search?q=coordinate%20system" title=" coordinate system"> coordinate system</a>, <a href="https://publications.waset.org/abstracts/search?q=projections" title=" projections"> projections</a>, <a href="https://publications.waset.org/abstracts/search?q=algorithms" title=" algorithms"> algorithms</a>, <a href="https://publications.waset.org/abstracts/search?q=parallels" title=" parallels"> parallels</a> </p> <a href="https://publications.waset.org/abstracts/6986/new-coordinate-system-for-countries-with-big-territories" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6986.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">472</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">56</span> Generalization of Blom Key Predistribution Scheme</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abbas%20Cheraghi">Abbas Cheraghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A key predistribution scheme provides one method to distribute secret ahead of time. Blom’s scheme is a symmetric threshold key exchange protocol in cryptography. The scheme was proposed by the Swedish cryptographer Rolf Blom. In this kind of scheme, trusted authority gives each user a secret key and a public identifier, which enables any two users to create independently a shared key for communicating between each other. However, if an attacker can compromise the keys of at least Known numbers of users, he can break the scheme and reconstruct every shared key. In this paper generalized Blom’s Scheme by multivariate Lagrange interpolation formula. This scheme is a form of threshold secret sharing scheme. In this new scheme, the amount of information transmitted by the trusted authority is independent of the numbers of users. In addition, this scheme is unconditionally secure against any individual user. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=key%20predistribution" title="key predistribution">key predistribution</a>, <a href="https://publications.waset.org/abstracts/search?q=blom%E2%80%99s%20scheme" title=" blom’s scheme"> blom’s scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=secret%20sharing" title=" secret sharing"> secret sharing</a>, <a href="https://publications.waset.org/abstracts/search?q=unconditional%20secure" title=" unconditional secure"> unconditional secure</a> </p> <a href="https://publications.waset.org/abstracts/39358/generalization-of-blom-key-predistribution-scheme" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39358.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">437</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">55</span> Welfare Dynamics and Food Prices' Changes: Evidence from Landholding Groups in Rural Pakistan</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lubna%20Naz">Lubna Naz</a>, <a href="https://publications.waset.org/abstracts/search?q=Munir%20Ahmad"> Munir Ahmad</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20M.%20Arif"> G. M. Arif</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study analyzes static and dynamic welfare impacts of food price changes for various landholding groups in Pakistan. The study uses three classifications of land ownership, landless, small landowners and large landowners, for analysis. The study uses Panel Survey, Pakistan Rural Household Survey (PRHS) of Pakistan Institute of Development Economics Islamabad, of rural households from two largest provinces (Sindh and Punjab) of Pakistan. The study uses all three waves (2001, 2004 and 2010) of PRHS. This research work makes three important contributions in literature. First, this study uses Quadratic Almost Ideal Demand System (QUAIDS) to estimate demand functions for eight food groups-cereals, meat, milk and milk products, vegetables, cooking oil, pulses and other food. The study estimates food demand functions with Nonlinear Seemingly Unrelated (NLSUR), and employs Lagrange Multiplier and test on the coefficient of squared expenditure term to determine inclusion of squared expenditure term. Test results support the inclusion of squared expenditure term in the food demand model for each of landholding groups (landless, small landowners and large landowners). This study tests for endogeneity and uses control function for its correction. The problem of observed zero expenditure is dealt with a two-step procedure. Second, it creates low price and high price periods, based on literature review. It uses elasticity coefficients from QUAIDS to analyze static and dynamic welfare effects (first and second order Tylor approximation of expenditure function is used) of food price changes across periods. The study estimates compensation variation (CV), money metric loss from food price changes, for landless, small and large landowners. Third, this study compares the findings on welfare implications of food price changes based on QUAIDS with the earlier research in Pakistan, which used other specification of the demand system. The findings indicate that dynamic welfare impacts of food price changes are lower as compared to static welfare impacts for all landholding groups. The static and dynamic welfare impacts of food price changes are highest for landless. The study suggests that government should extend social security nets to landless poor and categorically to vulnerable landless (without livestock) to redress the short-term impact of food price increase. In addition, the government should stabilize food prices and particularly cereal prices in the long- run. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=QUAIDS" title="QUAIDS">QUAIDS</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=NLSUR" title=" NLSUR"> NLSUR</a>, <a href="https://publications.waset.org/abstracts/search?q=and%20Tylor%20approximation" title=" and Tylor approximation"> and Tylor approximation</a> </p> <a href="https://publications.waset.org/abstracts/46116/welfare-dynamics-and-food-prices-changes-evidence-from-landholding-groups-in-rural-pakistan" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46116.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right 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