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17 articles for “Lagrange Equation”
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Research ArticleOpen accessPhrase in the titleq-Euler Lagrange EquationAmna Hasan, Hakeem A. Othman, Sami H. AltoumIn this work, for q ∈ (0, 1), the q-deformation of Euler- Lagrange equation is studied; we use q-derivative (or Jackson derivative) to deduce a new formula of Euler- Lagrange equation. Some examples are presented. …American Journal of Applied Sciences, Vol. 16, Issue 9 · 22 Nov 2019 · 7,761 accessesView PDFCite
Research ArticleOpen accessIn the keywordsLagrange II Dynamics and that of Forces Exemplified on a Basic Robot, 2 DoFRelly Victoria Virgil PetrescuThe paper presents two dynamic methods applied to a basic articulated robot, 2 DoF, the first being an original adaptation of the type II Lagrange equations and the second being a dynamic method based on the influence of the forces in the robot mechanism. Both methods are original, as they were designed and applied by the author to a 2 … …American Journal of Engineering and Applied Sciences, Vol. 16, Issue 2 · 26 Jul 2023 · 5,758 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDynamics of Mechanisms with Cams Illustrated in the Classical DistributionRelly Victoria Virgil Petrescu, Raffaella Aversa, Bilal Akash et al.The paper presents an original method to determine the general dynamics of rotating cam and lifting, customized to flat-plate mechanism. First, the dynamic cinematic is presented. Then the Lagrange equation is resolved and with an original dynamic model with a degree of freedom with variable internal damping the dynamic analysis of two models is then made. The mechanisms presented, scientifically … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 2 · 5 Jun 2017 · 8,497 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Analysis of a prismatic Beam Made of Physical Nonlinear Material under Concentrated and Distributed Continuous Moving LoadsEsfandiar MardaniIt is assumed that a beam made of material has a physical nonlinear behavior. This beam is analyzed under the moving concentrated and distributed continuous loads. The vibration equations of motion are derived from the Hamilton’s Principle and Euler-Lagrange Equation. In this study, the amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam has been calculated. … …American Journal of Applied Sciences, Vol. 6, Issue 2 · 28 Feb 2009 · 7,373 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAnalysis of a Beam Made of Physical Nonlinear Material on Nonlinear Elastic Foundation under a Moving Concentrated LoadE. MardaniA prismatic beam made of a behaviorally nonlinear material was analyzed under a concentrated load moving with a known velocity on a nonlinear elastic foundation with a reaction [ qe = -K1W(1+ K2W2)]. the vibration equation of motion was derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 6,875 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApproximate Analytical Solutions For Time-Dependent Emden-Fowler-Type Equations By Variational Iteration MethodKhaled BatihaThe main objective of the current study was to solve the time-dependent Emden-Fowler-type equation with singular behavior. The technique used here was called the variational iteration method (VIM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid … …American Journal of Applied Sciences, Vol. 4, Issue 7 · 31 Jul 2007 · 6,594 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,347 accessesView PDFCite
Research ArticleOpen accessIn the abstractPhysical and Geometrical Effects on the Vibratory Pattern of a Pipe Carrying Fluid FlowDahmane Mouloud, Samir Zahaf, Mawhoub Soubih et al.In this research, the first natural frequencies and critical velocities of a fluid flow-conveying pipe are obtained with finite element method. By discretizing the structure wall and fluid flow, starting from beam type with two degrees of freedom per node. We determine the equation of motion from the fluid-structure coupling using Lagrange energy principle. Parameters frequencies and critical velocity of … …Current Research in Bioinformatics, Vol. 9, Issue 1 · 22 Oct 2020 · 11,399 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Study of Post-Buckling of Clamped-Pinned Pipe Carrying Fluid Under Different ParametersDahmane Mouloud, Samir Zahaf, Mawhoub Soubih et al.This research aims to calculate the first three natural frequencies and critical velocity of a fluid-conveying pipe are obtained with numerical approach with standard finite element method and this by discretizing the structure wall and internal flow, starting from beam type with two degrees of freedom per node. The determination is done to the vibrational equation from the fluid-structure coupling … …Current Research in Bioinformatics, Vol. 9, Issue 1 · 21 Sep 2020 · 12,084 accessesView PDFCite
Research ArticleOpen accessIn the abstractDiscovery of an Equilibrium Circle in the Circular Restricted Three Body ProblemFawzy A. Abd El-SalamProblem statement: A traial to find equilibrium points in out of plane of the restricted three body problem. Approach: Solution of the equations of motion at equilibrium points. Linearizing the equations of motion and computing the eigen values to investigate the stability. Results: New triangular equilibrium points in plane perpendicular to the plane of motion and passing through Lagrange triangular … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 16 Jul 2012 · 7,364 accessesView PDFCite