Results 21 to 30 of about 7,006 (279)
New Analytical Model Used in Finite Element Analysis of Solids Mechanics
Mathematics, 2020 In classical mechanics, determining the governing equations of motion using finite element analysis (FEA) of an elastic multibody system (MBS) leads to a system of second order differential equations.
Sorin Vlase +2 more
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Quantum Hamilton-Jacobi Equation [PDF]
Physical Review Letters, 1998 The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing ...
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Journal of High Energy Physics, 2019 We explore Carroll limit corresponding to M2 as well as M3 branes propagating over 11D supergravity backgrounds in M theory. In the first part of the analysis, we introduce the membrane Carroll limit associated to M2 branes propagating over M theory ...
Dibakar Roychowdhury
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On optimal periodic solution of differential equations
Journal of Kufa for Mathematics and Computer, 2018 this paper dedicated to the construction of solution of a three time scale periodic singular perturbed non-linear quadratic optimal control problem by using the direct method.
Methaq Hamza Geem
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Nonlinear Torsional Vibration Analysis of Nanorods in the Presence of Surface Energy Effect: Multi-Mode Galerkin Method [PDF]
Mechanics of Advanced Composite Structures, 2022 In this paper, the nonlinear torsional vibrations and internal resonances of nanorods are investigated by considering the surface energy effects. For this purpose, Hamilton’s principle is implemented to derive the nonlinear governing equation of motion ...
Reza Nazemnezhad, Sahar Farahmandrad
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Payload motion control for a varying length flexible gantry crane
Automatika, 2021 Cranes play a very important role in transporting heavy loads in various industries. However, because of its natural swinging characteristics, the control of crane needs to be considered carefully.
Tung Lam Nguyen +2 more
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Defence Technology, 2021 Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform temperature rising.
Maryam Lori Dehsaraji +2 more
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Hypercontractivity of Hamilton–Jacobi equations
Journal de Mathématiques Pures et Appliquées, 2001 Using the equivalence of logarithmic Sobolev inequalities and hypercontractivity of the associated heat semigroup proved by \textit{L. Gross} [Am. J. Math. 97(1975), 1061--1083 (1976; Zbl 0318.46049)], the authors show that logarithmic Sobolev inequalities are similarly related to hypercontractivity of the solutions of Hamilton-Jacobi equations.
Bobkov, Sergey G +2 more
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Geometric Approach to Lyapunov Analysis in Hamiltonian Dynamics [PDF]
, 2001 As is widely recognized in Lyapunov analysis, linearized Hamilton's equations of motion have two marginal directions for which the Lyapunov exponents vanish.
C. P. Ong +22 more
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Analytical mechanics methods in finite element analysis of multibody elastic system
Boundary Value Problems, 2023 The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics.
Maria Luminita Scutaru +2 more
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