Results 11 to 20 of about 1,849 (261)
Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam ...
Zahra Tadi Beni +2 more
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Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics
Entropy, 2011 Within the thermodynamic framework with internal variables, the classical Hamilton’s principle for elastic bodies is extended to inelastic bodies composed of materials whose free energy densities are point functions of internal variables, or the so ...
Qiang Yang, Kuang-Dai Leng
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Molecules, 2020 A novel quasi-3D hyperbolic shear deformation theory (QHSDT) with five unknowns is here employed, together with the Hamilton’s principle and the modified couple stress theory (MCST) to analyze the vibrational behavior of rectangular micro-scale sandwich ...
Hossein Arshid +4 more
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Hamilton’s Principle for Circuits with Dissipative Elements
Complexity, 2019 The classic form of Hamilton’s variational principle does not hold for circuits with dissipative elements. It is shown in the paper that this may not be true in the case of systems consisting of the so-called higher-order elements.
Zdeněk Biolek +2 more
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Variational Integrators in Holonomic Mechanics
Mathematics, 2020 Variational integrators for dynamic systems with holonomic constraints are proposed based on Hamilton’s principle. The variational principle is discretized by approximating the generalized coordinates and Lagrange multipliers by Lagrange polynomials, by ...
Shumin Man, Qiang Gao, Wanxie Zhong
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Gyarmati’s Variational Principle of Dissipative Processes
Entropy, 2014 Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms
József Verhás
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Ambiguity resolution for integrable gravitational charges
Journal of High Energy Physics, 2022 Recently, Ciambelli, Leigh, and Pai (CLP) [ arXiv:2111.13181 ] have shown that nonzero charges integrating Hamilton’s equation can be defined for all diffeomorphisms acting near the boundary of a subregion in a gravitational theory.
Antony J. Speranza
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Shock and Vibration, 1993 Early derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages.
L. Meirovitch
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Three Models of a Sandwich Beam: Bending, Buckling, and Free Vibrations
Engineering Transactions, 2022 This paper is devoted to the analytical modelling of a sandwich beam. Three models of this beam are elaborated. Two nonlinear individual shear theories of deformation of a plane cross-sections are proposed. Based on Hamilton’s principle, two differential
Krzysztof MAGNUCKI +2 more
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Mathematical Fundamentals of Modern Linear Optics
International Journal of Antennas and Propagation, 2012 All known quantum-mechanical approaches to wave and statistical optics are united into a single theory, using Feynman's path integral as a fundamental principle.
Andrey V. Gitin
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