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Hamilton’s Principle for Circuits with Dissipative Elements [PDF]
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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On the coupling of Hamilton's principle and thermodynamic extremal principles [PDF]
Journal of the Mechanics and Physics of Solids, 2023 Extremal principles can generally be divided into two rather distinct classes. There are, on the one hand side, formulations based on the Lagrangian or Hamiltonian mechanics, respectively, dealing with time dependent problems, but essentially resting on conservation of energy and thus being not applicable to dissipative systems in a consistent way.
Klaus Hackl +2 more
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Extended framework of Hamilton’s principle for single-degree-of-freedom nonlinear damping systems
Journal of Low Frequency Noise, Vibration and Active Control, 2021 The paper explores application of the variational formalism called extended framework of Hamilton’s principle to nonlinear damping systems. Single-degree-of-freedom systems with dominant source of nonlinearity from polynomial powers of the velocity are ...
Jinkyu Kim
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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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Long-term stability of cylindrical shells of viscoelastic composites
Lietuvos Matematikos Rinkinys, 2002 On the grounds of Hamilton's principle the system of linear integral equations has been obtained for the solution of stability problems of cylindrical shells made of viscoelastic composite materials by the finite element method.
Vaclovas Sirius
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Fluids, 2022 Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality.
Constantinos P. Mavroeidis +1 more
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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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A model of integral quantum [PDF]
AIP AdvancesThe author thinks that the existing quantum mechanics is incomplete in nature and that a new model of quantum needs to be created to resolve this problem of incompleteness.
Guangzhou Ge
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Construction of a functional by a given second-order Ito stochastic equation
Open Mathematics, 2023 In this article, we consider the problem of extending Hamilton’s principle to the class of natural mechanical systems with random perturbing forces of white noise type.
Tleubergenov Marat +2 more
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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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