Results 1 to 10 of about 78 (68)
Nonpotentiality of a diffusion system and the construction of a semi-bounded functional [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The wide prevalence and the systematic variational principles are used in mathematics and applications due to a series of remarkable consequences among which the possibility to establish the existence of the solutions of the initial equations ...
V.M. Savchin, L.T. Huyen
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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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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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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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Nonlinear Engineering, 2023 Variational principles and variationally consistent boundary conditions are derived for a system of double Rayleigh beams undergoing vibrations and subject to axial loads. The elastic layer connecting the beams are modelled as a three-parameter nonlinear
Adali Sarp
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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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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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Crystals, 2022 This paper presents a novel non-classical Timoshenko–Ehrenfest beam model based on a reformulated strain gradient elasticity theory. The strain gradient effect, couple stress effect, and velocity gradient effect for vibration are included in the new ...
Shuohui Yin +4 more
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Vibrations of a Three-Layer Circular Step Plate under Periodic Impact
Механика машин, механизмов и материалов, 2022 Forced oscillations of a three-layer circular plate with step-variable thickness of the outer layers are analyzed. The deformation of the plate is described with the zig-zag theory. In thin border layers of plate Kirchhoff’s hypotheses are valid.
Denis V. Leonenko, Marina V. Markova
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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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