Results 1 to 10 of about 1,849 (261)

Forced Friends: Why the Free Energy Principle Is Not the New Hamilton’s Principle [PDF]

Entropy
The claim that the free energy principle is somehow related to Hamilton’s principle in statistical mechanics is ubiquitous throughout the subject literature. However, the exact nature of this relationship remains unclear.
Bartosz Michał Radomski, Krzysztof Dołęga   +1 more
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A relativistic theory of the field II: Hamilton's principle and Bianchi's identities

Revista de Investigación de Física, 2021
As gravitation and electromagnetism are closely analogous long-range interactions, and the current formulation of gravitation is given in terms of geometry.
Mississippi Valenzuela
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Corrigendum: An Electromechanical Model of Neuronal Dynamics using Hamilton's Principle [PDF]

Frontiers in Cellular Neuroscience, 2015
Corina Stefania Drapaca
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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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Structural Analysis of Functionally Graded Material Using Sigmioadal and Power Law

Diagnostyka, 2021
The stress-strain relations, displacement distribution, stress resultants and mid plane strain resultants of a functionally graded material plate are studied using Hamilton’s principle.
Nabel Kadum Abd-Ali, Ahmed Raee Madeh
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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
doaj   +1 more source

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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A model of integral quantum [PDF]

AIP Advances
The 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, Vassilina Gulmira, Ismailova Shakhmira   +2 more
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Hamiltonian Variational Formulation of Three-Dimensional, Rotational Free-Surface Flows, with a Moving Seabed, in the Eulerian Description

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, Gerassimos A. Athanassoulis   +1 more
doaj   +1 more source