Results 11 to 20 of about 2,154 (279)
Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics [PDF]
EntropyThe common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
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An expansion term in Hamilton's equations [PDF]
Europhysics Letters (EPL), 1999 For any given spacetime the choice of time coordinate is undetermined. A particular choice is the absolute time associated with a preferred vector field. Using the absolute time Hamilton's equations are $- (δH_{c})/(δq)=\dotπ+Θπ, $+ (δH_{c})/(δπ)=\dot{q}$, where $Θ= V^{a}_{.;a}$ is the expansion of the vector field.
M. D Roberts, M. D. Roberts
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Exact solution for frequency equations of radial and transverse vibration of a circular plate with various boundary conditions [PDF]
مجله مدل سازی در مهندسی, 2017 In this study, closed-form relations are obtained for the frequency equations of radial (in-plane) and transverse (out-ofâplane) free vibration of a circular plate with free, simply-support, and clamped boundary conditions.
Mohammad Heidari-Rarani +2 more
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Derivation of Equations for Flexible Multibody Systems in Terms of Quasi-Coordinates from the Extended Hamilton’s Principle [PDF]
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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What is liquid? Lyapunov instability reveals symmetry-breaking irreversibilities hidden within Hamilton's many-body equations of motion [PDF]
Condensed Matter Physics, 2015 Typical Hamiltonian liquids display exponential "Lyapunov instability", also called "sensitive dependence on initial conditions". Although Hamilton's equations are thoroughly time-reversible, the forward and backward Lyapunov instabilities can differ ...
Wm.G. Hoover, C.G. Hoover
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass.
Sara Cruz y Cruz, Oscar Rosas-Ortiz
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Mathematics, 2023 Because of the nonlocal and nonsingular properties of fractional derivatives, they are more suitable for modelling complex processes than integer derivatives.
Linli Wang, Jingli Fu, Liangliang Li
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Hamilton–Jacobi Equations [PDF]
, 2021 Hamilton–Jacobi equations are treated in the fifth chapter. Hamilton–Jacobi equations, their solutions, and the case of a time independent Hamiltonian are first recalled. Thirteen exercises are then solved, namely on a third harmonic oscillator, on a free falling particle, on a projectile ballistic flight, on a particle sliding on an inclined plane, on
Stanley Osher, Ronald Fedkiw
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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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‘Uncertainty’ principle in two fluid–mechanics [PDF]
ESAIM: Proceedings and Surveys, 2020 Hamilton’s principle (or principle of stationary action) is one of the basic modelling tools in finite-degree-of-freedom mechanics. It states that the reversible motion of mechanical systems is completely determined by the corresponding Lagrangian which ...
Gavrilyuk Sergey
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