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Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation [PDF]
, 2012 Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic dynamics developed by D'Alembert, Langrange, Hamilton, Jacobi, and many other luminaries of applied mathematics.
Ge, Hao, Qian, Hong
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Basic Principles of Deformed Objects with Methods of Analytical Mechanics
Journal of Nonlinear Mathematical PhysicsAnalytical mechanics is the most fundamental discipline in this field. The basic principles of analytical mechanics should also be applicable to deformed objects.
Chun Xiang
exaly +2 more sources
On the Analytical Mechanics of Chemical Reactions. Quantum Mechanics of Linear Collisions [PDF]
, 1966 The analytical quantum mechanics of chemically reactive linear collisions is treated in the vibrationally near‐adiabatic approximation. The "reaction coordinate" in this approximation is found to be the curve on which the classical local vibrational and ...
Marcus, R. A.
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Analytical Mechanics Of Space Systems
, 2003 Analytical Mechanics of Space Systems, Third Edition provides a comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics.
Hanspeter Schaub, John L. Junkins
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A methodology for formulating dynamical equations in analytical mechanics based on the principle of energy conservation [PDF]
Journal of Physics Communications, 2021 In this work, a methodology is proposed for formulating general dynamical equations in mechanics under the umbrella of the principle of energy conservation.
Yinqiu Zhou, Xiuming Wang
semanticscholar +1 more source
Data-driven analytical mechanics of aging viscoelastic shotcrete tunnel shells
Acta Mechanica, 2022 Based on the principle of virtual power, equilibrium conditions are established for the forces within a cross section of a tunnel top heading driven according the New Austrian Tunneling Method (NATM).
Raphael Scharf +4 more
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Analytical mechanics allows novel vistas on mathematical epidemic dynamics modeling [PDF]
, 2020 This contribution aims to shed light on mathematical epidemic dynamics modelling from the viewpoint of analytical mechanics. To set the stage, it recasts the basic SIR model of mathematical epidemic dynamics in an analytical mechanics setting.
P. Steinmann
semanticscholar +1 more source