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contributor authorDas, Tuhin
date accessioned2024-04-24T22:31:38Z
date available2024-04-24T22:31:38Z
date copyright3/29/2024 12:00:00 AM
date issued2024
identifier issn0021-8936
identifier otherjam_91_6_061011.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4295383
description abstractThis paper develops a theoretical basis and a systematic process for resolving all inertia forces along generalized coordinates from the overall energy equation of a dynamical system. The theory is developed for natural systems with scleronomic constraints, where the potential energy is independent of generalized velocities. The process involves expansion of the energy equation, and specifically a special expansion of the kinetic energy term, from which the inertia forces emerge. The expansion uses fundamental kinematic identities of the phase space. It is also guided by insights drawn from the structure of the Hamiltonian function. The resulting equation has the structure of the D’Alembert’s equation but involving generalized coordinates, from which the Lagrange’s equations of motion are obtained. The expansion process elucidates how certain inertia forces manifest in the energy equation as composite terms that must be accurately resolved along different generalized coordinates. The process uses only the system energy equation, and neither the Hamiltonian nor the Lagrangian function are required. Extension of this theory to non-autonomous and non-holonomic systems is an area of future research.
publisherThe American Society of Mechanical Engineers (ASME)
titleResolving Absorbed Work and Generalized Inertia Forces From System Energy Equation—A Hamiltonian and Phase-Space Kinematics Approach
typeJournal Paper
journal volume91
journal issue6
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.4065056
journal fristpage61011-1
journal lastpage61011-10
page10
treeJournal of Applied Mechanics:;2024:;volume( 091 ):;issue: 006
contenttypeFulltext


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