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contributor authorC. M. Leech
date accessioned2017-05-08T23:52:32Z
date available2017-05-08T23:52:32Z
date copyrightSeptember, 1997
date issued1997
identifier issn0021-8936
identifier otherJAMCAV-26419#658_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/118178
description abstractThe Hamilton-Jacobi partial differential equation is established for continuum systems; to do this a new concept in material distributions is introduced. The Lagrangian and Hamiltonian are developed, so that the Hamilton-Jacobi equation can be formulated and the principal function defined. Finally the principal function is constructed for the dynamics of a one-dimensional linear elastic bar; the solution for its’ vibrations is then established following the differentiation of the principal function.
publisherThe American Society of Mechanical Engineers (ASME)
titleThe Hamilton-Jacobi Equation Applied to Continuum
typeJournal Paper
journal volume64
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.2788943
journal fristpage658
journal lastpage663
identifier eissn1528-9036
keywordsHamilton-Jacobi equations
keywordsVibration
keywordsPartial differential equations AND Dynamics (Mechanics)
treeJournal of Applied Mechanics:;1997:;volume( 064 ):;issue: 003
contenttypeFulltext


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