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contributor authorI. Y. Shen
date accessioned2017-05-08T23:40:31Z
date available2017-05-08T23:40:31Z
date copyrightJune, 1993
date issued1993
identifier issn0021-8936
identifier otherJAMCAV-26349#438_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111450
description abstractThe purpose of this paper is to determine approximate eigensolutions of a class of cracked mechanical systems governed by the two-dimensional Helmholtz equation through a perturbation approach. Shen (1993) shows that exact eigenvalues λm 2 , and their corresponding crack-opening shapes ΔΨ m of such mechanical systems satisfy a Fredholm integral equation A (λm 2 )ΔΨ m = 0. Following the integral equation approach, the approximation in this paper consists of formulating the Rayleigh quotient of the Fredholm operator A (λ2 ) and estimating eigenvalues μ(λ2 ) of the operator A (λ2 ) through perturbation and stationarity of the Rayleigh quotient. The zeros of μ(λ2 ) then approximate eigenvalues λm 2 of the cracked systems. Finally, approximate λm 2 are calculated for two-dimensional elastic solids under antiplane-strain vibration with an oblique internal crack and a boundary crack.
publisherThe American Society of Mechanical Engineers (ASME)
titlePerturbation Eigensolutions of Elastic Structures With Cracks
typeJournal Paper
journal volume60
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.2900812
journal fristpage438
journal lastpage442
identifier eissn1528-9036
keywordsFracture (Materials)
keywordsEigenvalues
keywordsEquations
keywordsFredholm integral equations
keywordsIntegral equations
keywordsShapes
keywordsVibration
keywordsApproximation AND Solids
treeJournal of Applied Mechanics:;1993:;volume( 060 ):;issue: 002
contenttypeFulltext


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