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contributor authorK. V. Avramov
contributor authorK. V. Maksymenko-Sheyko
contributor authorO. Tyshkovets
date accessioned2017-05-09T00:41:45Z
date available2017-05-09T00:41:45Z
date copyrightOctober, 2010
date issued2010
identifier issn1048-9002
identifier otherJVACEK-28909#051001_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/145070
description abstractGeometrically nonlinear vibrations of circular plate with two cut-outs are simulated by the von Karman equations with respect to displacements. The combination of the Rayleigh–Ritz method and the R-function method, which allows satisfying all boundary conditions, is applied to obtain the vibration modes of the plate. The nonlinear vibrations are expanded using these vibrations modes. The dynamical system with three degrees of freedom is derived by Galerkin method. The influence of cut-outs size on linear and nonlinear vibrations of the plate is analyzed. For different parameters of cut-outs, different internal resonances occur in the plate. The nonlinear vibrations of the system for different internal resonances are analyzed by multiple scale method.
publisherThe American Society of Mechanical Engineers (ASME)
titleAnalysis of Nonlinear Free Vibration of Circular Plates With Cut-Outs Using R-Function Method
typeJournal Paper
journal volume132
journal issue5
journal titleJournal of Vibration and Acoustics
identifier doi10.1115/1.4001496
journal fristpage51001
identifier eissn1528-8927
treeJournal of Vibration and Acoustics:;2010:;volume( 132 ):;issue: 005
contenttypeFulltext


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