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contributor authorD. C. Chiang
contributor authorS. S. H. Chen
date accessioned2017-05-09T01:19:07Z
date available2017-05-09T01:19:07Z
date copyrightJune, 1972
date issued1972
identifier issn0021-8936
identifier otherJAMCAV-25961#577_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/158301
description abstractSimplified nonlinear governing differential equations proposed by Berger and extended by Nash and Modeer are applied to obtain natural frequencies of a circular plate with concentric rigid part at its center in large amplitude vibrations. A modified Galerkin technique is used to derive a nonlinear differential equation of which the solution is given in terms of elliptic functions. The small amplitude vibration is treated as a special case of large amplitude vibration, while the free, large amplitude vibration of a flat circular plate is studied as a special case of large amplitude vibration of a circular plate with a concentric mass. The numerical results show that the effect of added concentric rigid mass to a circular plate is significant.
publisherThe American Society of Mechanical Engineers (ASME)
titleLarge Amplitude Vibration of a Circular Plate With Concentric Rigid Mass
typeJournal Paper
journal volume39
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3422720
journal fristpage577
journal lastpage583
identifier eissn1528-9036
keywordsVibration
keywordsFrequency
keywordsFunctions
keywordsNonlinear differential equations AND Differential equations
treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 002
contenttypeFulltext


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