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Free Vibration Analysis of Simply Supported Orthotropic Square Plates with a Square Hole


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Title: Free Vibration Analysis of Simply Supported Orthotropic Square Plates with a Square Hole
Other Titles: 異方性有孔板の自由振動問題の一解析法
Authors: Huang, M. / Sakiyama, T. / Matsuda, H. / Morita, C. / Ma, S.Q.
Authors (alternative): 黄, 美 / 崎山, 毅 / 松田, 浩 / 森田, 千尋 / 馬, 秀琴
Issue Date: Oct-2002
Publisher: 土木学会
Citation: 応用力学論文集 Vol.5, pp.151-160, 2002
Abstract: An approximate method is extended for analyzing the free vibration problem of simply supported orthotropic square plate with a square hole. In this paper, a square plate with a square hole is transformed into an equivalent square plate with non-uniform thickness byconsidering the hole as an extremely thin part of the equivalent plate. Therefore,the dynamic characteristics of a plate with a hole can be obtained by analyzing the equivalent plate. The Green function, which is the discrete solution for the deflection of the equivalent plate, is used to obtain the characteristic equation of the free vibration.The effects of the side to thickness ratio, hole side to plate side ratio and the variation of the thickness on the frequencies are considered. Some numerical analyses are carried out for the simplysupp orted orthotropic square plate with a square hole. The efficiency and accuracyof the numerical solutions bythe present method are investigated.
Keywords: approximate method / square plate with a square hole / equivalent square plate / Green function / vibration
URI: http://hdl.handle.net/10069/16406
ISSN: 13459139
Type: Journal Article
Appears in Collections:Articles in academic journal

Citable URI : http://hdl.handle.net/10069/16406

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