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Free Vibration Analysis of Anisotropic Right Triangular Plates

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タイトル: Free Vibration Analysis of Anisotropic Right Triangular Plates
その他のタイトル: 異方性直角三角形板の自由振動問題の一解析法
著者: Huang, Mei / Sakiyama, Takeshi / Matsuda, Hiroshi / Morita, Chihiro
著者(別表記) : 黄, 美 / 崎山, 毅 / 松田, 浩 / 森田, 千尋
発行日: 2001年
出版者: 土木学会
引用: 応用力学論文集 Vol.4, pp.171-181, 2001
抄録: An approximate method is used for analyzing the free vibration problem of isotropic and anisotropic right triangular plates with various aspect-ratios and variable thickness.In this paper, a right triangular plate is considered as a kind of equivalent rectangular plate with point supports. Therefore, the free vibration characteristics of any triangular plate can be obtained by analyzing the equivalent rectangular plate. The differential equations of the equivalent rectangular plate with point supports are established based on the first-order shear deformation theory. By transforming the differential equations into integral equations and using numerical integration, the solutions of the partial differential equation can be obtained in discrete form. The Green function, which is the discrete solution for the deflection, is introduced to obtain the characteristic equation of the free vibration. Frequencies and mode shapes are shown for some triangular plates with various aspect-ratio and variable thickness. The effects of boundary conditions and the fibre orientation on the frequency parameters are considered. The efficiency and accuracy of the numerical solutions by the present method are investigated.
キーワード: approximate method / triangular plate / point support / equivalent rectangular plate / Green function / vibration
URI: http://hdl.handle.net/10069/16407
ISSN: 13459139
資料タイプ: Journal Article
出現コレクション:060 学術雑誌論文

引用URI : http://hdl.handle.net/10069/16407



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