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タイトル: 多自由度系解析法による円板の非線形自由振動
その他のタイトル: A Multiple Degree-of-Freedom Approach to Nonlinear Free Vibrations of Circular Plates.
著者: 高橋, 和雄
著者(別表記) : Takahashi, Kazuo
発行日: 1974年12月
出版者: 長崎大学工学部 / Faculty of Engineering, Nagasaki University
引用: 長崎大学工学部研究報告, (5), pp.95-104; 1974
抄録: Nonlinear axi-symmetric vibrations of circular plates are investigated by using Karman's equations composed of terms of the stress function and the def1ection of the plate. A multiple degree of freedom approach which considers multiple modes and corresponding time functions is adopted to obtain more reliable solution than the previous solutions. The application of a Galerkin method to solve the governing nonlinear simultaneous partial differential equations yields nonlinear simultaneous ordinary differential equations, of which the solution is obtained by the harmonic balance method. The set of nonlinear algebraic equations is solved on the digital computer by the Newton-Raphson method. Numerical results are presented for simply supported or clamped plates whose edges are immovable or movable in the inplane direction and compared with the previous solution.
URI: http://hdl.handle.net/10069/23824
ISSN: 02860902
資料タイプ: Departmental Bulletin Paper
原稿種類: publisher

引用URI : http://hdl.handle.net/10069/23824



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