解析解による板の曲げ振動解析(集中励振力とその関連問題)(機械力学,計測,自動制御)

概要

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This paper deals with analysis of bending vibration of plates excited by concentrated forces and related problems. These problems have been treated by the finite element method, the finite difference method and the method of series expansion so far. However, these methods are not necessarily adequate to the present problems, because they cannot express exactly singularities due to concentrated forces. Analytic solutions including particular solutions corresponding to concentrated forces are used in this study. Boundary conditions are satisfied approximately by the collocation method. This method can be applied to not only forced vibrations but also free vibrations of a plate supported at several points. A class of arbitrarily shaped plates can be analysed by the proposed method.
一般社団法人日本機械学会の論文
2002-04-25