等方均質円板の曲げ振動の三次元解析

概要

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Three-dimensional analyses of bending vibrations of circular plates have been made by Pickett and Hutcinson, but their investigations were insufficient concerning both the theoretical treatment and the numerical results. The analytical method presented in this paper is based on the superposition of the guided wave modes in an infinite plate. Therefore the solutions used in the analysis satisfy exactly the traction free condition on the parallel boundaries. On the other hand, the boundary conditions on the curved surface can not be satisfied exactly. Then the equations of the boundary conditions on the exterior edge are integrated piecewisely in the thickness direction to derive an approximate frequency equation. Some numerical results of natural, frequencies are shown and discussed.
一般社団法人日本機械学会の論文
1988-03-25