境界離散化解析解による板の曲げ振動解析 : 第3報, 選点法における計算法の改良

概要

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It was shown in the second report that a collocation method using analytic solutions can be applied to the analyses of bending vibrations of plates with various shapes and that it yields accurate results. This means that the bending vibrations of plates, which have been treated by various methods of approximation so far, can be analyzed by only the simple collocation method. However, some problems remain. In particular, a marked change of determinant in a frequency equation makes calculation unstable. It remains unknown how to treat reasonably the boundary conditions at corner points and how to determine degenerated natural frequencies. In this paper, improvements of the calculating procedure concerning the aforementioned problems are shown.
一般社団法人日本機械学会の論文
1997-01-25