境界離散化解析解による板の面内振動解析 : 選点法による検討

概要

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This paper deals with a method for analysis of the in-plane vibrations of plates. The in plane vibration is described as a plane stress problem with inertia forces. The governing equation can be reduced into two Helmholtz's equations which express the P- and S-waves respectively. The general solutions in the polar coordinates of the reduced equations can be obtained easily in terms of the Bessel functions. Boundary conditions are satisfied approximately at some discrete points on the edges of the plates. A frequency equation is derived in a determinant form. Natural frequencies of a square, a rectangular and a trapezoidal plate, with free edges, calculated by this method agree well with measured ones. Furthermore, boundary conditions of clamped edges and sliding edges are studied.
一般社団法人日本機械学会の論文
1998-01-25