二次元ヘルムホルツ方程式系の選点法による解析 : 解析解の有効性に関する基本的検討

概要

論文の詳細を見る
This paper deals with a collocation method for two-dimensional problems described by Helmholtz's equation. In this method, analytic solutions of the governing equation are used. The solutions contain the Bessel functions of the first kind and are regular on the whole plane. Recent studies on the bending vibrations of plates showed that this kind of the solution is valid for domains with convex shapes. The result holds in the problems treated here. However, it has not been clarified whether the solutions can be applied for domains with concave edges. This study showed that if the center of curvature or the whole evolute of the concave edges exist on the outside of the minimum circle which encloses the domain, the solutions converge to appropriate eigenmodes.
一般社団法人日本機械学会の論文
1997-10-25