音響問題の境界要素解析での見かけの固有振動数問題を回避するための新手法 : 2次元問題に関する検討(機械力学,計測,自動制御)

概要

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This paper is concerned with a new method for avoiding the fictitious eigenfrequency problem in boundary element analysis of two-dimensional acoustic problems govened by Helmholtz equation. It is well known that in solving the external acoustic problem by means of the boundary integral equation, the solution is violated by the fictitious eigenfrequencies of the problem, which correspond to those of the internal problem. The present paper proposes a new method to circumvent the fictitious eigenfrequency problem by using the dual boundary integral equation for nodal points on the boundary. The quadratic boundary element is employed in this study. The usual boundary integral equation is applied to the end points of boundary element connected to other elements, while the derivaive boundary integral equation is applied to the other internal point of element. The proposed approach is implemented, and its effectiveness is demonstrated through comparison of the numerical results obtained by the developed computer code with other solutions.
一般社団法人日本機械学会の論文
2005-11-25