境界要素法を用いた境界値逆問題解析における適切な基本解の選択に関する研究

概要

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In this study, a method for the regularization of the boundary value inverse analysis has been proposed. The method is that the fundamental solution in B. E. M. is selected adequately according to the problem to be solved and the rank of the coefficient matrix constructed using the adequate fundamental solution is reduced for the regularization. The optimum condition for solving the boundary value inverse problem is found by using the objective function which is the condition number of the coefficient matrix and the error norm caused by the rank reduction of the matrix. In a numerical example, the optimum condition can be found to the inverse problem governed by twodimensional Leplace and plate bending equation. It was seen that the optimum condition obtained by the proposed method in more adequate than the one obtained by the conventional method from the viewpoint of the objective function. Therefore the proposed method is proved to be very effective for the inverse analysis in B.E.M.
社団法人日本機械学会の論文
1998-12-25