319 内部の変位およびひずみ情報を用いた静弾性境界値逆問題の解析とランク低下法による適切化

概要

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For solving inverse boundary value problems, over-prescribed boundary values have been used. In the present study boundary values on the incompletely prescribed boundaries are estimated using the inside measurements. Application of the boundary element method reduces this inverse boundary value problem to the solution of matrix equation. This matrix equation is severely ill-conditioned because of the ill-posedness of the problem. Regularization is therefore necessary to obtain a good solution of this matrix equation. A selection of the effective rank is necessary for solving inverse boundary value problem with the use of the singular value decomposition. The optimum condition number method worked better than the L-curve method for selecting the effective rank.
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