境界要素法を用いた二次元定常動弾性問題の感度解析法とその応用

概要

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Sensitivity analysis is important in inverse analysis and optimization. In such problems, an iterative procedure is employed to find the minimum value of the cost function, which requires accurate and efficient computation of sensitivities with respect to unknowns or design parameters. We consider an isotropic, homogeneous, linear elastic body which is subjected to time-harmonic excitations. Differentiating the regularized boundary integral equations for these elastodynamic problems, we obtain the relationships between the displacements, tractions and design sensitivities. The accuracy and usefulness of the proposed method are demonstrated through sensitivity analysis of some examples in the two-dimensional elastodynamic problem. Finally, the method is applied to optimal shape design for reduction of stress concentration.
社団法人日本機械学会の論文
1995-09-25