Sensitivity Analysis for 2-D Steady-State Elastodynamic Problems Using Boundary Element Method and Its Application.

Abstract

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.