Dynamic response reliability based topological optimization of continuum structures involving multi-phase materials

For the purpose of improving structural dynamic reliability, a topological optimization methodology for maximizing the dynamic response reliability index is proposed based on the bi-directional evolutionary structural optimization (BESO) method. The objective of the present study is to maximize the dynamic response reliability index at specified points on the structure under random excitation, subject to volume constraints on multi-phase materials over the admissible design domain. The sensitivity of the dynamic response reliability index with respect to the design variables is derived. The optimization procedure of the extended BESO method is presented. A series of numerical examples in both 2D and 3D are presented to demonstrate the effectiveness and efficiency of the proposed approach.