In this paper, reliability-based topology optimization (RBTO) for 3-D structures was performed by using bi-directional evolutionary structural optimization (BESO) and standard response surface method (SRSM). In order to get stable optimal topology, th...
In this paper, reliability-based topology optimization (RBTO) for 3-D structures was performed by using bi-directional evolutionary structural optimization (BESO) and standard response surface method (SRSM). In order to get stable optimal topology, the latest developed filter scheme was implemented to BESO, and SRSM was used to generate an approximate limit state function. These results were compared with recently announced results of RBTO for the 2-D structures, and the differences between the results of 3-D and 2-D structures are considered. Cantilever beam and MBB beam were selected as numerical examples. From performing RBTO, it is found that the optimal topologies of DTO and RBTO for 2-D and 3-D MBB beams are obtained very differently. Especially, two-support member at the left hand side comes into being in the width direction. Therefore, it is known that RBTO for 3-D structures is necessary to be performed.