Abstract
Reliability-based topology optimization (RBTO) is applied to the topology design of vehicle’s hood reinforcement considering static stiffness and natural frequency simultaneously based on BESO. Performance measure approach (PMA), which has probabilistic constraints that are formulated in terms of the reliability index, is adopted to evaluate the probabilistic constraints. For the RBTO for vehicle's hood reinforcement, uncertainties of the material property and the external loads are considered. Deterministic topology optimization (DTO) for vehicle’s hood reinforcement considering the static stiffness of bending and torsion, and natural frequency simultaneously has been obtained by the BESO implemented with the recently developed filter scheme. To do this, the multi-objective design optimization technique was implemented, and scale factor was employed to reflect the effect of each objective function properly. To evaluate the obtained optimal topology by RBTO, it is compared with that of DTO for vehicle’s hood reinforcement. It is found that multi-objective optimization technique based on the BESO can be applied very effectively in topology optimization for vehicle’s hood reinforcement considering the static stiffness of bending and torsion as well as natural frequency. And the more suitable topology is obtained through RBTO than DTO from the fact that the final volume of RBTO is a little bit larger than that of DTO in the case of high level of the static stiffness.
Keywords: Bi-directional Evolutionary Structural Optimization, Multi-objective Design Optimization, Performance Measure Approach, Reliability-based Topology Optimization