Dynamic-Static Optimization Design with Uncertain Parameters for Lift Arm of Parking Robot

There are a large number of uncertainties in engineering design, and the accumulated uncertainties will enlarge the overall failure probability of the structure system. Therefore, structural design considering uncertainties has good guiding significance for improving the reliability of engineering structures. To address this issue, the dynamic-static structural topology optimization is established and reliability-based topology optimization with decoupling format is conducted in this study. The design point which satisfying the constraint of the target reliability indicator is obtained according to the reliability indicators of the first-order reliability method, and the uncertain design variables are modified into a deterministic variable according to the sensitivity information. What's more, the reliability-based topology optimization is performed by dividing the problem into two independent sub-problems of reliability analysis and equivalent deterministic topology optimization, and the feasibility of the reliability-based optimization method is verified with the lift arm of parking robot. To meet the dynamic-static performances and lightweight requirements of the lift arm of parking robot, the multi-objective topology optimization model of the lift arm is established by the combined compliance method. The results show that compared with deterministic topology optimization, reliability-based topology optimization with decoupling format can obtain a higher reliable optimization configuration, and meet the design requirements on high reliability and safety. This study offers a feasible route for dynamic and static multi-objective optimization of lift arm considering uncertain factors.