Abstract: In the process of designing the monolithic compliant mechanism via multi-objective topology optimization of continuum, the elasticity modulus and external loads are treated as random variables, and so are the strain energy and the mutual potential energy acting as the objective function. The Hasofer-Lind and Rackwitz-Fiessler method is adopted to derive the iterative formulations on the failure probability of a series system consisting of two failure modes, the strain energy and the mutual potential energy. The dual mathematical model of reliable multi-objective topology optimization design of the monolithic compliant mechanism is built. The dual arithmetic of sequential convex rogramming is adopted as the solving strategy. An inverter compliant mechanism is adopted as the numerical example and indicates that the topology optimization design result approaches conservativeness with an increasing reliability constraint index.

Key words: compliant mechanisms, continuum, multi-objective, topology optimization