A level set method for reliability-based topology optimization of compliant mechanisms

Based on the level set model and the reliability theory, a numerical approach of reliability-based topology optimization for compliant mechanisms with multiple inputs and outputs is presented. A multi-objective topology optimal model of compliant mechanisms considering uncertainties of the loads, material properties, and member geometries is developed. The reliability analysis and topology optimization are integrated in the optimal iterative process. The reliabilities of the compliant mechanisms are evaluated by using the first order reliability method. Meanwhile, the problem of structural topology optimization is solved by the level set method which is flexible in handling complex topological changes and concise in describing the boundary shape of the mechanism. Numerical examples show the importance of considering the stochastic nature of the compliant mechanisms in the topology optimization process. Supported by the National Natural Science Foundation of China (Grant No. 50775073), the Teaching and Research Award Program for Outstanding Young Teacher in Higher Education Institutions of the Ministry of Education of China, the Guangdong Hong Kong Technology Cooperation Funding (Dongguan Project 20061682), the Research Project of Ministry of Education and Guangdong Province (Grant No. 2006D90304001), and the Natural Science Foundation of Guangdong Province, China (Grant No. 05006494)