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《Journal of Engineering Design》 2005-03

## Shape optimization of two-dimensional continuum structures underdisplacement, stress and size constraints

SUI Yun-kang, GUAN Zhao, DU Jia-zheng, LI Dong(Numerical Simulation Center for Engineering, Beijing University of Technology, Beijing 100022, China)
Abstrcat Based on two-phase control theory, through establishing relation between design variables and coordinates of key points and relation between coordinates of key points and coordinates of nodes, relation between design variables and coordinates of nodes are acquired. According to the acquired relation, relation between objective function and design variables is constructed. By adopting finite difference method, restraint functions of stress and displacement are gained, and shape optimization model meeting stress, displacement and size restraints is established. The sequential quadratic programming is adopted to solve the shape optimization problem of two-dimensional continuum structures. Taking MSC/Nastran software as solver of structure analysis, program of two-dimensional continuum structures is developed with PCL language. In the process of program implementation, to effectively avoid iterative fluctuation and even divergence, the upper and lower bounds of design variables is adjusted by interval factor. The numerical examples show that the program and algorithm are robust, reliable and efficient.
【Fund】： 国家自然科学基金资助项目(10472003);; 北京市自然科学基金资助项目(3042002);; 北京市教委资助项目(KM200410005019);; 美国MSC公司支持课题.
【CateGory Index】： TB47
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