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《Engineering Mechanics》 2008-S2
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A STRUCTURAL TOPOLOGICAL OPTIMIZATION METHOD BASED ON EXPLORING CONCEPTUAL ROOT

SUI Yun-kang , YE Hong-ling , LIU Jian-xin , CHEN Shi , YU Hui-ping (Numerical Simulation Center for Engineering, Beijing University of Technology, Beijing 100124, China)  
This paper introduces the transformation of the 0-1 discrete variables into continuous variables in topological optimization problem by ICM (Independence, continuous and Mapping) method. The first step is to convert equivalently the discrete problem into continuous problem taking advantages of the step-up function; The second step is to define the polish function to approach the step-up function; The third step is to establish the mapping model by introducing the filter function which is the inverse function of the polish function; The fourth step is to solve the model with continuous variables by some smooth algorithms. Some representative numerical examples of continuous structures have illustrated the process of transforming the topological optimization model into independent level one. This method and the numerical solutions show that the method is also suitable for pure mathematical optimization problems with 0-1 discrete variables.
【Fund】: 国家自然科学基金项目(10472003);; 汽车车身先进设计制造国家重点实验室开放基金项目(30715002);; 高校博士点基金项目(20060005010)
【CateGory Index】: O342
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