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《Engineering Mechanics》 2008-08
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TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES UNDER BUCKLING AND STRESS CONSTRAINTS

SUI Yun-kang1 , BIAN Bing-chuan2 (1. The Centre of Numerical Simulation for Engineering, College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China; 2. Department of Applied Science and Technology, Taishan University, Taian, Shandong 271021, China)  
In this paper, the topology optimization model for continuum structures was developed based on the ICM (Independent Continuous Mapping) method. The objective function of this model is the minimized weight, which is subjected to both the buckling constraints and stress constraints. Using continuous independent topological variables, adopting Taylor expansion and the filtering function, the objective function was expressed approximately as a second-order expression. Based on the Rayleigh quotient, Taylor expansion and the filtering function, the buckling constraints were expressed approximately and explicitly. Using the globalization method of stress constraints and the von Mises’ yield criterion, the local stress constraints were converted into strain energy constraints of the whole structure. Thus, the sensitivity analysis was facilitated. The optimization model was converted to be a dual problem, and then solved by the sequence second-order programming. Thus, the number of the variable was reduced and the model’s scale was minified. Numerical examples show that this method can solve the topology optimization problem of continuum structures with both the buckling and displacement constraints efficiently and give more reasonable structural topologies.
【Fund】: 国家自然科学基金(10472003);; 高校博士点基金(20060005010)
【CateGory Index】: TB121
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【Citations】
Chinese Journal Full-text Database 10 Hits
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