摘要
对基于人工材料密度的拓扑优化理论作了深入分析;推导出了一种基于人工材料密度的拓扑优化准则算法,将该算法应用于拓扑优化的计算中,并给出了基于人工材料密度的拓扑优化迭代分析流程;提出了一种卷积因子方法,用于消除拓扑优化计算结果中易出现的棋盘格式和多孔材料现象;通过数值计算验证了理论和算法的有效性;分析讨论了不同优化参数对拓扑优化计算结果的影响。
The topology theory based on artificial material density is deeply analyzed. For solving the topology optimization problems, a new optimization criteria based on artificial material density is deduced and used in the topology optimization. At the same time, an iteration procedure of topology optimization based on artifical material density is presented. A convolution integral factor method is introduced to eliminate the checkboard pattern and porous material in the topology optimization. The theory and algorithm are realized and verified with a numerical calculation, and the effect of different parameters to the topology optimization results is also discussed.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2004年第12期31-37,共7页
Journal of Mechanical Engineering
基金
国家重点基础研究发展规划项目(2003CB716207)国家863计划(2003AA001031)资助项目。
关键词
人工材料密度
拓扑优化优化准则卷积因子法数值计算
<Keyword>Artificial material density Topology optimization Optimization criteria Convolution integral factor method Numerical calculation
