| 基于人工材料密度的新型拓扑优化理论和算法研究 |
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| 引用本文： | 左孔天,陈立平,钟毅芳,王书亭,张云清.基于人工材料密度的新型拓扑优化理论和算法研究[J].机械工程学报,2004,40(12):31-37. |
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| 作者姓名： | 左孔天 陈立平 钟毅芳 王书亭 张云清 |
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| 作者单位： | 华中科技大学机械工程学院 |
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| 基金项目： | 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。 |
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| 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。
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| 关 键 词： | 卷积因子法 人工材料密度 数值计算 拓扑优化 优化准则 |
| 修稿时间： | 2004年2月5日 |
NEW THEORY AND ALGORITHM RESEARCH ABOUT TOPOLOGY OPTIMIZATION BASED ON ARTIFICIAL MATERIAL DENSITY |
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| Zuo Kongtian Chen Liping Zhong YifangWang Shuting Zhang Yunqin.NEW THEORY AND ALGORITHM RESEARCH ABOUT TOPOLOGY OPTIMIZATION BASED ON ARTIFICIAL MATERIAL DENSITY[J].Chinese Journal of Mechanical Engineering,2004,40(12):31-37. |
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| Authors: | Zuo Kongtian Chen Liping Zhong YifangWang Shuting Zhang Yunqin |
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| Affiliation: | School of Mechanical Engineering, Huazhong University of Science and Technology |
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| Abstract: | 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. |
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| Keywords: | Artificial material density Topology optimization Optimization criteria Convolution integral factor method Numerical calculation |
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