| 包含两类变量的离散变量框架结构拓扑优化设计 |
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| 引用本文： | 柴山,曲庆文,李基恒.包含两类变量的离散变量框架结构拓扑优化设计[J].山东理工大学学报,2003,17(1):55-59. |
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| 作者姓名： | 柴山 曲庆文 李基恒 |
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| 作者单位： | [1]山东理工大学机械工程学院，山东淄博255049 [2]泰安特种车制造厂，山东泰安271000 |
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| 基金项目： | 山东省自然科学基金连续资助项目 (L2 0 0 0A0 1) |
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| 摘 要： | 将包含两类变量的桁架结构拓扑优化设计的概念及求解离散优化的相对差商法进一步推广到由梁单元组成的框架结构的拓扑优化，建立了包含两类变量的框架结构拓扑优化设计模型，构造了包含应力约束和位移约束的统一约束函数，发展了统一处理两类变量，求解包含两类变量的框架结构拓扑优化设计问题的算法，并给出了两个算例．
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| 关 键 词： | 框架结构 离散变量 结构拓扑优化设计 应力约束 位移约束 相对差商法 |
| 文章编号： | 1007-1857(2003)01-0055-05 |
| 修稿时间： | 2002年12月11 |
Topology Optimization of Frame Structures With Discrete Variables Including Two Kinds of Variables |
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| CHAI Shan ,QU Qing wen ,LI Ji heng.Topology Optimization of Frame Structures With Discrete Variables Including Two Kinds of Variables[J].Journal of Shandong University of Technology:Science and Technology,2003,17(1):55-59. |
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| Authors: | CHAI Shan QU Qing wen LI Ji heng |
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| Institution: | CHAI Shan 1,QU Qing wen 1,LI Ji heng 2 |
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| Abstract: | The concept of topology optimization of truss structures with discrete variables including two kinds of variables and the relative deference quotient algorithm for discrete optimization are extended to the topology optimization of frame structures composed by beam elements. A mathematical model of topology optimization of frame structures with discrete variables including two kinds of variables is developed. A unitized constrain function is constructed, including stress constraints and displacement constraints. An algorithm to solve the above model is developed. Two examples are given. |
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| Keywords: | discrete variables topology optimum design of structrures frame structures |
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