| 多工况应力约束下的拓扑优化格栅 |
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| 引用本文： | 乔惠云,周克民. 多工况应力约束下的拓扑优化格栅[J]. 工程力学, 2009, 0(6) |
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| 作者姓名： | 乔惠云 周克民 |
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| 作者单位： | 华侨大学土木工程学院; |
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| 基金项目： | 国家自然科学基金项目(10872072); 教育部科学技术研究重点项目(208169); 福建省自然科学基金计划项目(E0640010) |
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| 摘 要： | 提出一种多工况应力约束下格栅结构的拓扑优化方法。优化目标结构是由无限细无限密的梁(或肋)构成的类格栅连续体(或加肋板)。采用正交异性增强复合材料模型模拟该类格栅连续体(或加肋板)的本构关系。以梁在结点处的密度和方向作为设计变量。根据有限元分析结果,采用满应力准则法优化各单工况下材料分布。按照多工况下材料的方向刚度与各单工况下材料的方向刚度最大值的差值最小为原则建立多工况下梁(或肋)的拓扑优化分布。经过少量迭代就可以建立优化的材料连续分布场。最后以3个算例演示拓扑优化的过程,并给出结点处梁的密度和方向分布。
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| 关 键 词： | 板 拓扑优化 多工况 应力约束 格栅 |
TOPOLOGICAL OPTIMIZATION OF GRILLAGE UNDER MULTIPLE LOAD CASES WITH STRESS CONSTRAINTS |
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| QIAO Hui-yun,ZHOU Ke-min. TOPOLOGICAL OPTIMIZATION OF GRILLAGE UNDER MULTIPLE LOAD CASES WITH STRESS CONSTRAINTS[J]. Engineering Mechanics, 2009, 0(6) |
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| Authors: | QIAO Hui-yun ZHOU Ke-min |
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| Affiliation: | QIAO Hui-yun,*ZHOU Ke-min (College of Civil Engineering,Huaqiao University,Quanzhou,Fujian 362021,China) |
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| Abstract: | A method to optimize the topology of grillage structures under multiple load cases with stress constraints is presented. The optimal structures are grillage-like continua/stiffened-plates containing infinite number of beams/ribs of infinitesimal spacing. The fiber-reinforced orthotropic composite is employed as the material model to simulate the constitutive relation of the grillage-like continua/stiffened-raft. The beams/ribs densities and orientations at the nodes are taken as design variables. The materi... |
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| Keywords: | plate topology optimization multiple load cases stress constraints grillage |
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