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具有不同拉压性能材料的连续体结构拓扑优化

TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH MATERIALS EXHIBITING DIFFERENT TENSILE AND COMPRESSIVE PROPERTIES

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【作者】 蔡坤陈飙松张洪武

【Author】 Cai Kun Chen Biaosong~(2)) Zhang Hongwu (State Key Laboratory of Structural Analysis for Industrial Equipment,Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology,Dalian 116023,China)

【机构】 大连理工大学运载工程与力学学部工业装备结构分析国家重点实验室

【摘要】 采用浮动的拉伸与压缩生长参考区间法讨论材料的拉伸与压缩性能差别对最优拓扑的影响.材料的拉伸与压缩性能差别包含两个方面,其一,基础材料的拉伸杨氏模量与压缩杨氏模量存在差异;其二,基础材料在拉伸变形与在压缩变形下生长的参考应变区间不同.两者对结构最优拓扑的影响具有等效性.数值算例证明了这一等效性.数值算例进一步表明,对于一个给定的设计域,基础材料的拉伸与压缩性能差异对结构最优拓扑影响很大.因此,考虑结构及材料具有不同拉压性能时的拓扑优化工作具有明显的工程意义.

【Abstract】 The effects of the difference between the tensile and compressive properties (TCPs) of materials on the final topologies of structures are investigated with floating reference intervals in the optimization case of a bone growing process based on Wolff’s law.There are two aspects in the difference on TCPs of basal materials to have equivalent effects on the structural topology optimization:one is the difference between their tensile and compressive Young’s moduli,the other is the variation of the intervals of their references strains in bone growing process under the tensile or compressive state.The numerical cases verify this equivalence and further reveal a more reasonable structure topology subjected to the differences on TCPs of the materials.

【基金】 国家自然科学基金与创新群体基金(10225212,10721062,10402005);长江学者和创新团队发展计划;国家基础性发展规划(2005CB321704)资助项目~~
  • 【文献出处】 力学学报 ,Chinese Journal of Theoretical and Applied Mechanics , 编辑部邮箱 ,2008年05期
  • 【分类号】O342
  • 【被引频次】7
  • 【下载频次】308
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