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有限元方法形成三维Michell桁架

周克民 李俊峰

周克民, 李俊峰. 有限元方法形成三维Michell桁架[J]. 应用数学和力学, 2005, 26(3): 349-355.
引用本文: 周克民, 李俊峰. 有限元方法形成三维Michell桁架[J]. 应用数学和力学, 2005, 26(3): 349-355.
ZHOU Ke-min, LI Jun-feng. Forming Michell Truss in Therr-Dimensions by Finite Element Method[J]. Applied Mathematics and Mechanics, 2005, 26(3): 349-355.
Citation: ZHOU Ke-min, LI Jun-feng. Forming Michell Truss in Therr-Dimensions by Finite Element Method[J]. Applied Mathematics and Mechanics, 2005, 26(3): 349-355.

有限元方法形成三维Michell桁架

基金项目: 教育部高等学校优秀青年教师教学科研奖励基金资助项目
详细信息
    作者简介:

    周克民(1962- ),男,河北新河人,教授,博士(联系人.Tel:+86-595-22691468;Fax:+86-595-22692097;E-mail:zhoukemin@tsinghua.org.cn).

  • 中图分类号: O343.8;TU323

Forming Michell Truss in Therr-Dimensions by Finite Element Method

  • 摘要: 提出了形成三维Michell桁架的有限元方法.采用正交异性纤维增强复合材料模型模拟Michell桁架.纤维在节点处的密度和方向作为基本设计变量.根据有限元分析得到节点位置的应力和应变.采用迭代方法,将纤维方向调整到主应力方向;根据纤维方向的应变改变纤维密度. 仅需少量迭代即可得到满足Michell准则的应变场和类桁架连续体.最后根据节点处的纤维方向用连续线表示出Michell桁架.几个算例表明了算法的有效性和计算效率.
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出版历程
  • 收稿日期:  2004-06-20
  • 修回日期:  2004-11-20
  • 刊出日期:  2005-03-15

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