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四边形等参单元温度场有限元分析中的混合边界条件

Coupled Boundary Condition in Transient Finite Element Analysis by Quadrilateral Isoparametric Element

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【作者】 刘华波庄稼年王红囡

【Author】 LIU Hua-bo, YING Jia-nian, WANG Hong-Nan( Civil Engineering College, Tongji University, Shanghai 200092, China) ( College of Architecture Engineering, Shanghai Teachers University, Shanghai 200234, China)

【机构】 同济大学土木工程学院上海师范大学建筑工程学院 上海 200092上海 200092上海 200234

【摘要】 在温度场有限元分析中,边界条件的合理确定是一个非常重要的问题。本文以四边形等参单元为基本单元,采用基于微分方程等效积分原理的Galerkin加权余量法,建立了热传导问题的有限元方程,推导出混合边界条件的有限元计算公式。最后,根据求得的温度场可得截面温度应力分布。

【Abstract】 The treatment of boundary condition is important during transient finite element analysis. Quadrilateral isoparametric element was applied as base element. Based on Galerkin weighted residuals method, finite element equation for heat flow was set up. The formula for various boundary conditions were derived, especially for the coupled boundary condition with second-type and third-type boundary condition acting on element boundary at the same time. At last, thermal stresses were solved according to temperature distribution on the section.

  • 【文献出处】 力学季刊 ,Chinese Quarterly of Mechanics , 编辑部邮箱 ,2003年03期
  • 【分类号】O551.3
  • 【被引频次】5
  • 【下载频次】196
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