四边形等参单元温度场有限元分析中的混合边界条件

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。

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

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.