轴对称问题的热传导与热应力边界元分析

Heat Conduction and Stress Analysis for Axisymmetric Problem by the Boundary Element Method

本文利用边界单元法分析了包括三类边界条件的轴对称热传导问题和轴对称热应力问题.分别用三角形有限单元和常数边界单元计算了柴油机活塞的温度场和热应力场,两种方法所得结果十分吻合.但边界元法准备数据时间和计算时间少(约为有限元法的六分之一),占用计算机内存少,充分显示了边界元法的优点.

In this paper, axisymmetric heat conduction and heat stress problems with three types of boundary conditions are analysed by the Boundary Element Method. The temperature and thermal stress fields for the piston of a diesel engine are calculated using triangular finite elements and constant boundary elements respectively, and the two results are agreeable. However, B. E. M. needs fewer data, less computer time(about one-sixth of that of F. E. M.) and storage volume. The advantages of B. E. M. are sufficiently demonstrated.