用有限元法计算薄板非稳定温度场

Transient Heat Transfer Problems of Thin Plates Solved by the Finite Element Method

在空间域上根据变分原理导出了与薄板导热——换热控制方程相应的泛函并由此建立了有限元方程式;在时间域上用加权余量法得到了时间递推公式.通过算例将有限元计算结果与理论解或边界元计算结果进行了对照,比较了采用不同时间权函数时对计算结果的影响.

The functional corresponding to the governing equation of transient heat transfer of thin plates has been derived and the fiuite element equations have been obtained hased on the variational principle in the space domain, A time recurrence formula derived by means of weighted residual method has been used in the domain,Through calcalations the results of finite element method have been compared with the analytical solutions or the one by boundary element method.The influence of using different time-weighted function on the calculated results has been also compared.