淬火冷却过程三维反传热有限元分析中优化方法对计算效率的影响

Study on the Influence of Optimization Methods on the Computatio n Efficiency in Inverse Heat Conduction Analysis with 3D FEM during Quench ing Process

研究了三维问题的温度场有限元模拟模型和组织场与相变潜热的计算方法,自主编写了三维有限元分析软件。在此基础上,以进退法确定初始搜索区间,分别采用黄金分割法、逐次二次插值法以及二者的混合法等优化方法确定换热系数的最优值,对淬火冷却过程三维反传热问题进行了研究和结果比较。计算结果显示,三种优化方法的结果与参考值均吻合良好,但对于解析性能较好的优化函数,黄金分割法计算效率最低,逐次二次插值法计算效率最高,混合法介于二者之间,略低于逐次二次插值法,但混合法对优化函数的适应性则好于逐次二次插值法,比较稳定。因此,在效率差别不大的情况下,应优先选用混合法。

The determination of surface heat transfer coefficient in the inverse heat conduction analysis during quenching process, is a bad-posed an d nonlinear problem which is time consuming because of frequent iterative comput ation. Based on the 3D FEM program developed by the author, the problem is studi ed by searching the optimizing interval with retreat method first,and then asce rtaining the optimum value of heat transfer coefficient with golden section search method, successive parabolic interpolation metho...