7R22.板材轧制刚塑性有限元初始速度场的设定-金属所张光亮.pdfVIP

2007 年全国塑性加工理论与新技术学术研讨会 2007 年5 月 沈阳 板材轧制刚塑性有限元的初始速度场设定* 1 1 1 2 3 张光亮 ，张士宏 ，刘劲松 ，张海渠 ，李长生 (1. 中国科学院金属研究所，辽宁，沈阳，110016；2.沈阳大学，辽宁，沈阳，110044；3.东北大学轧 制技术及连轧自动化国家重点实验室，辽宁，沈阳，110004) 摘 要： 本文以提高板材轧制刚塑性有限元的计算速度为目标，研究采用 Newton 法求解刚塑性有限元的能耗率泛 函时初始速度场的设定对计算速度的影响。研究了在采用初等方法和 G 函数法设定初始速度场时，刚塑性有限元求 解迭代次数和计算时间的变化规律。分析了有限元程序求解过程中，程序的主要部分包括 Hessian 矩阵、一维线性搜 索以及线性方程组求解的计算时间的分配规律，为进一步提高计算速度指明方向。 关键词：板带轧制；刚塑性有限元法；初速度场 Initialization of Velocity Field in Strip Rolling by Rigid-Plastic FEM 1 1 1 ZHANG Guangliang, ZHANG Shihong, LIU Jinsong, 2 3 ZHANG Haiqu, LI Changsheng (1. Institute of Metal Research, Chinese Academy of Sciences. Shenyan 110016, P.R. China; 2. Shenyang University, Shenyang 110044, P.R. China;3. State Key Lab of Automation and Rolling, Northeastern University, Shenyang 110004, P.R. China.) Abstract: This paper aims at the improvement of the calculation speed of rigid-plastic FEM of strip rolling. The effect of initial guess of velocity filed to the calculation speed of the rigid plastic FEM of strip rolling when Newton algorithm was used. The changing rules of iteration times and calculation time of rigid plastic FEM were analyzed in the cases of preliminary method and G function of initial guess of velocity field. The distribution rules of the calculation time for main parts of the program including Hessian matrix, one dimension linear search and matrix equation were analyzed during the solution of the finite element program. The further research directions to improve the calculation speed were proposed in this paper. Keywords: strip rolling; RP FEM; i