HC轧机辊间接触与辊系变形的Taylor级数多极边界元数学规划解析

Analysis of contact and roll system deformation of HC mill by Taylor series multipole BEM mathematical programming method

分析HC轧机辊间接触分布和辊系弹性变形对于改善辊间压力分布状态,减少轧辊磨损,提高轧辊使用寿命及改善板形非常重要。但由于计算量很大,使用传统数值方法(有限元法或边界元法)分析辊间接触和辊系变形是非常困难的。本文描述了一种基于点-面接触模型的三维弹性接触Taylor级数多极边界元法,给出了数学规划解析方法,适合大规模弹性接触问题的求解。运用该方法成功求解了HC轧机辊间接触压力分布和辊系弹性变形问题。数值算例证明了该方法的正确性和有效性。

The analysis of contact stresses and roll system deformation of HC mill are important to improve the distribution of contact force between rolls,reduce the wear of rolls,enhance the service life of rolls,and improve the flatness of strip.Due to the expansive computational costs,the contact and deformation analysis of roll system are very difficult via using the conventional numerical methods,such as FEM or BEM etc.A 3D elastic contact Taylor series multipole BEM with friction is presented base on ＂node-to-surface＂ contact model in this paper.The mathematical programming solving method is described,and the new method is suitable for large-scale elastic contact problems.The contact stresses and roll system deformation of HC mill are solved by the presented method.The numerical results show the validity and correctness of 3D elastic contact Taylor series multipole BEM mathematical programming method.