三维稳态板轧制过程快速无网格伽辽金法模拟  

Rapid element free Galerkin method for simulation of three-dimensional steady strip rolling

作　　者：王森 张勃洋[1] 张立元[1] 张清东[1] WANG Sen;ZHANG Bo-yang;ZHANG Li-yuan;ZHANG Qing-dong(School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学机械工程学院

出　　处：《塑性工程学报》2019年第4期78-84,共7页Journal of Plasticity Engineering

基　　金：国家自然科学基金资助项目(51575040)

摘　　要：针对采用无网格伽辽金法(EFGM)求解板带轧制过程塑性变形时计算效率低的问题,在保留EFGM的基本求解思想与框架基础上,利用边界条件和已知条件等限制某些离散节点的自由度从而减少未知数个数,提出了快速无网格伽辽金求解方法(REFGM)。采用该方法模拟了三维稳态板轧制过程,并通过改变节点分布和节点数目对轧制过程分别进行计算。发现求解结果相近,证明了REFGM具有良好的收敛性;此外,发现仿真计算结果与实验值之间的最大误差在8%以内,证明了仿真模型的准确性;对比REFGM与EFGM求解的轧制压力、带钢宽向位移以及前滑系数的计算结果,两者计算结果接近,但REFGM相比于EFGM大大提高了计算效率。采用REFGM仿真分析了三维稳态板轧制过程轧制区内速度场分布以及轧制压力分布,定量获得轧制过程中轧制区内金属的塑性流动规律。In view of the problem of the low calculation efficiency of element free Galerkin method(EFGM)in plastic deformation during the strip rolling process,a rapid element free Galerkin method(REFGM)was proposed,which retained the basic solution idea and frame-work of EFGM,and could reduce the number of unknowns by using the boundary conditions and known conditions which were used to limit the freedom degree of some discrete nodes.By using the REFGM,the three-dimension steady strip rolling process was simulated,and the rolling process was calculated by changing the node distribution and the nodes number.It is found that the solution results are similar,which proves that REFGM has good convergence.It is also found that the maximum error between the simulation results and the experi-ment results is within 8%,which proves the accuracy of the simulation model.Furthermore,the simulation results of the rolling pressure,width displacement and forward slip efficiency through the REFGM and EFGM were also compared,and that the calculation results are similar,while REFGM has higher calculation efficiency compared with EFGM.REFGM was used to simulate and analyze the distribution of velocity field and rolling pressure in the rolling zone of three-dimensional steady strip rolling process.The plastic flow law of metal in rolling zone during rolling process was obtained quantitatively.

关 键 词：三维稳态板轧制 快速无网格伽辽金法 离散节点 速度场 轧制压力 

分 类 号：TG37[金属学及工艺—金属压力加工]