奇异点弧线处理方法及其应用

在入口端剪切面附近采用弧线圆滑过渡来处理刚塑性有限元求解板材轧制过程的第一类奇异点,开发了二维刚塑性有限元求解程序.依据实际轧制数据对速度场、轧制力、迭代步数及收敛性能进行了求解分析.结果表明:传统方法和弧线法计算的轧制力和实测值吻合良好,计算误差小于10%;弧线法能够反映奇异点附近的速度变化,较好抑制了奇异性产生;相比传统方法,弧线法平均迭代步数减少约26%,稳定性提高约55%,有利于在线快速稳定求解.

Arc Line Method of Singular Point and Its Application

The smooth transition of the arc line on the corner of entry of roll gap was used to deal with the first class of singular point during the simulation of common rolling,and a 2D RPFEM(rigid-plastic FEM) program was developed.The velocity field,the rolling force,the iteration steps and the convergence were computed and analyzed according to the actual rolling data.The results showed that the measured rolling force is in good agreement with the calculated value by arc line/ traditional method,and the error is less than 10%.The arc line method can reflect the velocity change about singular point and restrain singularity.Compared with the traditional method,the average iteration steps reduce about 26% and the stability improves about 55%.The arc line method is in favor of reducing computation time and improving stability on line.