基于有限差分法的工作辊弯辊挠曲计算

Calculation of Bending Rigidity for the Working Roll Based on Finite Difference Method

以弯曲变形的微分方程为理论基础,运用有限差分法相关原理对这些微分方程进行了相关推导,得出了一定弯辊力作用下工作辊挠曲变形计算的线性方程组表达式。通过给定的计算实例,编制了相关计算程序,完成了一定弯辊力作用下某工作辊的挠曲变形计算。结果表明:在较大弯辊力作用下,工作辊沿x轴正向各截面的挠曲呈非线性变大趋势,且在弯辊轴承中心作用点处达到最大。此外,有限差分法不失为一种快速有效地求解工作辊多点挠度的计算方法。

Based on the differential equations of bending deformation, the linear equations for the working roll deformation with the effect of a certain bending force was expressed by means of finite difference method. Through one given example, the corresponding calculation program was carried out for the working roll deformation. The results show that each section deflection along the positive x axis has the nonlinear changing trend with the effect of larger bending force. The deformation maximum exits on the loaded bearing center point. In addition, finite differ- ence method is also rapid and effective for some similar solving problems.