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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。
Taking the differential equation of bending deformation as the theoretical basis, the differential equations were deduced by using the principle of finite difference method, and the expression of the linear equations of bending deflection of work roll under a certain roll bending force was obtained. Through a given calculation example, the relevant calculation program has been compiled and the bending deformation calculation of a work roll under certain bending force has been completed. The results show that under the action of larger bending force, the bending of work roll along the positive x-axis cross section tends to increase non-linearly and reach the maximum at the center of bending roller bearing. In addition, the finite difference method is a fast and effective method to solve the work roll multi-point deflection.