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为了解决当前轧齐理论应用于复杂台阶轧齐曲线求解时存在精确性不足的问题,同时为了进一步探究轧齐成形的本质,通过改进以往解法中的几何模型,分析并给出各影响因素之间的关系函数,将轧齐曲线求解问题描述为微分方程初值问题;以内直角台阶作为实例,通过数学软件编程对微分方程进行求解,得到轧齐曲线离散函数;利用结果建立三维模型并设计轧辊,进行有限元成形模拟和轧制实验。通过对比台阶面的平面性以及展宽槽宽度,证明该解法不仅成立,同时能够成形质量更优的内直角台阶。
In order to solve the problem of lack of accuracy when the current rolling theory is applied to the solution of complex step-rolling curves, in order to further explore the essence of rolling-forming, by improving the geometric model in the previous solution, the relationship between the influencing factors The relationship between the function of the rolling curve is described as the initial value of the differential equation; the inner right-angle step as an example, through the mathematical software programming to solve the differential equation to get the dispersion curve of the rolling curve; using the results to build three-dimensional model and design of the roll, Finite element simulation and rolling experiments. By comparing the planarity of the stepped surface and the width of the broadening groove, it is proved that the solution not only holds, but also can form the inner right angle step with better quality.