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本文在斜轧成型生产实践的基础上,将运动中的轧件与轧辊的相互关系抽象为曲面族和包络面的问题,然而用求包络面的方法导出了在已知轧件曲面的轴向剖线时辊形曲面方程的通用公式,并编制了通用计算程序,可以方便地计算轧辊曲面的轴向剖线、“法向”剖线等的精确尺寸。并可进一步计算用范成法磨削轧辊时的理论误差,以及调整轧辊角度时的理论误差。同时还可以由本文所导出的一般公式,方便地求出钢管矫直机辊形曲面方程以及它与钢管的接触线方程。
In this paper, based on the practice of slash-roll forming, the relationship between rolling and rolling is abstracted as the problem of curved surface family and enveloping surface. However, The general formulas for the equation of the roll surface in the axial section are also given. The general calculation program is compiled, which can easily calculate the exact size of the roll surface such as axial section line and normal section line. And further calculation of the theoretical error when grinding roll with the Fan into law, as well as the theoretical error when adjusting the roll angle. In the meantime, the equation of roller surface curvature of steel tube straightener and its contact line equation with steel tube can also be easily obtained from the general formula derived in this paper.