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钢管矫直机矫直辊辊形曲线一般采用包络线作图法设计,无数被包络圆的半径(R’)沿辊子轴线是一条双曲线,它绕轴线旋转形成单叶双曲面,这是“双曲线辊”的由来。我们从辊子与钢管在矫直过程中应保持在空间接触的实际出发,抛弃了传统的包络线概念和包络线作图法,采用求简单二元函数条件极值的概念,推导了空间接触曲线、辊形曲线和辊形曲面的数学方程式,证明了辊形曲线不是双曲线,辊形曲面不是单叶双曲面(二次曲面)而是高次曲面。文中同时介绍了辊形曲线(子午线)作图法(椭圆法),对空间接触曲线的长(S)、辊子对钢管的包角(φ)等参数的计算给出了相应的公式。
Tube straightening machine straightening roller roll curve generally use the envelope mapping design, countless envelope radius (R ’) along the roller axis is a hyperbola, which rotates around the axis to form a single leaf hyperboloid, which It is the origin of “hyperbolic roll”. We start from the roller and the steel pipe in the process of straightening the contact should be kept in space reality, abandoned the traditional concept of envelope and envelope mapping method, using the concept of seeking a simple conditional binary extreme function, derived space Mathematical equations of the contact curve, the roll curve and the roll surface prove that the roll curve is not a hyperbola. The roll surface is not a single-leaf hyperboloid (a quadratic surface) but an upper-order surface. In the meantime, the roller curve (meridian) mapping method (ellipse method) is introduced. Corresponding formulas are given for the calculation of the length of the contact curve (S), the roll angle (φ) of the roller and the tube.