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尽管周期式冷轧管机被大力采用,但在文献中还没有探讨过关于这种轧机中所产生的作用力的计算理论问题。为决定在“洛克拉特”冷轧管机中作用力的大小及方向我们分析一下轧制过程的运动学。因为轧辊是借助安装在其轴上的齿轮与一固定齿条经常啮合,所以轧辊上各点的速度可用图1中之图形表示。轧辊工作表面之速度与孔型表面上所探讨之点至齿条分齿线CD之距离有关并等于v_(工作)=(v_机)/(r_0)y (1)式中 v_机——机架的移动速度;r_0——与齿条啮合的齿轮节圆半径。由于r_0大于孔型槽底之半径,小于轧辊之名义半径(即轧辊中心至管材中心线EF之距离,因此根据被轧制金属移动的速度不同,接触面上可能出现一些区段(区域),在这些区段内可能出现如下轧制条件:
Although periodic cold rolling mills have been strongly employed, no computational theory has yet been explored in the literature regarding the forces that occur in such rolling mills. In order to determine the magnitude and direction of the forces in the “Lockheed” cold rolling mill, we analyze the kinematics of the rolling process. Because the rolls are constantly meshed with a fixed rack by means of a gear mounted on their shaft, the speed at each point on the rolls can be represented graphically in FIG. The speed of the working surface of the roll is related to the distance from the point on the hole surface to the score CD of the rack and is equal to v_ (work) = (v_ machine) / (r_0) y (1) where v_ machine - - the moving speed of the rack; r_0 - the pitch radius of the gear meshing with the rack. Since r_0 is larger than the radius of the groove bottom and is smaller than the nominal radius of the roll (ie, the distance from the center of the roll to the tube centerline EF), some sections (areas) may appear on the contact surface depending on the speed at which the rolled metal moves. The following rolling conditions may appear in these sections: