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四辊卷板机卷制椭圆柱面控制的数学模型
英文标题:Mathematical model of bending process control of elliptic cyclic in a four-roller bending machine
作者:徐兆军 马晨波 
单位:南京林业大学 
关键词:四辊卷板机 椭圆柱面 数学模型 
分类号:TG333.25
出版年,卷(期):页码:2013,38(1):108-110
摘要:

目前椭圆柱面的卷制是将先将卷制的柱面卷制成圆柱面,再利用压机将其压制成椭圆柱面,压制后的柱面回弹较大,椭圆的形状难以精准控制,四辊卷板机上、下辊与两侧辊的位置关系决定了所要卷制柱面的曲率半径。本文建立了各辊的工作位置与欲卷制曲率的模型,实时计算椭圆各点的弧长与曲率,进而根据弧长和曲率实时控制侧辊的位移来实现椭圆的卷制。该模型已经在实际生产中应用,能够较好的卷制出椭圆柱面。

The present bending process of elliptic cyclical surface is bended into a cylinder first, and then pressed into an elliptic cyclic by a pressing machine. However, the elliptic shape can not be controlled accurately because the bigger elliptic cyclic rebound after pressing. The curvature radius of the elliptic cyclic needed is determined by the position of the upper, bottom and the two side rollers. The model of each roller`s position and the wanted curvature were built, and the arc length and curvature at each point of the ellipse were real-time calculated, thus the bending process was achieved by the real-time control of the two side rollers displacement according to their arc length and curvature. The model was practically applied in the four-roller bending machine, and the elliptic cyclic could be perfectly and accurately bended.

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