纸张在纸道出口的无约束动态变形研究

Unconstrained & Dynamic Deformation of Paper Feeding

目的研究仅在重力作用下纸张进给过程中,在纸道出口处的无约束动态变形。方法建立了纸张通过纸道出口的运动模型,应用非线性方程描述纸张的动态变形,通过数值计算方法对纸张动态变形运动进行了求解,分析了不同速度和出口角度对纸张变形的影响。结果进给速度由100 mm/s增加到500mm/s时,纸张最大曲率由0.0058减小到0.0029,纸张的弯曲变形量随着进给速度的增加而减小;纸张出口角度由20°增加到40°时,纸张下降高度由36.1 mm减小到28.5 mm。结论通过调整纸张进给速度和纸道的出口角度,改变纸张端部的运动位置,为纸张进给过程中准确到达预定位置提供了设计依据。

The unconstrained dynamic deformation of feeding paper at the outlet of the paper path under gravity was studied. Kinematic model was established for the paper passing the paper path outlet. The dynamic deformation of paper was described through nonlinear equations. The dynamic deformation motion of paper was solved by numerical calculation. The effects of different speed and outlet angle on the paper deformation were analyzed. When the feeding speed was increased from 100 mm/s to 500 mm/s, the maximal curvature of paper was reduced from 0.0058 to 0.0029, and the bending deformation of paper decreased with the increasing feeding speed. When the paper outlet angle was increased from 20° to40°, the paper descending height decreased from 36.1 mm to 28.5 mm. The motion position of the paper edge could be changed by adjusting the paper feeding speed and the outlet angle of the paper path, which provided design reference for the accurate pre-estimated positioning of paper feeding.