纺织学报 ›› 2017, Vol. 38 ›› Issue (12): 141-149.doi: 10.13475/j.fzxb.20160401509

• 机械与器材 • 上一篇    下一篇

共轭凸轮引纬机构的凸轮轮廓线光顺与反求

  

  • 收稿日期:2016-04-06 修回日期:2017-09-19 出版日期:2017-12-15 发布日期:2017-12-18

Smooth and reverse design of conjugated cams of weft insertion

  • Received:2016-04-06 Revised:2017-09-19 Online:2017-12-15 Published:2017-12-18

摘要:

针对凸轮加工时依靠的测量数据存在误差及凸轮磨损后轮廓曲线损坏变形的情况,提出一种利用共轭凸轮主凸轮的有限测量点对其进行光顺处理和反求副凸轮的方法,并通过MatLab开发了共轭凸轮的光顺和反求软件。利用二阶连续可导的三次样条函数对测量的型值点拟合,得到具有一定曲率要求的凸轮廓线。通过共轭几何关系,进一步求解副凸轮轮廓线。借助UG智能点跟踪及运动仿真得到凸轮从动件的运动规律。为改善从动件运动规律,应用修正梯形加速度规律对从动件运动进行设计,用反转法和包络公式得到共轭凸轮轮廓。经验证,反求凸轮可满足引纬要求,为引纬机构凸轮设计提供参考。

关键词: 引纬机构, 共轭凸轮, 光顺处理, 反求, 凸轮廓线

Abstract:

In consideration of the errors of the measurement data created in the current cam production, and cams’ contour curve deformed damaged after abrasion, a novel  method of smooth and reverse design of conjugated cams in the weft insertion mechanism based on the limited measurement points was presented. In addition, a smooth and reverse software of the conjugate cam was developed using MatLab. Two-order continuous differentiable three spline function was used in this software to fit the data of conjugated cams. The curvature of the new curve was continuous and changes slowly. Geometric-relations were used to obtain the contour curve of the auxiliary cam. The motion laws of cam follower were obtained by UG intelligent point and motion simulation function. In order to improve the motion law of the follower, the modified trapezoid acceleration law was used in the conjugated cams of the weft insertion mechanism. A cam projile is obtained by using  inversion method and the envelope equation. After verification, the reverse cam can satisfy the requirements of weft insertion. It also provides a reference method for the design of the conjugated cams of the weft insertion mechanism.

Key words: weft insertion mechanism, conjugated cam, smooth design, reverse design, contour curve of cam

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