纺织学报 ›› 2020, Vol. 41 ›› Issue (05): 159-166.doi: 10.13475/j.fzxb.20190706608

• 机械与器材 • 上一篇    下一篇

多臂机旋转变速机构凸轮廓线建模与重构

肖志涛1,2, 尹洪环3, 于鸿彬2,3, 蒋秀明2,3, 邵宏宇4   

  1. 1.天津工业大学 电子与信息工程学院, 天津 300387
    2.天津工业大学 天津市现代机电装备技术重点实验室,天津 300387
    3.天津工业大学 机械工程学院, 天津 300387
    4.天津大学 机械工程学院, 天津 300072
  • 收稿日期:2019-07-29 修回日期:2020-01-16 出版日期:2020-05-15 发布日期:2020-06-02
  • 作者简介:肖志涛(1971—),男,教授,博士。主要研究方向为纺织机械智能信号处理技术与系统。
  • 基金资助:
    国家重点研发计划项目(2017YFB1104202)

Modeling and reconstruction of cam profile for dobby modulator

XIAO Zhitao1,2, YIN Honghuan3, YU Hongbin2,3, JIANG Xiuming2,3, SHAO Hongyu4   

  1. 1. School of Electronics and Information Engineering, Tiangong University, Tianjin 300387, China
    2. Key Laboratory of Advanced Mechatronics Equipment Technology, Tiangong University, Tianjin 300387, China
    3. School of Mechanical Engineering, Tiangong University, Tianjin 300387, China
    4. College of Mechanical Engineering,Tianjin University, Tianjin 300072, China
  • Received:2019-07-29 Revised:2020-01-16 Online:2020-05-15 Published:2020-06-02

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摘要：

为提高旋转式多臂机的运动可靠性,对其旋转变速机构凸轮廓线进行建模求解,并运用粒子群算法进行凸轮廓线重构。首先,研究了旋转变速机构凸轮廓线数学模型构建方法,确定综框运动特性的多项式表达;其次,建立求解旋转变速机构凸轮廓线数学模型,获得基于综框运动特性的凸轮廓线,并建立多臂机提综机构数字样机,进行验证分析;最后,运用粒子群算法进行凸轮廓线重构方法研究,依据所构建的凸轮廓线逆向分析系统重构凸轮廓线。结果表明:提出的旋转变速机构凸轮廓线的数学求解方法,可基于粒子群算法进行凸轮廓线重构,显著提高凸轮廓线中心对称度。

关键词: 多臂机, 粒子群, 凸轮廓线, 建模与重构, 综框, 运动特性

Abstract:

In order to improve the motion reliability of rotary dobby, mathematical modeling of cam profile for dobby modulators was established, and the particle swarm optimization algorithm was used to reconstruct the cam profile. Firstly, the mathematical model construction method for the cam profile was studied to determine the polynomial expression for the heald frame motion characteristics. Secondly, the mathematical model for the cam profile was established, and the cam profile based on the motion characteristics of the heald frame was obtained. The digital prototype of the dobby was used for verification analysis. Finally, the particle swarm optimization algorithm was used to study the cam profile reconstruction method, and the cam profile was reconstructed according to the cam profile reverse analysis system. The research shows that the mathematical method for solving the cam profile of the dobby modulator has led to the cam profile reconstruction, and the central symmetry of the cam profile is improved. This meets the heald frame motion characteristics and provides a new and effective way to optimize the shedding mechanism for weaving machines.

Key words: dobby, particle swarm, cam profile, modeling and reconstruction, heald frame, motion characteristics

中图分类号: 

  • TH112

图1

旋转变速机构工作原理"

图2

偏心机构、运动传递机构和综框工作原理 13—偏心盘凸轮;14—环形连杆;15—提综臂;16—提综臂连杆;17—转臂;18—转臂连杆;19—综框连杆;20—支撑连杆;21—综框。"

图3

偏心机构、运动传递机构和综框简图"

图4

旋转变速机构简图"

表1

提综机构的物理参数和几何尺寸"

运动传递机构 偏心机构 旋转变速机构
参数 数值 参数 数值 参数 数值
lHI/mm 375 lO1O2/mm 192 lO1C/mm 111
lO3H/mm 200 lO2E/mm 96 lO1B/mm 43
lO2O3/mm 695 lDE/mm 170 lBA/mm 81
lO3G/mm 150 lO1D/mm 30 lAC/mm 56
lFG/mm 550 φ5/(°) 100 r/mm 31
lO2F/mm 185 — — — —
e/mm 200 — — — —
S0/mm 325 — — — —
φ9/(°) 98 — — — —

图5

逆向求解获得凸轮廓线"

图6

非中心对称凸轮产生的综框运动特性与11次曲线比较"

图7

粒子收敛的群体行为"

表2

修正系数与目标函数结果"

迭代次数 a b c 目标函数值
0 — — — 25 727.20
200 0.602 0.553 -0.155 14 583.06
400 0.843 0.550 -0.393 5 252.19
600 0.922 0.546 -0.468 2 007.61
800 0.950 0.544 -0.495 837.76
1 000 0.962 0.544 -0.506 324.61
1 200 0.968 0.544 -0.512 91.33
1 400 0.969 0.543 -0.512 39.06
1 600 0.969 0.544 -0.513 32.33
1 800 0.970 0.543 -0.513 31.51
2 000 0.970 0.543 -0.513 31.51
5 000 0.970 0.543 -0.513 31.51

图8

重构前后凸轮廓线比较"

图9

重构与测绘凸轮产生的综框运动特性比较"

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