Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (05): 159-166.doi: 10.13475/j.fzxb.20190706608

• Machinery & Accessories • Previous Articles     Next Articles

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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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

CLC Number: 

  • TH112

Fig.1

Working principle of modulator"

Fig.2

Working principle of eccentric mechanism,motion transmission mechanism and heald frame"

Fig.3

Schematic diagram of eccentric mechanism, motion transmission mechanism and heald frame"

Fig.4

Schematic diagram of modulator"

Tab.1

Physical parameters and geometric dimensions of shedding mechanism"

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 — — — —

Fig.5

Conversely obtained cam profiles."

Fig.6

Comparison of heald frame motion characteristics generated by noncentral symmetrical cam and 11th curves. (a) Normalized displacement and dimensionless velocity;(b) Dimensionless acceleration and jerk"

Fig.7

Swam behavior of convergence. (a) Initial state;(b)500 iterations; (c) 1 000 iterations; (d) 5 000 iterations"

Tab.2

Correction factor and objective function result"

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

Fig.8

Comparison of cam profiles before and after reconstruction"

Fig.9

Comparison of heald frame motion characteristics generated by reconstruction and mapping cam. (a) Normalized displacement and dimensionless velocity;(b) Dimensionless acceleration and jerk"

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