Journal of Textile Research ›› 2024, Vol. 45 ›› Issue (06): 186-192.doi: 10.13475/j.fzxb.20230404401

• Machinery & Equipment • Previous Articles     Next Articles

Rigid-flexible coupling wear analysis of spatial linkage weft insertion mechanism

LI Bo1,2(), LIU Xuning1,2, GUO Jie1,2, HU Kai3, CHANG Boyan1,2, WEI Zhan1,2   

  1. 1. Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tiangong University, Tianjin 300387, China
    2. School of Aeronautics and Space, Tiangong University, Tianjin 300387, China
    3. Pinggao Group Energy Storage Technology Co., Ltd., Tianjin 300300, China
  • Received:2023-04-24 Revised:2024-03-08 Online:2024-06-15 Published:2024-06-15

Abstract:

Objective In calculating the wear of the kinematic pair in the spatial linkage weft insertion mechanism with clearance, the role and change process of the clearance in the wear process of the hinge clearance cannot be accurately expressed if simply considering the clearance of the flexible hinge or simply consider the flexible deformation of the rod. Therefore, in order to improve the calculation accuracy of clearance impact wear prediction, the influence of various factors on the system motion output should be considered comprehensively, so as to meet the requirements of high speed, light weight and heavy load of the mechanism and improve the operation accuracy of the mechanism.

Method Firstly, combined with the Lankarani-Nikravesh and Bai model, the variable stiffness and damping discontinuous contact impact force model was established. The improved Coulomb friction model was used to describe the friction between the shaft pin and the sleeve of the rotating hinge with clearance mechanism, and the system dynamics was modeled by Lagrange method. Secondly, the spatial linkage was selected as flexible object, and the rigid-flexible coupling dynamics simulation of the spatial linkage weft insertion mechanism was carried out by combining Ansys and Adams methods. Finally, the dynamic simulation response results of the sys-tem were combined with the Archard model.

Results In the rigid-flexible coupling system, the maximum stress of the spatial linkage was distributed near the rotating pair, and the maximum deformation distribution of the unit displacement was also at the hinge point of the two support frames. As the clearance was increased to r = 0.5 mm, the component flexibility failed to effectively alleviate the speed fluctuation caused by the clearance impact during the process of the rapier head sliding out of the shuttle, while in the weft handover process, the component flexibility effectively slowed down the high-frequency fluctuation of the rapier head acceleration. When the clearance r = 0.15 mm, the relative sliding distance showed a higher value in the two working states of weft handover and rapier head return. When the clearance was increasd to r = 0.5 mm, its maximum value did not increase significantly compared with the clearance r = 0.15 mm, although the sliding distance fluctuates greatly in the whole period. When the clearance r=0.15 mm, the maximum wear depth of the motion pair appeared in the vicinity of the spindle rotation angle, this was the same as that when the clearance r=0.01 mm. When the clearance was increased to r=0.5 mm, a large number of wear occurred in a wear calculation cycle with a much increased frequency. In such a case, the wear range was no longer concentrated on the fixed area, while the maximum wear depth did not show significant increase. With the increase of the clearance of the kinematic pair, the maximum value of the clearance impact force also was increased, and the wear depth was increased with the increase of the impact force under different clearance conditions.

Conclusion Compared with the pure rigid body mechanism, the flexibility of the component has a greater influence on the acceleration of the rapier head, which can prevent the yarn from breaking during the handover of the rapier head to a certain extent. In the high speed running process of the spatial linkage weft insertion mechanism, the relative sliding of the joint components with clearance in the impact process mainly occurs in the 'fast forward' and 'quick return' stages of the rapier head. Under the condition of clearance r = 0.15 mm, the maximum amplitude of the acceleration oscillation of the rapier head is reduced by 53.2%. When the clearance rises to r = 0.5 mm, although the wear range increases significantly, the wear depth of the clearance does not increase significantly.

Key words: weft insertion mechanism, contact impact force model, Coulomb frictional force model, rigid-flexible coupling wear, apatial linkage

CLC Number: 

  • TS103.33

Tab.1

Related parameter values"

参数 取值 参数 取值
空间连杆长度/mm 112 空间连杆质量/kg 1.944
十字摇轴长度/mm 320 十字摇轴质量/kg 2.221
平面连杆长度/mm 400 平面连杆质量/kg 0.490
扇齿轮分度圆直径/mm 435 扇齿轮质量/kg 2.121

Fig.1

Flexible process of spatial linkage. (a) Rigid-flexible coupling model; (b) Spatial linkages stress-strain clouds; (c) Spatial linkages unit displacement clouds"

Fig.2

Sword head speed under different clearance and rigid-flexible coupling conditions"

Fig.3

Sword head acceleration under different clearance and rigid-flexible coupling conditions"

Fig.4

Relative sliding distance curve of motion sub. (a)Sliding distance variation rose diagram; (b) Variation curve of sliding distance with spindle rotation angle"

Fig.5

Curves of wear depth with impact force under clearances of 0.01 mm(a), 0.15 mm(b) and 0.5 mm(c)"

Fig.6

Wear of joint at different clearances. (a) Wear depth curve; (b) Clearance circle curve"

Tab.2

Rigid-flexible model wear prediction data"

r=0.01 mm r=0.15 mm r=0.5 mm
转角/
(°)
磨损深
度/μm
转角/
(°)
磨损深
度/μm
转角/
(°)
磨损深
度/μm
0.099 0.000 00 0.125 0.000 00 3.770 0.000 00
20.845 0.000 03 23.920 0.007 53 12.151 0.247 49
39.981 0.000 23 42.145 0.000 07 22.692 0.016 44
59.728 0.011 36 49.346 0.000 37 44.378 1.815 92
77.490 0.076 21 53.276 0.001 65 91.027 2.238 23
87.705 0.118 52 88.822 2.600 87 113.016 0.868 98
108.191 0.086 70 91.210 2.348 44 130.370 1.457 10
123.445 0.038 23 110.749 1.412 12 148.903 0.138 05
139.560 0.007 05 130.464 0.100 54 170.179 1.271 05
156.201 0.000 60 147.427 0.001 84 186.922 0.000 00
173.937 0.000 00 151.597 0.001 59 206.909 1.536 17
194.609 0.000 10 172.509 0.021 56 248.500 2.078 45
212.728 0.002 78 202.990 0.011 41 288.347 3.268 88
230.171 0.023 92 220.009 0.009 32 302.968 0.431 63
253.786 0.143 28 254.972 2.896 62 323.495 2.025 23
280.126 0.069 41 258.018 3.227 28 334.922 0.372 63
294.816 0.026 93 287.478 0.777 27 336.627 0.035 98
313.374 0.003 67 305.652 0.028 89 342.091 0.038 31
335.390 0.002 24 329.571 0.012 93 358.034 1.747 63
359.998 0.010 71 356.162 0.009 74 359.999 1.863 65
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