Journal of Textile Research ›› 2019, Vol. 40 ›› Issue (01): 142-146.doi: 10.13475/j.fzxb.20171005205

• Machinery & Accessories • Previous Articles     Next Articles

Sensitivity analysis on kinematic accuracy of needle bar mechanism in embroidery machine

GUO Huixin(), ZHANG Ganqing   

  1. School of Mechanical and Electrical Engineering, Changsha University, Changsha, Hunan 410003, China
  • Received:2017-10-17 Revised:2018-10-12 Online:2019-01-15 Published:2019-01-18

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Abstract:

In order to improve the kinematic precision and its robustness of the needle bar mechanism in the embroidery machine, the global sensitivity analysis on the kinematic accuracy of this mechanism was carried out by using the Sobol' method. On the basis of global sensitivity analysis, the optimum design of the needle bar mechanism was carried out. Firstly, considering the effect of rod manufacturing error and kinematic pair clearance on the needle bar displacement, a numerical model for kinematic accuracy analysis of needle bar mechanism was established. Then, the total sensitivity of 14 random variables was obtained by using the Sobol' global sensitivity analysis method, and 4 important factors and 1 key factor were determined according to the order of sensitivity, in which the length of the connecting rod is the key factor. By reducing the manufacturing error of the key factor, the kinematic accuracy of the needle bar mechanism was further optimized. The results show that the standard deviation of the displacement error of the needle bar mechanism is reduced obviously, and the robustness of the motion accuracy is improved.

Key words: embroidery machine, needle bar mechanism, kinematic accuracy, sensitivity, numerical model

CLC Number: 

  • TS103.3

Fig.1

Schematic diagram of needle bar mechanism"

Tab.1

Influence factors and distribution rules of needle bar motion precision"

变量 几何量 均值 分布区间 标准差 分布类型
x1 s1 μ1 μ1±0.031 0.031/3 正态
x2 s2 μ2 μ2±0.021 0.021/3 正态
x3 s3 μ3 μ3±0.037 0.037/3 正态
x4 l AB μ4 μ4±0.018 0.018/3 正态
x5 lBC μ5 μ5±0.037 0.037/3 正态
x6 l DC μ6 μ6±0.026 0.026/3 正态
x7 l DE μ7 μ7±0.037 0.037/3 正态
x8 l EF μ8 μ8±0.026 0.026/3 正态
x9 ra 0.007 [0.002,0.012] 0.001 7 正态
x10 rb 0.007 [0.002,0.012] 0.001 7 正态
x11 rc 0.008 5 [0.002 5,0.014 5] 0.002 正态
x12 rd 0.008 5 [0.002 5,0.014 5] 0.002 正态
x13 re 0.008 5 [0.002 5,0.014 5] 0.002 正态
x14 rf 0.008 5 [0.002 5,0.014 5] 0.002 正态
z1 δa — [0, 360°] — 均匀
z2 δb — [0, 360°] — 均匀
z3 δc — [0, 360°] — 均匀
z4 δd — [0, 360°] — 均匀
z5 δe — [0, 360°] — 均匀
z6 δf — [0, 360°] — 均匀

Fig.2

Bar chart of total sensitivities before optimization"

Fig.3

Bar chart of total sensitivities after optimization"

Fig.4

Mean values of needle bar motion error before and after optimization"

Fig.5

Mean square deviation of needle bar motion error before and after optimization"

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