Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (03): 148-153.doi: 10.13475/j.fzxb.20190203106

• Machinery & Accessories • Previous Articles     Next Articles

Vibration damping mechanism and vibration characteristics of spindle tubes

MO Shuai1,2(), FENG Zhanyong1,2, DANG Heyu1,2, ZOU Zhenxing1,2, WANG Diwen3, ZHU Hongwei3   

  1. 1. School of Mechanical Engineering, Tiangong University, Tianjin 300387, China
    2. Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tiangong University, Tianjin 300387, China
    3. Jingwei Intelligent Textile Machinery Co., Ltd., Jinzhong, Shanxi 030600, China
  • Received:2019-02-19 Revised:2019-08-11 Online:2020-03-15 Published:2020-03-27

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Abstract:

In order to explore the damping mechanism of the elastic spindle tube, the spiral groove of the damping tube was assumed to be a rectangular spring in this research. The mathematical model for the bending stiffness and vibration amplitude at the bottom of the tube was established, and the influence of key parameters of the bending stiffness and vibration performance was studied using the MatLab software. The results show that when the groove width and the number of turns are increased, the bending stiffness decreases and vibration amplitude of the vibration of the elastic tube increases. With the increase of wall thickness, pitch, helix angle and elastic modulus, stiffness increases amplitude decreases. Combined with results obtained from finite element simulation and modal test, the natural frequencies of the elastic tubes are obtained, which indicates that the resonance frequency range is consistent with the spindles, and the working frequency effectively avoids the resonance frequency.

Key words: damping elastic tube, spindle, bending stiffness, bottom amplitude, natural frequency

CLC Number: 

  • TS112.2

Fig.1

Flexible tube design module"

Fig.2

Spindles interior system and vibration-damping elastic tube structure"

Fig.3

Rectangular spring (spiral groove part) analysis model"

Fig.4

Simplified model of a rectangular cross-section cylindrical coil spring"

Tab.1

Value of β1 at different Φ values (Φ≥1)"

Φ β1
1.0 0.141
1.2 0.166
1.5 0.196
2.0 0.229
2.5 0.249
3.0 0.263
4.0 0.281
6.0 0.229
8.0 0.307
10.0 0.313
∞ 0.333

Fig.5

Schematic diagram of a rectangular spring cylindrical section"

Fig.6

Schematic diagram of vibration deformation at bottom of elastic tube. (a) Force deformation;(b) Coil spring deformation;(c) Mechanical model"

Fig.7

Relationship between process parameters and bending stiffness of elastic tube. (a) Wall thickness;(b) Slot width;(c) Number of turns;(d) Pitch;(e) Helix angle;(f) Modulus of elasticity"

Fig.8

Relationship between process parameters and bottom amplitude of elastic tube. (a) Wall thickness;(b) Slot width;(c) Number of turns;(d) Pitch;(e) Helix angle;(f) Modulus of elasticity"

Tab.2

Spindles natural frequency valueHz"

类型 一阶 二阶 三阶
理论计算 50 183.33 883.3~983.3
模态测试 — 171.67 766.7~833.3
运转试验 33.33~50 166.7~183.3 —

Tab.3

Elastic tube natural frequencyHz"

阶数 仿真值 测试值
一阶 178.35 168.59
二阶 188.95 182.34
三阶 785.05 760.09
四阶 1 014.10 —
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