Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (02): 136-142.doi: 10.13475/j.fzxb.20190102907

• Machinery & Accessories • Previous Articles     Next Articles

Vibration model of elastically-supported axially moving guide bar

SU Liuyuan1, MENG Zhuo1(), WNAG Yacheng1, GE Xiaoyi2, ZHANG Yujing1   

  1. 1. College of Mechanical Engineering, Donghua University, Shanghai 201620, China
    2. Yili Intelligent Technology Co., Ltd., Putian, Fujian 351146, China
  • Received:2019-01-14 Revised:2019-10-09 Online:2020-02-15 Published:2020-02-21
  • Contact: MENG Zhuo E-mail:mz@dhu.edu.cn

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Abstract:

Aiming at the friction problem between guide needle and latch needle caused by the bending vibration of guide bars in a warp knitting machine, the vibration model of the thread guide bar was established from static and dynamic perspectives based on the continuous beam theory. The vibration equation of the guide bar was obtained by energy method, and the characteristics equation and mode function were built based on the boundary conditions and continuity conditions. In the case of static loading, the effects of materials and support stiffness on the frequencies and mode shapes were investigated. When the dynamical loading was considered, the effects of axial velocity, acceleration, and the transverse time on the natural frequencies were evaluated. The study shows that the influences of the materials and support stiffness are significant, while the influences of the velocity, acceleration, and transverse time are small, which provide reference for reducing the bending vibration of guide bar and optimizing the guide bar shogging system in the warp knitting machine.

Key words: multi-elastically-supported, axially-moving, guide bar, vibration model, continuous beam

CLC Number: 

  • TH113.1

Fig.1

Structural schematic diagram of guide bar shogging system"

Fig.2

Elastically-supported beam"

Tab.1

First natural frequency of guide bar with different materials"

梳栉材料 密度/
(kg·m-3)		 弹性模量/
GPa		 第一阶固有
频率/Hz
铝合金 2 730 69 113.83
镁铝合金 1 800 45 113.23
碳纤维复合材料 1 950 210~300 234.75~280.40

Tab.2

First three natural frequencies with different supports stiffness"

固有频
率/Hz		 支承刚度Kk/(kN·m-1)
2 000 4 000 8 000 20 000 100 000
第一阶 110.18 112.51 113.28 113.66 113.84
第二阶 126.14 131.38 133.72 135.06 135.76
第三阶 130.58 143.38 150.72 155.25 157.67

Fig.3

First three mode shapes of guide bar with different support stiffness"

Fig.4

Model of elastically supported axially moving beam"

Fig.5

1st natural frequency vs axial velocity"

Fig.6

1st natural frequency vs axial acceleration"

Fig.7

Constant-acceleration and constant-deceleration motion mode of guide bar"

Fig.8

1st natural frequency vs translation time"

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