纺织学报 ›› 2022, Vol. 43 ›› Issue (11): 172-178.doi: 10.13475/j.fzxb.20210800207

• 机械与器材 • 上一篇    下一篇

变速引纬规律驱动下剑带变长度非线性振动建模及其响应

袁汝旺1,2(), 车一骋1,2   

  1. 1.天津工业大学 机械工程学院, 天津 300387
    2.天津工业大学 天津市现代机电装备重点实验室, 天津 300387
  • 收稿日期:2021-08-02 修回日期:2022-07-27 出版日期:2022-11-15 发布日期:2022-12-26
  • 作者简介:袁汝旺(1979—),男,副教授,博士。主要研究方向为纺织机械设计与机构学。E-mail:yuanruwang@tiangong.edu.cn
  • 基金资助:
    天津市自然科学基金项目(18JCYBJC20200);“纺织之光”中国纺织工业联合会应用基础研究项目(J202003)

Modeling and response of variable longitudinal nonlinear vibration of rapier belt driven by variable speed weft insertion patterns

YUAN Ruwang1,2(), CHE Yicheng1,2   

  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
  • Received:2021-08-02 Revised:2022-07-27 Published:2022-11-15 Online:2022-12-26

摘要:

为深入研究不同变速引纬规律驱动下剑带纵向振动对工艺的影响,针对变速引纬规律设计,提出基于余弦级数的引纬参数化建模方法;同时对受驱动力作用下变长度、变速运动剑带的非线性动力学研究,基于有限元法建立变长度项的剑带受迫振动模型,可知其系统质量、刚度、阻尼项均与剑带长度有关。分析不同加速度参数下引纬规律对剑带运动特性、纵向振动与工艺影响,结果表明:剑带初始加速度与负向加速度峰值是影响引纬工艺的关键参数。剑带速度与加速度峰值、进梭口时间、内应力峰值随初始加速度增加而减小;剑带握持纬纱与进梭口时振动则随负向加速度峰值增加而增加;合理调控关键参数,能协调打纬、引纬与开口等工艺时序及动态特性。

关键词: 剑带, 纵向振动, 变速引纬, 变长度, 非线性

Abstract:

This paper mainly studies the influence of the longitudinal vibration of the rapier belt driven by different variable-speed weft insertion patterns on the weft insertion process. For designing a variable speed weft insertion pattern, a parametric modeling method of weft insertion based on cosine series was proposed. In parallel, for the nonlinear dynamics of variable length and variable speed moving rapier belt under the action of driving force, the forced vibration model of variable length rapier belt was established based on the finite element method. The system mass, stiffness and damping terms were found to be related to the length of rapier belt. The effects of weft insertion pattern on the motion characteristics, longitudinal vibration and process of rapier belt under different acceleration parameters were analyzed. The results show that the initial acceleration and peak negative acceleration of rapier belt are the key parameters affecting the weft insertion process. The peak value of the speed and acceleration of the rapier belt, the time of entering the shed and the peak value of the internal stress would decrease with the increase of the initial acceleration. When the rapier belt holds the weft and enters the shed, the vibration increases with the increase of the peak value of negative acceleration. Reasonable regulation of key parameters can coordinate the process timing and dynamic characteristics of beat-up, weft insertion and shedding.

Key words: rapier belt, longitudinal vibration, variable speed weft insertion, variable length, nonlinear

中图分类号: 

  • TS103

图1

剑带引纬简图 1—剑头;2—剑带;3—剑带轮"

图2

剑头位移示意图"

图3

不同时刻剑带有限元模型"

图4

单元受力变形图"

图5

单元本构模型"

图6

不同f″(0)下的引纬运动特性"

表1

不同f″(0)下引纬特性值"

f″(0) θk/(°) vmax/( m·s-1) amax/( m·s-2)
0 60 58.6 2489
0.2 50 49.2 1896
0.4 40 40.4 1623

图7

不同f″(0)下的位移响应"

图8

不同f″(0)下的速度响应"

图9

不同f″(0)下的加速度响应"

图10

不同f″(1)下的加速度响应"

表2

不同f″(1)下振动特性"

f″(1) θmax/(°) Δx″/( m·s-2)
θk=60° θs=35°
-0.65 115 ±188 14
-0.45 101 ±207 18
-0.25 91 ±235 41
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