多弹性支承-轴向运动导纱梳栉的振动模型

doi:10.13475/j.fzxb.20190102907

纺织学报 ›› 2020, Vol. 41 ›› Issue (02): 136-142.doi: 10.13475/j.fzxb.20190102907

多弹性支承-轴向运动导纱梳栉的振动模型

苏柳元¹, 孟婥¹(), 王亚诚¹, 葛晓逸², 张玉井¹

1.东华大学机械工程学院, 上海 201620
2.福建屹立智能化科技有限公司, 福建莆田 351146

收稿日期:2019-01-14 修回日期:2019-10-09 出版日期:2020-02-15 发布日期:2020-02-21
通讯作者: 孟婥
作者简介:苏柳元(1990—),女,博士生。主要研究方向为经编机械动力学、优化设计。
基金资助:
中央高校基本科研业务费专项资金资助项目(CUSF-DH-D-2017061);福建省“百人计划”项目(20180409)

Vibration model of elastically-supported axially moving guide bar

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

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

摘要/Abstract

摘要：

针对经编机导纱梳栉由于弯曲振动造成导纱针与舌针摩擦的问题,基于连续梁理论从静态和动态方面建立了导纱梳栉的振动模型。通过能量法获得导纱梳栉的振动方程,通过边界条件和连续性条件获得导纱梳栉的特征方程和模态函数。在静态情况下,研究了不同材料和支承刚度对导纱梳栉固有频率和振型的影响;在动态情况下,研究了轴向速度、加速度和横移时间对导纱梳栉固有频率的影响。研究结果表明,材料和支承刚度对导纱梳栉振动的影响显著,而速度、加速度和横移时间的影响较小。研究结果可为减小导纱梳栉的弯曲振动和优化经编机的横移系统提供参考。

关键词: 多弹性支承, 轴向运动, 导纱梳栉, 振动模型, 连续梁

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

中图分类号:

TH113.1

苏柳元, 孟婥, 王亚诚, 葛晓逸, 张玉井. 多弹性支承-轴向运动导纱梳栉的振动模型[J]. 纺织学报, 2020, 41(02): 136-142.

SU Liuyuan, MENG Zhuo, WNAG Yacheng, GE Xiaoyi, ZHANG Yujing. Vibration model of elastically-supported axially moving guide bar[J]. Journal of Textile Research, 2020, 41(02): 136-142.

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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

固有频率/Hz	支承刚度K_k/(kN·m^-1)
固有频率/Hz	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

多弹性支承-轴向运动导纱梳栉的振动模型

Vibration model of elastically-supported axially moving guide bar

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