• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2017, Vol. 53 ›› Issue (5): 116-127.doi: 10.3901/JME.2017.05.116

• 机械动力学 • 上一篇    下一篇

结合面形貌特性对模态耦合不稳定系统的影响*

李小彭1, 潘五九1, 高建卓1, 李树军1, 赵光辉2, 闻邦椿1   

  1. 1. 东北大学机械工程与自动化学院 沈阳 110819;
    2. 洛阳矿山机械工程设计研究院有限责任公司 洛阳 471000
  • 出版日期:2017-03-05 发布日期:2017-03-05
  • 作者简介:

    李小彭(通信作者),男,1976年出生,教授,博士研究生导师。主要研究方向为机械动力学、振动摩擦耦合动力学。

    E-mail:xpli@me.neu.edu.cn

  • 基金资助:
    * 国家自然科学基金(51275079,51575091)和辽宁百千万人才 (2014921018)资助项目; 20160308收到初稿,20160820收到修改稿;

Influence of Surface Topography Characteristics on
Mode Coupling Instability System

LI Xiaopeng1, PAN Wujiu1, GAO Jianzhuo1, LI Shujun, WEN Bangchun1   

  1. 1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819;
    2. Luoyang Mining Machinery Engineering Design Institute Co., Ltd., Luoyang 471000
  • Online:2017-03-05 Published:2017-03-05

摘要:

针对目前结合面微观形貌特性对由摩擦和系统结构双重引起的模态耦合系统的稳定性影响的理论研究缺少,尝试从微观角度解释结合面形貌对宏观系统的动态特性影响。基于分形理论建立结合面形貌较为准确的法向、切向接触刚度模型;以车辆制动盘为对象,将所建立的分形接触刚度模型引入其中,建立一个两自由度的典型模态耦合模型;研究了结合面切向与法向的刚度比、摩擦因数和固有频率比对系统稳定和不稳定区的影响,以及系统出现不同频率噪声的条件。研究可知,形貌参数是结合面产生振动噪声的主要影响因素;结合面形貌特性不同,系统产生振动噪声的频率和条件也不同。这些结论有助于更深入地研究结合面形貌特性对宏观系统的影响;同时可为工程设计制造合适结合面形貌提供参考,具有一定的工程意义。

关键词: 不稳定, 结合面形貌, 模态耦合, 摩擦振动, 分形理论

Abstract:

Aiming at the lack of theoretical research with the surface morphology characteristics affect the stability of modal coupling system by friction and the structure of the system caused. An attempt is to explain the dynamic characteristics of the macroscopic system from the microscopic view. The more accurate model of normal and tangential contact stiffness of surface topography is established based on fractal theory. With the vehicle brake disc as the object, a typical mode coupling model with two degrees of freedom is presented and the fractal contact stiffness model is introduced. The influence of the tangential and normal stiffness ratio, friction coefficient, and the natural frequency ratio on the stability of system and the conditions of the different frequency noise arise are studied. It is concluded that these contact topography parameters are the main factors to influence the vibration noise ; the vibration noise condition and the frequency of the system are different with the different characteristics of the surface topography. The conclusions obtained may help us more deeply understand the influence of the surface topography on the macroscopic system. At the same time, it can provide reference for engineering design and manufacture, and has a certain engineering significance.

Key words: friction-induced vibration, instability, joint surface topography, mode coupling, fractal theory