结合面接触阻尼对模态耦合系统不稳定性影响

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摘要针对目前结合面微观形貌对由摩擦和系统结构双重引起的模态耦合系统不稳定性影响的理论研究缺少，尝试从微观角度解释结合面的接触阻尼特性对宏观系统的影响。首先，对车辆制动盘制动工况进行抽象综合，给出了两自由度系统的物理和数学模型，其中的接触阻尼部分采用给出的接触阻尼分形模型。然后，分别阐释了接触阻尼比、摩擦因数、系统固有频率比及它们间的耦合效应，对系统不稳定的影响。研究方法和结果可更深入地理解结合面接触阻尼对宏观系统的影响，有一定的理论意义；同时在深入理解接触阻尼对系统不稳定的影响下可逆向反推来加工制造合适的结合面参数（分形维数D和分形尺度系数G）。

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	潘五九
	李小彭
	王雪
	高建卓
	李木岩
	闻邦椿

关键词 ：结合面, 分形理论, 接触阻尼, 模态耦合, 不稳定

Abstract：Aiming at the lack of theoretical research with the surface morphology characteristics affect the stability of mode-coupling system by friction and the structure of the system caused. Attempt to explain the influence of contact damping on the macro system from the micro aspects. Firstly, the mathematical model of the two degrees of freedom system is given based on the background of the vehicle brake disc, in which the contact damping part is given by the damping fractal model. Then, we illustrate the influence of contact damping ratio, friction coefficient, system natural frequency ratio and their coupling effect to the unstable system. The research method and results can be more in-depth understanding of the effect of contact damping on the macro system and have a certain theoretical significance; at the same time, in depth understanding of the impact of contact damping on the system instability can be reversed to manufacture the appropriate parameters of joint surfaces (fractal dimension D and fractal scale coefficient G).

Key words： joint surfaces fractal theory contact damping mode-coupling instability

收稿日期: 2016-04-21 出版日期: 2017-08-28

引用本文:

潘五九，李小彭，王雪，高建卓，李木岩，闻邦椿. 结合面接触阻尼对模态耦合系统不稳定性影响[J]. 振动与冲击, 2017, 36(17): 16-20.
LI Xiao-peng, PAN Wu-jiu, WANG Xue, GAO Jian-zhuo, LI Mu-yan, WEN Bang-chun. Effect of contact damping of joint surfaces on the instability of mode-coupling system. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(17): 16-20.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I17/16

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