结合面接触阻尼对模态耦合系统不稳定性影响

潘五九,李小彭,王雪,高建卓,李木岩,闻邦椿

振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 16-20.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 16-20.
论文

结合面接触阻尼对模态耦合系统不稳定性影响

  • 潘五九,李小彭,王雪,高建卓,李木岩,闻邦椿
作者信息 +

Effect of contact damping of joint surfaces on the instability of mode-coupling system

  • LI Xiao-peng, PAN Wu-jiu, WANG Xue, GAO Jian-zhuo, LI Mu-yan, WEN Bang-chun
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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)。

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).

关键词

结合面 / 分形理论 / 接触阻尼 / 模态耦合 / 不稳定

Key words

 joint surfaces / fractal theory / contact damping / mode-coupling / instability

引用本文

导出引用
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[J]. Journal of Vibration and Shock, 2017, 36(17): 16-20

参考文献

[1]   Ouyang O, Mottershead J, Li W. A moving-load model for disc brake stability analysis[J]. Transactions of ASME Journal of Vibration and Acoustics, 2003,125(1):53-58.
[2]   Heckl M, Abrahams I. Curve squeal of train wheels, part I: mathematical model for its generations[J]. Journal of Sound and Vibration, 2000,229(3):669-693.
[3]  Beer F, Janssens M, Kooijman P. Squeal noise of rail-bound vehicles influenced by lateral contact position[J]. Journal of Sound and Vibration, 2003,267(3):497-507.
[4]   Ibrahim R. Friction-induced vibration, chatter, squeal and chaos: Part I: Mechanics of contact and friction[J]. ASME Appl. Mech. Rev, 1994,47(7):209-226.
[5]   Ibrahim R. Friction-induced vibration, chatter, squeal, and chaos, Part 2: Dynamics and modeling[J]. Applied Mechanics Review, 1994,47(7):227-253.
[6]   Spurr R T. A Theory of Brake Squeal[J]. Proceedings of the Institution of Mechanical Engineers Automobile Division, 1961, 1961(1961):33-52.
[7]   Hoffmann N, Fischer M, Allgaier R. A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations[J]. Mechanics Research Communications, 2002,29(4):197-205.
[8]   Chen G X, Zhou Z R. Experimental observation of the initiation process of friction-induced vibration under reciprocating sliding conditions[J]. Wear, 2005, 259(1):277-281.
[9]  Eriksson M, Bergman F, Jacobson S. Surface characterization of brake pads after running under silent and squealing conditions[J]. Wear, 1999, 232(2):163-167.
[10]  Sherif H A. Investigation on effect of surface topography of pad/disc assembly on squeal generation[J]. Wear, 2004, 257(7):687–695.
[11]  Eadie D T, Kalousek J, Chiddick K C. The role of high positive friction (HPF) modifier in the control of short pitch corrugations and related phenomena[J]. Wear, 2002, 253(1–2):185-192.
[12]  李小彭, 赵光辉, 杨皓天等. 考虑结合面影响的组合梁非线性预应力模态分析[J]. 振动与冲击, 2014(4):17-21.
LI Xiao-peng, ZHAO Guang-hui, YANG Hao-tiang et al. Nonlinear pre-stressed modal analysis for a composite beam considering influence of joint surface[J]. Journal of vibration and shock, 2014(4):17-21.
[13]  李小彭, 孙德华, 岳冰等. 质量-弹簧-带摩擦自激振动系统的分岔特性及其控制研究[J]. 振动与冲击, 2015(15):28-32.
LI Xiao-peng, SUN De-hua, YUE Bin et al. Bifurcation characteristics and control of a mass- spring- belt friction self- excited vibration system[J]. Journal of vibration and shock, 2015(15):28-32.
[14]  Zhang X L, Wang N S, Lan G S, et al. Tangential Damping and its Dissipation Factor Models of Joint Interfaces Based on Fractal Theory With Simulations[J]. Journal of Tribology, 2013, 136(1):249-256.
[15]   张学良, 丁红钦, 兰国生,等. 基于分形理论的结合面法向接触阻尼与损耗因子模型[J]. 农业机械学报, 2013, 44(6):287-294.
ZHANG Xue-liang, DING Hong-qin, LAN Guo-sheng et al. Normal contact damping and dissipation factor model of joint interfaces based on fractal theory[J]. Transactions of the Chinese society for agricultural machinery2013, 44(6):287-294.
[16]   田红亮, 郑金华, 赵春华,等. 界面损耗因子与法向阻尼的计算方法[J]. 上海交通大学学报, 2015(5):687-694.
TIAN Hong-liang, ZHENG Jin-hua, ZHAO Chun-hua, et al. Calculating method of surface dissipation factor and normal damping[J]. Journal of shanghai jiao tong university, 2015(5):687-694.
[17]   田红亮, 严峥嵘, 郑金华,等. 一个新的干摩擦结合部法向接触阻尼方程[J]. 哈尔滨工业大学学报, 2016(1):133-140.
TIAN Hong-linag, YAN Zheng-rong, ZHENG Jin-hua, et al. A novel expression of normal contact damping for dry tribology joint interface[J].Journal of harbin institute of technology, 2016(1):133-140.
[18]  李小彭,王伟,赵米鹊,等.考虑摩擦因素影响的结合面切向接触阻尼分形预估模型及其仿真[J]. 机械工程学报,2012,48(23):46-50.
LI Xiao-peng, WANG Wei, ZHAO Mi-que, et al. Research on fractal prediction model for tangential contact damping of joint surface considering friction factors and its simulation[J]. Journal of Mechanical Engineering, 2012,48(23):46-50.
[19]  Li X P, Yue B, Zhao G H, et al. Fractal Prediction Model for Normal Contact Damping of Joint Surfaces considering Friction Factors and Its Simulation[J]. Advances in Mechanical Engineering, 2014, 2014(2):1-5.
[20]  Sinou J J, Fritz G, Jezequel L. The Role of Damping and Definition of the Robust Damping Factor for a Self-Exciting Mechanism With Constant Friction[J]. Journal of Vibration & Acoustics, 2007, 129(3):297-306.
 

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