Study on Bifurcation Characteristics and Control of the Mass-Spring-Belt Friction Self-Excited Vibration System

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (15) : 28-32.

LI Xiao-peng, SUN De-hua, YUE Bing, WANG Dan, WEN Bang-chun

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Abstract

In order to deeply study the non-smooth dynamic mechanism of self-excited vibration, the friction self-excited vibration system model containing the Stribeck friction model is established, which is a nonlinear dynamical mass-spring-belt model. Secondly, the bifurcation characteristics of the system under different parameters are analyzed by using numerical simulation method. The results show that feed speed, damping coefficient and ratio of dynamic-static friction coefficient are the main factors affecting the system motion state. Quasi-period fluctuation happened in low feed speed region and the supercritical Hopf bifurcation appeared at the system when the feed speed is 0.4944. The system appeared to be the similar rules with different damping coefficient and ratio of dynamic-static friction coefficient. Thirdly, the Washout filter method is designed to control the bifurcation phenomenon existed in the system. By contrast the phase diagrams pre and post, results show that the amplitude of controlled system is reduced and the topology is improved obviously after introducing the Washout filter. All demonstrate adding Washout filter into the system to control the bifurcation phenomenon is a more effective method.

Key words

self-excited vibration

/ friction model / washout filter / bifurcation control

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LI Xiao-peng, SUN De-hua, YUE Bing, WANG Dan, WEN Bang-chun. Study on Bifurcation Characteristics and Control of the Mass-Spring-Belt Friction Self-Excited Vibration System[J]. Journal of Vibration and Shock, 2015, 34(15): 28-32

References

[1] 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. 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.)
[2] Den Hartog J. P. Forced vibration with combined coulomb and viscous friction [J]. Transactions of the ASME, APM, 1997, 53(9): 107-115.
[3] 孔祥臻，王勇，蒋守勇. 基于Stribeck模型的摩擦颤振补偿[J]. 机械工程学报，2010，46(5): 68-73.
(Kong Xiang-zhen, Wang Yong, Jiang Shou-yong. Friction chatter-compensation based on Stribeck model [J]. Journal of Mechanical Engineering, 2010, 46(5): 68-73.)
[4] Karnopp, D. Computer simulation of stick slip friction in mechanical dynamic systems [J]. ASME Journal of Dynamic Systems, Measurement and Control, 1985, 107(1): 100-103.
[5] Dahl, P. R. Measurement of solid friction parameters of ball bearings [J]. Proceedings of the 6th Annual Symposium on Incremental Motion Control Systems and Devices, 1977: 49-60.
[6] Canudas De Wit, C., Olsson, H., Astrom, K. J., Lischinsky, P. A new model for control of systems with friction [J]. IEEE Transactions on Automatic Control, 1995, 40(3): 419-425.
[7] Feeny, B., Moon, F. C. Chaos in a forced dry-friction oscillator: experiments and numerical modeling [J]. Journal of Sound and Vibration, 1994, 170(3): 303-323.
[8] Gdaniec, P., Weiss, C., Hoffmann, N. P. On chaotic friction induced vibration due to rate dependent friction [J]. Mechanics Research Communications, 2010, 37(1): 92-95.
[9] Pascal, M. New limit cycles of dry friction oscillators under harmonic load [J]. Nonlinear Dynamics, 2012, 70(2): 1435-1443.
[10] 黄彩虹. 高速车辆减振技术研究[D]. 成都：西南交通大学，2012.