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.
李小彭，孙德华，岳冰，王丹，闻邦椿. 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, 34(15): 28-32.
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. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(15): 28-32.
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