标题：Bifurcation and chaos analysis for a spur gear pair system with friction
作者：Xia, Yan; Wan, Yi; Liu, Zhanqiang
作者机构：[Xia, Yan; Wan, Yi; Liu, Zhanqiang] Shandong Univ, Key Lab High Efficiency & Clean Mech Manufacture, Minist Educ, Sch Mech Engn, Jinan, Shandong, Peop 更多
通讯作者：Wan, Y;Wan, Y;Wan, Yi
通讯作者地址：[Wan, Y]Shandong Univ, Key Lab High Efficiency & Clean Mech Manufacture, Minist Educ, Sch Mech Engn, Jinan, Shandong, Peoples R China;[Wan, Y]Shandong 更多
来源：JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
关键词：Gear pair system; Nonlinear dynamics; Tooth face friction; Bifurcation;; Chaos; Dynamic load
摘要：Considering time-varying meshing stiffness, gear backlash, static transmission error and tooth face friction, a nonlinear dynamic model for a spur gear pair is proposed to research systematically the dynamic behaviors of system, in which the meshing stiffness of gear pair is deduced and calculated in terms of the extending period method. Meanwhile, the sliding friction force under single-tooth and double-tooth meshing regions is constructed as a function of the meshing principle. Based on the developed model, the bifurcation and chaos characteristics of system under lightly and heavily loaded conditions are studied, respectively, by applied Runge-Kutta numerical method, and the parametric effects of rotational speed, damping ratio and gear backlash on the dynamic behaviors are investigated detailedly. Bifurcation diagram, three-dimensional frequency spectrum, time-domain waveform, frequency plot, phase diagram, Poincare map and dynamic load are used to discuss and determine motion states and dynamic responses of system. The numerical results represent that with the change of control parameters the system undergoes various types of motion states under different loaded conditions. The corresponding meshing contact states of tooth pair are transformed among no impact, single-sided impact and double-sided impact. The research results can provide certain guidance for choosing suitable parameter values to reduce the amplitude of vibration and even avoid the chaotic response in gear system.