标题：Investigation on Bifurcation and Chaos Control for a Spur Pair Gear System with and Without Nonlinear Suspension
作者：Xia, Yan ;Wan, Yi ;Chen, Tao
作者机构：[Xia, Yan ;Wan, Yi ;Chen, Tao ] Shandong University, Key Laboratory of High Efficiency and Clean Mechanical Manufacture, School of Mechanical Engineer 更多
会议名称：37th Chinese Control Conference, CCC 2018
会议日期：25 July 2018 through 27 July 2018
来源：Chinese Control Conference, CCC
关键词：Bifurcation; Chaos control; Gear system; Non-linear suspension
摘要：A nonlinear dynamic model of a spur pair gear system is proposed, which considers gear backlash, static transmission error, meshing stiffness and so on. The dynamic behaviors of the system with and without nonlinear suspension are respectively investigated through Runge- Kutta numerical integration method, in which the damping coefficient and support stiffness are chosen as the control parameters. The motions of system are identified by using bifurcation diagram, phase portrait and Poincare map. The research results reveal that with the change of control parameters, the system undergoes different motion forms consisting of period-one, multi-period, quasi-period, even chaotic motions. Under nonlinear suspension, the system gets more complex dynamic responses than those under linear suspension, which reveals that the model with nonlinear suspension represents the practical gear system accurately. The study could provide some theoretical guide for analysis of bifurcation characteristics, chaos control and system parameter optimization. © 2018 Technical Committee on Control Theory, Chinese Association of Automation.