摘要
考虑滚动轴承非线性赫兹接触和轴承径向间隙以及由支撑刚度变化而产生的VC(Varying Compliance,VC)振动,建立了含碰摩故障的双盘转子-滚动轴承系统动力学模型。运用四阶变步长的龙格-库塔-基尔法获得系统的非线性响应;利用分岔图、最大碰摩力曲线、频谱图以及Poincaré截面图分析系统随转子转速的变化规律;应用简单胞映射方法研究分岔图在发生跳变时系统的吸引子共存问题。分析结果表明:随着转子转速的增加,系统将出现周期运动、拟周期运动和混沌运动;分岔图在发生跳变时,系统存在周期一和周期三吸引子共存现象;该分析结果对系统在不良参数区域时,通过合理控制系统的初值条件而获得理想的系统响应具有重要意义。
A dynamic model of the coupling system of dual-disk rotors and rolling bearings including rub-impact fault was established,which considers the Hertzian nonlinear contact and the radial clearance of rolling bearings and the change in rotor-stator clearance and VC vibration arising due to periodic change of rolling bearings’stiffness.The fourth-order Runge-Kutta-Gill method with varying steps was used to solve the dynamic equation and obtain the model’s vibration response.The effects of rotating speed on system were studied by means of bifurcation diagrams,Poincarémaps,frequency spectrum and maximum rubbing force diagram.A simple cell mapping method was used to study the coexistence of attractors in the bifurcation graph when a transition occurs.The results show that:With the increase of the rotation speed,the system will appear periodic motion,pseudo-periodic motion and chaotic motion.When the bifurcation diagram changes,the system coexists with period one and period three attractors,The research results have important guiding significance for the system to obtain an ideal system response by reasonably controlling the initial value conditions of the system when the system is in the area of bad parameters.
作者
曾旭焱
Zeng Xuyan(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《现代制造工程》
CSCD
北大核心
2020年第8期141-146,共6页
Modern Manufacturing Engineering
关键词
双盘转子-滚动轴承系统
滚动轴承
转子动力学
碰摩
动力学特性
dual-disk rotor and rolling bearing system
rolling bearing
rotor dynamics
rub-impact
dynamic characteristic
