滚动轴承-裂纹转子系统动力学特性分析  

Analysis of Dynamic Characteristics of Cracked Rotor System Supported by Rolling Bearings

作　　者：宋传冲 南国防[1] 楼剑阳 SONG Chuanchong;NAN Guofang;LOU Jianyang(School of Energy and Power Engineering,Shanghai University of Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学能源与动力工程学院,上海200093

出　　处：《噪声与振动控制》2021年第6期56-62,共7页Noise and Vibration Control

基　　金：国家自然科学基金重大研究计划资助项目(91852117)。

摘　　要：考虑呼吸型裂纹和非线性赫兹接触力,根据拉格朗日方程建立滚动轴承支承下含横向裂纹的转子系统模型,采用四阶Runge-Kutta方法对裂纹-碰摩耦合故障转子系统的非线性动力学行为进行研究,揭示转速、裂纹深度、裂纹角和定子刚度对系统动力学响应的影响机理。计算结果表明:该系统呈现出多周期、拟周期和混沌等丰富的非线性动力学特性;当裂纹深度增大时,超临界转速区间的拟周期运动转变为多周期和拟周期交替运动;裂纹角变化导致系统的分岔特性产生明显差异,这些差异可作为辅助判断裂纹大致位置的重要依据;定子刚度的增大会导致超临界转速区间分频附近存在伴随成分。Considering the breathing-type crack and the nonlinear Hertz contact force,a rotor system model with lateral crack supported by rolling bearings is established according to the Lagrange equation.The fourth-order Runge-Kutta method is used to study the nonlinear dynamic behaviors of the system with crack-rubbing coupling faults,and the influences of the rotating speed,the crack depth,the crack angle and the stator stiffness on the system response are analyzed.The results show that the system exhibits rich nonlinear dynamic behaviors such as the multi-period,the quasi-period and the chaos;when the depth of the crack increases,the quasi-periodic motion in the supercritical speed range becomes the multiperiodic and quasi-periodic alternative motion;the change of the crack angle causes a significant difference in the bifurcation characteristics of the system.These phenomena or difference can be used as an important basis for determination of the approximate location of the crack.Increasing the stator stiffness will result in the appearance of concomitant components near the frequency-division in the supercritical speed range.

关 键 词：振动与波 转子 非线性动力学 裂纹 碰摩 滚动轴承 

分 类 号：TH113.1[机械工程—机械设计及理论]