交角不对中转子-轴承系统非线性动力学行为研究  

Nonlinear dynamics of rotor-bearing systems with a fault of angular misalignment

作　　者：李自刚[1] 李明[1] 江俊[2] LI Zi-gang;LI Ming;JIANG Jun(Department of Mechanics,Xi’an University of Science and Technology,Xi'an 710054,China;State Key Laboratory of Strength and Vibration for Mechanical Structures,Xi'an Jiaotong University,Xi'an 710049,China)

机构地区：[1]西安科技大学力学系,陕西西安710054 [2]西安交通大学机械结构强度与振动国家重点实验室,陕西西安710049

出　　处：《振动工程学报》2019年第3期509-516,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金青年项目(11702213);国家自然科学基金重点项目(11332008);陕西省自然科学基础研究计划(2018JQ1061)

摘　　要：考虑转子交角不对中和质量不平衡等因素,研究了在滑动轴承支承下柔性转子-轴承耦合系统的非线性动力学行为.首先,基于转子间交角不对中的约束关系,利用第二类Lagrange方程推导了具有交角不对中故障的柔性多转子系统运动微分方程.采用数值方法,分析系统的非线性振动特性,例如,系统的轴心轨迹、响应频谱和最大Lyapunov指数等.结果表明:在较低转速时,系统主要呈现出与转速同步的周期运动特性.随着转速的提高,稳态响应在某些参数下出现分叉、跳跃以及混沌等非线性现象.最后讨论了交角不对中量以及质量不平衡对系统动力学特性的影响.The non-linear dynamical behaviors caused by the faults of angular misalignment and mass unbalance of the journal bearing supported flexible rotor-bearing system are investigated in this paper. Firstly, the motion equation of the rotor system is derived by the second class Lagrange method with the effects of the motion relation between the two rotors, in which a rheo-nomic holonomic constraint characterized by the angular misalignment is embedded. Then its nonlinear vibration features,such as the frequency spectra, rotor orbit and Poincare section, and the largest Lyapunov exponent under different conditions are pri-marily analyzed based on numerical techniques. The results reveal that the vibration of the rotor system are synchronous at low speed,while as the rotating speed increase,some non-linear characteristics such as jumping,period-doubling and chaotic mo-tions will occur. Furthermore,the parameter analysis for the effects of angular misalignment and mass unbalance is also dis-cussed.

关 键 词：非线性动力学 转子-轴承系统 交角不对中 分叉与混沌 质量不平衡 

分 类 号：O322[理学—一般力学与力学基础] O347.6[理学—力学]