滚动轴承支撑下齿轮耦合转子横向振动建模及非线性动力学特性  

Transverse vibration model and nonlinear dynamics of gear rotor-rolling bearing system

作　　者：李同杰[1,2] 靳广虎 鲍和云[1] 朱如鹏[1] 安鲁陵[1] 

机构地区：[1]南京航空航天大学机电工程学院,江苏南京210016 [2]安徽科技学院机械工程学院,安徽凤阳233100

出　　处：《中南大学学报（自然科学版）》2017年第8期2044-2052,共9页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51475226;51305196);安徽省教育厅自然科学重点资助项目(KJ2015A179);安徽省科技攻关项目(1501031095;1604a0902134);安徽科技学院自然科学项目(ZRC2016488)~~

摘　　要：在综合考虑滚动轴承游隙、齿轮副齿侧间隙以及时变啮合刚度等非线性因素的基础上,建立滚动轴承支撑下的齿轮耦合转子系统的横向振动非线性动力学模型,并通过数值仿真的方法对系统运动状态的分岔规律以及动力学频响特性进行研究。研究结果发现:在非线性轴承力的激励下,转速、轴承游隙以及轴承阻尼的变化,都会导致系统通过不同的分岔途径进入到混沌运动状态;质量偏心以及齿侧间隙的增大都会使系统响应由简单的轴承力激振频率及其倍数频逐渐复杂化为离心力激振频率、轴承力激振频率、以及二者的各种线性组合频率共存的情况,齿轮啮频成分也出现在系统响应中,但始终处于弱势地位。A nonlinear transverse vibration model of a gear rotor-rolling bearing system was built taking the nonlinear factors, such as bearing clearance, gear backlash and time-varying meshing stiffness into account. By using the method of numerical simulation, the bifurcation laws and the frequency response characteristics of the system were studied primarily. The results reveal that the changes of rotor speed, rolling bearing clearance and bearing damping may lead to chaos through different ways; the increase of rotor eccentricity and the gear backlash will make the system response from simple bearing force excitation frequency and its multiple frequency gradually changes into a complicated one that includes various linear combinations of centrifugal force frequency and the bearing frequency. The gear meshing frequency is one of the system respond factors, but always plays a small role no matter whether the rotor eccentricity or the gear backlash is big or not.

关 键 词：齿轮耦合转子 滚轴轴承 非线性振动模型 分岔 频响特性 

分 类 号：O322[理学—一般力学与力学基础] TH113[理学—力学]