单级齿轮副弯扭耦合非线性振动特性研究  

Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear

作　　者：刘荣菊 陈福忠[1] 石永军[1] 赵永盛 Liu Rongju;Chen Fuzhong;Shi Yongjun;Zhao Yongsheng(College of Mechanical and Electronic Engineering,China University of Petroleum(East China),Qingdao 266580,China)

机构地区：[1]中国石油大学(华东)机电工程学院

出　　处：《机械传动》2019年第9期28-34,共7页Journal of Mechanical Transmission

基　　金：中国石油科技创新基金(2017D-5007-0307);中央高校基本科研业务费专项资金(17CX06003);中央高校基本科研业务费专项资金(No.18CX05004A)

摘　　要：以直齿轮副为研究对象,建立了包含时变啮合刚度、综合误差、齿侧间隙和输入转矩等因素的6自由度弯扭耦合非线性振动模型。结合分岔图和庞加莱映射图,研究了齿侧间隙、输入转矩以及二者耦合作用和主、从动轮轴承支撑刚度对系统振动特性的影响。研究表明,输入转矩一定时,随着齿侧间隙不断增大,系统通过分岔和激变从单周期响应过渡到混沌;齿侧间隙一定时,随着输入转矩不断增大,系统通过倒分岔和激变从混沌过渡到单周期响应;当输入转矩较大时,齿侧间隙对系统响应影响很小;支撑刚度较大系统响应稳定,并且从动轮轴承支撑刚度对系统振动特性影响较大。Taking spur gear pair as the research object,a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness,comprehensive error,backlash and input torque is established.Based on the bifurcation diagram and Poincare map,the influence of backlash,input torque,their coupling effect and the support stiffness of the main and follower gear bearings on the vibration characteristics of the system is studied.The results show that under a certain input torque,the system transits from single-period response to chaos through bifurcation and catastrophe with the increase of backlash.Under a certain backlash,the system transits from chaos to one-period response through inverted bifurcation and catastrophe with the increase of input torque.When the input torque is large,the backlash has little effect on the system response.The stiffness of the follower gear bearing has a great influence on the vibration characteristics of the system.

关 键 词：齿侧间隙 输入转矩 支撑刚度 弯扭耦合 振动特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]