不同自由度耦合斜齿轮转子系统的振动特性  

Vibration Characteristics Analysis of a Helical Gear Rotor System Considering Different Degrees of Freedom Coupling

作　　者：马辉[1,2] 王奇斌[1] 黄婧[1] 张义民[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《振动．测试与诊断》2014年第4期650-657,775,共8页Journal of Vibration,Measurement & Diagnosis

基　　金：机械传动国家重点实验室开放基金资助项目(SKLMT-KFKT-200903);国家自然科学基金资助项目(51105065);中央高校基本科研业务费专项资金资助项目(N100403008)

摘　　要：以一个两对斜齿轮耦合的三平行轴转子系统为研究对象,考虑静态传递误差和齿轮几何偏心等因素的影响,建立了全自由度通用齿轮啮合动力学模型。将其与转子系统有限元模型进行耦合,建立了平行轴系齿轮转子系统有限元模型。转子系统采用梁单元模拟,齿轮之间的啮合通过啮合刚度矩阵和阻尼矩阵模拟,并分析了不同自由度耦合下系统的固有特性和振动响应特性。研究结果表明,考虑弯扭耦合和弯扭轴摆耦合会产生较多的弯扭耦合频率,响应计算结果出现的峰值点均对应系统的固有频率,而考虑弯扭轴摆耦合可以更好地表征系统的不同自由度的耦合振动情况。此研究结果可为齿轮耦合转子系统设计提供参考。Using aparallel three-shaft coupling rotor system with two pairs of helical gears as the research object,a meshing dynamic model with a general total degree of freedom is established by considering the effects of the static transmission error and the geometric eccentricity of the gears.Combined with the dynamic model,a finite element model of the rotor system is determined.In this model,the rotor system is simulated using a beam element,and the gear pair is simulated using a mesh stiffness matrix and damping matrix.Finally,considering the different degrees of freedom coupling of the system,the dynamic characteristics of the system are analyzed.The results show that more coupling natural frequencies of the system can be obtained by considering bending-torsional coupling and bending-torsional-axial-swing coupling.All peaks of the response calculation results correspond to the natural frequencies of the system,and the bending-torsional-axial-swing coupling is a more effective way to analyze the dynamic characteristics of the system.The results are beneficial to the structural design of gear coupled rotor systems.

关 键 词：斜齿轮 转子系统 不同自由度耦合 振动特性 

分 类 号：TH113.1[机械工程—机械设计及理论]