齿向修形直齿轮系统动力学特性分析  

Dynamic characteristics analysis of a spur gear system with the lead crown relief

作　　者：王奇斌[1] 张义民[2] 

机构地区：[1]西安电子科技大学机电工程学院,陕西西安710071 [2]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《振动工程学报》2016年第1期61-68,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51135003);国家重点基础研究发展计划(973计划)(2014CB046303);中央高校基本科研业务费专项资金资助项目(N130603002)

摘　　要：研究了直齿轮齿向修形对齿轮系统振动特性的影响。首先考虑直齿轮齿向修形偏差,将轮齿沿轴向离散成若干宽度相等的薄片,建立了齿轮副啮合刚度模型。然后以一对直齿轮副为例,分别使用有限元法和本文方法分析了齿轮副啮合刚度,结果表明所提方法能够快速准确求解齿向修形直齿轮副的啮合刚度。最后建立齿轮系统有限元模型,分析了齿向修形对系统固有特性、振动响应特性的影响。研究结果表明:齿向修形降低了齿轮副啮合刚度,考虑齿向修形后齿轮系统弯扭耦合固有频率减小,齿轮系统响应的共振峰出现了偏移。研究结果可为齿向修形齿轮的动态响应计算和结构设计提供理论依据。The present work is intended to analyze the vibration characteristics of a gear system with the lead crown relief.A model is introduced for analyzing the influence of the lead crown relief on the gear meshing stiffness.The tooth is approximated as a series of independent spur gear slices along axial direction whose face-width is relatively small.Then the meshing stiffness is calculated by the finite element method and the proposed method for comparison.It is demonstrated that the proposed method is fast and accurate to calculate the gear meshing stiffness with the lead crown relief.Finally,the vibration characteristics of agear system are analyzed.The results show that the meshing stiffness and the natural frequencies of the flexural and torsional vibrations become smaller for the tooth with lead crown relief.The frequencies where the resonances occur also become smaller with the lead crown relief.

关 键 词：直齿轮 齿向修形 啮合刚度模型 有限元模型 振动特性 

分 类 号：TH113.1[机械工程—机械设计及理论] TH132.41