摘要
制造误差是影响齿轮副啮合的重要因素,研究其作用机理对齿轮的减振设计具有重要意义。首先基于几种典型制造误差的结构形式提出了一般的精确建模方法,以一对渐开线直齿轮为例,利用接触有限元分析方法对啮合过程进行仿真,发现理想齿轮副和含误差齿轮副啮合过程中的角速度、动态接触力特性表现出显著差异。然后进行单项误差影响齿轮振动的机理研究,分别以齿廓误差和齿距误差为对象,利用傅里叶变换量化分析了不同加工公差等级下的单项制造误差对齿轮副动态传递误差、角加速度特性的影响规律。研究表明:所提出的建模方法可以模拟任意形式的微小量级的制造误差,并体现在接触有限元分析中。不但能够用于精细化研究制造误差对齿轮副啮合过程的影响,还可以通过量化各项啮合特性分析单项误差影响齿轮振动的作用机理,并指导齿轮的减振设计和精度设计等。
Machining errors have significant effect on gear pair meshing,it is necessary to study its mechanism for vibration reduction design of gear pairs.Based on the analysis of several kinds of machining errors,a precise modeling method was presented.On this basis,the meshing process of one spur gear pair as an example was simulated using the contact finite element method.Its angular velocity and dynamic meshing force showed significant differences between an ideal gear pair and a gear pair with machining errors.Then,the influence mechanisms of profile error and pitch error on gear vibration were studied,respectively.Quantitative analysis of meshing characteristics including dynamic transmission error and angular acceleration was performed using FFT.The results showed that the proposed modeling method can be used to simulate arbitrary form of machining errors with a small order and this ability is reflected in the contact finite element analysis;it is effective not only to investigate how machining errors influence gear pair meshing process,but also to study influence mechanism of single machining error.The proposed method could be used to guide the anti-vibration design and accuracy design of gear pairs.
出处
《振动与冲击》
EI
CSCD
北大核心
2015年第3期43-50,共8页
Journal of Vibration and Shock
关键词
制造误差
齿轮副
动态啮合特性
接触有限元分析
动态传递误差
角加速度
machining errors
gear pairs
dynamic meshing characteristics
contact finite element analysis
dynamic transmission error
angular acceleration
