准双曲面齿轮数字化建模与时变啮合特性分析  

Digital Modeling and Time-Varying Meshing Features Analysis of Hypoid Gears

作　　者：辛顺强 XIN Shunqiang(Department of Mechanical and Electrical Engineering,Fujian College of Water Conservancy and Electric Power,Yongan Fujian 366000,China)

机构地区：[1]福建水利电力职业技术学院机电工程系,福建永安366000

出　　处：《机械设计与研究》2021年第6期83-89,共7页Machine Design And Research

基　　金：福建省中青年教师教育科研项目(JATI91235);福建水利电力职业技术学院高层次人才项目(AYJRCKYQD002)。

摘　　要：针对采用刀倾半展成法(HFT)加工的准双曲面齿轮副,根据机床各部件间运动学关系,采用齐次坐标变换的方法仿真刀具运动轨迹。基于曲面成形理论及共轭啮合原理,推导大小轮齿面及齿根过渡曲面方程,建立准双曲面齿轮副啮合数学模型。采用数值算法求解齿面啮合方程并进行轮齿接触分析(TCA),获得静态传动误差及啮合印痕。采集大小轮齿面离散点云坐标并进行三维建模,基于有限元软件ABAQUS分析准双曲面齿轮副不同工况下时变啮合特性。结果表明,载荷变化对动态啮合力、传动误差、啮合刚度等参数的影响显著。随载荷增大,传动误差及啮合刚度曲线呈明显非对称特征,相关结果为准双曲面齿轮传动特性及动力学行为分析提供了依据。For the hypoid gears processed by the HFT method,according to the relative motion relation between the parts of the machine tool,homogeneous transformation is used to simulate the tool motion trajectory.Based on the surface forming theory and conjugate meshing principle,the equations of the tooth surfaces and root transition surfaces of the gear and the pinion are derived,and the mathematical model of the hypoid gear drive is established.The numerical algorithm is used to solve the meshing equations of the tooth surfaces,and the tooth contact analysis is performed to obtain the static transmission error and contact pattern.The coordinates of the discrete point cloud of the gear and the pinion are collected and the 3D model of the gears is built.Based on the finite element software ABAQUS,the time-varying meshing characteristics of the hypoid gear drive under different working conditions are analyzed.The results show that the effects of the variation of the load on the meshing force,transmission error and meshing stiffness are significant.The transmission error and meshing stiffness curves show obvious asymmetric characteristics with the increase of the load.The results provide a basis for the analysis of the transmission characteristics and dynamie behaviors of hypoid gears.

关 键 词：准双曲面齿轮 数字化建模 有限元分析 时变参数 啮合特性分析 

分 类 号：TH132.415[机械工程—机械制造及自动化]