基于有限元法的准双曲面齿轮时变啮合特性研究

准确计算准双曲面齿轮的时变啮合参数是其系统动力学分析的基础。基于接触有限元分析原理,应用有限元分析软件ABAQUS对齿轮进行加载接触分析(Loaded tooth contact analysis,LTCA),准确计算准双曲面齿轮时变等效啮合参数,包括时变等效啮合点位置、时变等效啮合力作用方向、等效啮合力作用方向上的线位移传动误差和时变等效啮合刚度,并研究转矩大小对时变啮合参数的影响。对比有限元法与经典齿轮接触分析(Tooth contact analysis,TCA)方法求得的传动误差曲线,并对比有限元法计算与加载啮合试验获得的齿面啮合印迹,验证有限元模型和计算的正确性。该方法求得的时变等效啮合参数能够准确体现准双曲面齿轮的时变啮合特性,为进一步研究准双曲面齿轮系统动力学特性提供依据。

Analysis of Hypoid Gear Time-varying Mesh Characteristics Based on the Finite Element Method

The accurate time-varying mesh parameters are the foundation of the dynamics analysis of hypoid gear system. Based on the theory of finite element contact analysis, loaded tooth contact analysis (LTCA) is implemented by employing ABAQUS software. Hypoid gear time-varying equivalent mesh parameters, including time varying equivalent mesh point position, line of direction of time varying equivalent mesh force, translational transmission error and time-varying equivalent mesh stiffness, are calculated. Effect of different torque loads on the mesh parameters is studied. The results show that torque loads have important impacts on time-varying equivalent mesh parameters of hypoid gear. Transmission error obtained by finite element method shows a good agreement with the classical tooth contact analysis (TCA) method. The loaded contact area obtained by finite element method is also shows a good agreement with the test. So the correctness of the model and the calculation is verified. The time-varying equivalent mesh parameters calculated by finite element method can reflect the time-varying mesh characteristics of hypoid gears precisely, which provide the basis to the study of hypoid gear dynamics.