准双曲面齿轮准静态接触分析和试验研究

建立了精确的准双曲面齿轮的轮齿面和过渡曲面数学模型;选择用平均接触椭圆长半轴、接触线方向角和传动误差曲线交点来评价齿面接触斑点和传动误差;以一个准双曲面齿轮副为计算实例,建立了适合准静态齿面接触分析的准双曲面齿轮传动系统有限元分析模型;通过准静态加载齿面接触特性分析,得到齿根弯曲应力、接触应力和传动误差的变化规律,分析载荷的影响情况,并比较了有限元结果与经验公式计算结果。开发了准双曲面齿轮试验台,进行齿面接触斑点和齿根弯曲应力检测,试验结果与仿真结果的一致性较好。

Theoretical and experimental investigation on contact characteristics of hypoid gears under quasi static condition

The precise mathematical models of tooth surfaces and fillet surfaces of the hypoid gear are established. Three indexes of average semi major axis of contact ellipses, the direction angle of contact path and the intersection of the transmission error curve are selected to evaluate the tooth contact pattern and the transmission error. Then, taking a hypoid gear for example, the finite element analysis model of hypoid gears transmission system is established which is suitable for tooth contact characteristics analysis under quasi static condition. By the analysis of quasi static motion and loaded tooth contact, the variations of bending stresses, contact stresses, and transmission error are investigated. Besides, the results are compared with the calculated results by empirical formula. Finally, a hypoid gear transmission performance test bed is developed, then the tooth contact pattern test and bending stress test are carried out, and the test results are well consistent with the simulation results.