双压力角非对称齿廓齿轮齿根弯曲应力的有限元分析

Finite element analysis of the tooth root bending stress of an unsymmetric gear with double pressure angles

  • 摘要: 推导出双压力角非对称渐开线齿轮系统全齿廓方程,以及在单、双齿啮合上、下界点处坐标和载荷角的计算公式,编制了相应的参数化程序.对实例的有限元分析表明非对称渐开线齿轮的齿根弯曲强度比对称齿轮有较大提高.计算结果揭示了由于时变啮合刚度的影响齿根弯曲应力在一个啮合周期的变化规律.

     

    Abstract: This paper deduced the involute gear total tooth profile equations of unsymmetric teeth with double pressure angles, proposed the calculation formulas of coordinates and load angle at the upper and lower points of single and double teeth mesh areas, and programmed the relevant parametric programs. Compared with a standard involute gear, the unsymmetric involute gear could efficiently improve the tooth root bending strength by finite element analysis. Considering the time-variant mesh stiffness, the calculated results demonstrated the change of tooth root bending stress in one engagement period.

     

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