基于有限元法的复合摆线行星齿轮副应力分析

Stress analysis of compound cycloidal planetary gear pair based on finite element method

针对设计规范中未考虑齿廓参数对复合摆线行星齿轮副应力影响的问题,采用四阶复合摆线作为内齿廓,基于Lewis定理求解出共轭齿廓,对摆线齿廓进行了修形,最后建立实体模型进行有限元分析,分析各齿廓参数对摆线齿轮副应力的影响规律。结果表明:复合摆线行星齿轮传动为多齿啮合传动,在啮合接触的位置呈典型的赫兹接触的应力分布特征,在齿根处有轻微的应力集中区域,齿轮副的承载能力主要受限于齿面接触疲劳强度;在可能的情况下,应选取较大的模数、较大的齿高调节系数和较小的齿形调节系数,以提高齿轮副的承载能力。

There are few studies on the influence of tooth profile parameters on the stress of composite cycloid planetary gear pair.In this study,by using the fourth-order composite cycloid as the internal tooth profile,the conjugate tooth profile was designed based on Lewis theorem,and the cycloid tooth profile was modified.Finally,the solid model was established for finite element analysis,and the effects of tooth profile parameters on the stress of compound cycloid gear were analyzed.The results show that the compound cycloidal planetary gear transmission is a multi-tooth meshing transmission.The stress distribution is the typical Hertz contact at the meshing contact position,and there is a slight stress concentration area at the tooth root.The bearing capacity of gear pair is mainly limited by the contact fatigue strength of tooth surface.If possible,a larger modulus,a larger tooth height adjustment coefficient and a smaller tooth shape adjustment coefficient should be selected to improve the bearing capacity of the gear pair.