基于动力学分析的大重合度直齿圆柱齿轮强度计算

Strength calculation of high contact-ratio spur gear based on dynamics analysis

为了探索大重合度直齿圆柱齿轮的承载能力,以2排交错布置、具有纵向重合度的直齿圆柱齿轮为研究对象,基于由动力学分析得到的轮齿间动态法向力的变化规律和齿轮的啮合点位置,采用有限元分析法计算其齿根弯曲应力,利用Hertz公式计算其齿面接触应力。通过计算可知:与静态工况相比,考虑齿轮传动系统动力学效应时,大重合度直齿圆柱齿轮的最大齿根弯曲应力增大了22.49%,最大齿面接触应力增大了10.94%;与渐开线标准直齿圆柱齿轮相比,大重合度直齿圆柱齿轮的最大齿根弯曲应力减小了17.08%,最大齿面接触应力减小了43.79%。结果表明,大重合度直齿圆柱齿轮的强度大幅提升,应用潜力巨大。

In order to explour the bearing capacity of high contact-ratio spur gears,the two rows of staggered spur gear with longitudinal contact-ratio was taken as the research object.Based on the change law of dynamic normal force between the teeth obtained through the dynamics analysis and the meshing point position of the gear,the tooth root bending stress was calculated by the finite element analysis method,and the tooth surface contact stress was calculated by the Hertz formula.The caculating results showed that,compared with the static woking condition,when considering the dynamics effect of the gear transmission system,the maximum tooth root bending stress of the high contact-ratio spur gear increased by 22.49%,and the maximum tooth surface contact stress increased by 10.94%;compared with the involute standard spur gear,the maximum tooth root bending stress of the high contact-ratio spur gear was reduced by 17.08%,and the maximum tooth surface contact stress was reduced by43.79%.The results show that the strength of the high contact-ratio spur gear is greatly improved,and its application potential is huge.