基于滚动角的变位齿轮传动效率计算研究

Calculation and Research of Transmission Efficiency of Gear with Addendum Modification based on Roll-off Angle

引入滚动角对啮合点位置进行度量,基于功率法推导得到变位系数与啮合效率的函数关系式;根据函数极值原理对关系式进行推导,给出齿轮传动效率最高时的变位系数计算公式,通过与已有文献的实验结果进行数值对比,可知给出的传动效率与变位系数的计算结果与文献的实验结果具有一致性。论文工作对变位齿轮传动效率主动设计提供了定量计算的基础,对变位齿轮的研究与应用有一定参考价值。

Based on the power method,the roll-off angle is introduced to measure the position of meshing point,and the function relation formula between the modification coefficient and meshing efficiency is derived.The calculation formulation of modification coefficient of the maximum transmission efficiency is put forward through deriving the relation on the basis of extremism value principle for functions.Through the comparing with the experimental results of available literatures,can get to know that the numerical results of the calculation of modification coefficient and transmission efficiency are in good agreement with the experimental results of available literatures.A base for quantitative calculation of the initiative design of gear with addendum modification transmission efficiency is provided through the research work,and it has a certain reference value to the research and application for the gear with addendum modification.