直线共轭内啮合齿轮副的啮合效率分析

Analysis on Meshing Efficiency of Straight Conjugate Internal Gear Pair

为进一步提高水下航行器热动力装置整体性能,研究了替代以外啮合齿轮泵作为水下航行器海水泵、燃料泵和滑油泵的内啮合齿轮泵的啮合效率。应用切线极坐标法分析了直线共轭内啮合齿轮副的啮合过程,以瞬时效率为基础完成了其啮合效率函数的推导,通过在啮合区间上积分得到平均啮合效率(简称啮合效率)的计算公式,并简要分析了轮齿变形对啮合质量的影响,以NBX3泵中的齿轮副为例,对其进行了实例仿真计算,做出了摩擦系数和传动比对啮合效率的影响曲线,得出以下结论:用切线极坐标法分析内啮合齿轮副啮合过程可行且较简便;啮合效率随摩擦系数增大而减小,摩擦系数越大,啮合效率下降速率越快;啮合效率随传动比增大而减小,与相同参数的渐开线内啮合齿轮副相比,直线共轭内啮合齿轮副啮合效率更高。

To improve the performance of thermal power as a whole for an underwater vehicle, the meshing efficiency of straight conjugate internal gear pair, which substitute for external gear pair of sea water pump, fuel pump and lubricating oil pump for an underwater vehicle, is investigated, the meshing characteristics of straight conjugate internal gear pair are analyzed on the basis of tangent polar coordinate, and a meshing efficiency function is derived based on the instantane- ous efficiency. Moreover, a formula for calculating the average meshing efficiency（short for meshing efficiency） is ob- tained through integrating in the meshing interval, and the influence of gear deformation on meshing quality is analyzed. Taking the gear pair in NBX3 pump for example, the curves of friction coefficient and gear ratio versus meshing effi- ciency are simulated, and the following conclusions are drawn： 1） tangent polar coordinate is feasible and convenient for analyzing the meshing characteristics of the internal gear pair; 2） meshing efficiency decreases with the increase in fric- tion coefficient, and the decreasing rate of meshing efficiency efficiency decreases with the increase in gear ratio, and the accelerates with increasing friction coefficient; 3） meshing straight conjugate internal gear pair gets higher meshingefficiency than involute internal gear pair.