直齿圆柱齿轮齿廓修行曲线优化设计

Optimal Design of Profile Modification Curves for Spur Gears

齿廓修形一般可以选取直线修形和抛物线修形,而不同类型的修形曲线,应取的修形量也是不同的。为了准确地选取修行曲线和确定该修形曲线下的齿轮修形参数,在分析传递误差对齿轮振动影响的基础上,依靠有限元模型模拟修形齿轮的啮合过程,并引入遗传算法,以减小齿轮的传递误差波动作为目标,对修形参数进行了高精度的优化设计。研究表明,该方法可以准确地选取最优的修形曲线和确定齿轮修形参数,并能大幅度减小齿轮的传递误差波动,为无声齿轮的研究指出了新的设计方法。

The tooth profile modification can generally choose straight line modification and parabolic modification. Different modification curves have different modification parameters. In order to accurately determine the best modification curves and modification parmneters of this curve, basing on analysis of the vibration that effected by transmission error, a pair of gears with parabolic modification meshing process is simulated with FEM approach. Aiming at reducing the fluctuation of transmission error, optimum profile modifications of spur gears is designed by genetic algorithms. The research shows that the approach is accurate and efficient to choose the best curve and fix the profile modifications of spur gears. It can also avoid impact of meshing and reduce the fluctuation of transmission error. The approach illustrated in this paper provides a new way for designing the noiseless gears.