修形人字齿轮传动系统动态特性分析

Dynamic Characteristic Analysis of Modification Helical Gear Transmission System

利用抛物线代替齿条刀具切削刃上的部分直线,实现人字齿轮齿高修形;通过预控抛物线型传动误差,结合刀具切削刃的方程,推导齿条刀具与轮齿的啮合方程,实现人字齿轮齿向修形。建立人字齿轮弯-扭耦合动力学模型和系统的振动微分方程。根据人字齿轮轮齿接触分析方法(TCA)求出齿高修形和齿向修形齿轮的传动误差,并作为误差激励代入人字齿轮动力学方程中,进行修形人字齿轮的动特性研究。通过计算得出预控抛物线传动误差修形可以降低人字齿轮传动的动载系数,从而更有效地达到减振降噪的目的。

The double helical gear addendum modification is achieved by using parabola instead of part of straight line on rack cutter blade. Through a predesigned parabolic function of transmission er- rors and combined with the equation of the rack cutter blade, the gear tooth meshing equation is de- rived and the gear tooth profile modification is realized. The bend--torsional coupling dynamics model of double helical gear and oscillatory differential equation of system are established. According to the double helical gear tooth contact analysis method （TCA）, the addendum modification and tooth profile modification transmission errors are obtained. Appling these errors to the kinetic equations as the error exercitation, double helical gear dynamic characteristic is studied. It is proven that tooth profile modi- fication based on a predesigned parabolic function of transmission errors can decrease the dynamic fac- tor of the double helical gear transmission. Thus, more effectively achieve the purpose of reducing vi- bration and noise.