渐开线齿轮传动齿面滑动摩擦耗散功率研究

Exploring Sliding Friction Dissipation Power of Transmission Tooth Surface of Involute Gear

基于齿轮系统的功能传递原理和摩擦耗散机理,分析了齿轮传动过程中单齿和双齿啮合的特性,求解了齿面滑动速度和齿面法向正压力分配系数,建立了齿轮系统瞬时啮合耗散功率计算的数学模型,并以某NGW型行星齿轮减速器为例计算了组成系统的各对齿轮传动的瞬时摩擦耗散功率和传动效率。结果表明:单齿啮合区齿面滑动摩擦耗散功率较小,双齿啮合区齿面滑动摩擦耗散功率较大;齿面滑动摩擦耗散功率和啮合传动效率具有周期性和时变性,并且具有很大的突变性;外啮合齿轮副齿面摩擦耗散功率大于内啮合齿轮副;各行星轮和中心轮的啮合状态之间的相位关系对瞬时摩擦耗散功率和传动效率影响很大,对行星轮系传动的平稳性有一定影响。

Based on the function transfer principle and frictional dissipation principle of a gear system,the characteristics of single tooth meshing and double tooth meshing during gear transmission are analyzed, the distribution coefficients of sliding velocity of a tooth surface and its normal positive pressure are solved and the mathematical model for computing instantaneous meshing dissipation power of the gear system is set up. Then taking the NGW type planetary gear reducer for example,we compute the instantaneous frictional dissipation power and transmission efficiency of each gear pair. The computational results show that the sliding friction dissipation power of the tooth surface is smaller in single tooth meshing areas; accordingly it is bigger in double tooth meshing areas.The sliding friction dissipation power and meshing transmission efficiency of the tooth surface have periodicity,variability and prodigious mutuality. The tooth surface friction dissipation power of external gear pair is greater than the friction dissipation power of internal gear pair. The phase relation of meshing state between each planet wheel and the central wheel has a great influence on the instantaneous frictional dissipation power and transmission efficiency and a certain influence on the transmission stability of planetary gear train.