磨损与动力学耦合的行星传动齿轮动力学研究

行星齿轮磨损会导致齿轮齿侧间隙非线性增大、传动精度下降、齿面冲击力增大, 进而会导致齿轮传动系统振动加剧, 因此需要对行星齿轮的齿面磨损与动力学耦合特性进行研究. 本文构建了齿轮非线性磨损与考虑齿轮齿侧间隙的非线性动力学耦合计算模型, 对行星传动齿轮磨损动力学特性进行了研究. 首先建立齿轮啮合非线性动力学模型, 获得齿轮运行过程中的非线性啮合力; 进一步将非线性啮合力与齿轮齿面磨损模型相结合, 研究齿轮齿面磨损分布规律; 并根据齿轮磨损后的齿侧间隙对齿面重构, 同时对齿轮动力学模型进行更新; 进而得到行星齿轮传动中动态啮合力和磨损特性的变化趋势, 并获得齿轮传动系统齿轮齿向振动响应. 数值计算结果表明, 行星齿轮磨损导致齿轮在单?双齿交替啮合时产生的冲击增大, 同时太阳轮?行星轮啮合齿对对磨损较为敏感, 齿面啮合条件剧烈恶化, 是造成行星齿轮传动性能退化的主要原因, 本文研究结果为行星齿轮传动系统运行状态评估与可靠性预测提供了理论基础. 

STUDY ON DYNAMICS OF PLANETARY TRANSMISSION GEAR CONSIDERING WEAR AND DYNAMICS COUPLING1)

The planetary gear wear leads to the nonlinear increase of gear tooth clearance, decrease of the transmission accuracy, and increase of the tooth surface impact force, which will cause the aggravation of the vibration of the gear transmission system. Therefore, it is necessary to analyze the tooth surface wear and dynamic characteristics of planetary gears. In this paper, the nonlinear dynamic coupling calculation model of gear nonlinear wear and gear backlash is established and the gear wear characteristics of the planetary transmission is investigated. Firstly, the nonlinear dynamic model of gear meshing is established. And then, the nonlinear meshing force of gear motion is obtained. Secondly, the wear distribution law of gear tooth surface is presented by combining the nonlinear meshing force with the wear model of gear tooth surface. Further, the tooth surface is reconstructed according to the tooth clearance after wear, and the dynamics model of the gear is updated. Finally, the trend of dynamic meshing force and wear characteristics of planetary gear transmission can be obtained. The gear tooth vibration responses of the gear transmission system are presented. The numerical calculation results show that the increases of the planetary gear wear mainly affect the gear force in the alternating single-double tooth meshing. Moreover, the sun-planetary meshing tooth is more sensitive to wear, and the meshing condition of the tooth surface deteriorates greatly, which is the main reason causing the deterioration of planetary gear transmission. The presented work provides a theoretical basis for the working performance evaluation and reliability prediction of planetary gear transmission system.