基于实测齿面误差的齿轮副动力学特性分析

Dynamics Characteristic Analysis of a Spur Gear based on Measured Tooth Surface Error

齿面误差是齿轮产生振动和噪声的最主要影响因素,为了研究齿面误差对齿轮系统影响规律,针对实测齿面误差,通过接触分析,计算了考虑齿廓偏差、径向跳动和齿距偏差的齿轮系统静态传递误差。在借鉴前人对齿轮传动系统研究的基础上,建立了包含时变啮合刚度、齿侧间隙、啮合阻尼和静态传递误差的一对单自由度圆柱齿轮副的动力学微分方程。通过数值仿真的方法分析齿轮系统的动态特性,研究结果表明,根据实测齿面误差计算得到的静态传递误差成分更丰富,齿廓偏差在低转速下对齿轮系统的影响较大,径向跳动和齿距偏差在高速时对齿轮系统的影响较大。

Gear tooth surface error is main excitation source of vibration and noise in gear system. In order to study the influence of tooth surface error on gear system,the static transmission error is calculated for gear system with measured errors such as profile deviation,run out and pitch errors by tooth contact analysis method.In this work,a differential equation of vibration for gear system with time-varying meshing stiffness,blackness,meshing damping and static transmission error is established on the basis of previous research for gear transmission system. The dynamic characteristic of gear system is obtained by numerical analysis method. The results show that static transmission error with measured errors has more actual components. The profile deviation has higher influence on gear system at low rotation speed,and run out and pitch error have higher influence on gear system at high rotation speed.