齿面摩擦对齿轮系统谐波共振的影响

Impact of tooth surface friction on harmonic resonance of gear system

考虑齿面摩擦建立了齿轮动力学方程,采用多尺度法对动力学方程求解,分析了在轮齿齿面磨擦作用下,摩擦因数对主共振频率响应的影响,并在此基础上分析了静态载荷、动态载荷以及阻尼系数对主共振频率响应的影响。分析结果表明:齿面摩擦能有效地减小主共振频率幅值,在静态载荷较大的情况下对共振的频率有较大影响。在齿面摩擦的作用下,动态载荷以及阻尼系数引起的共振幅值明显降低,且对共振频率影响较小。

The gear dynamic equation was constructed, which takes the tooth surface friction into consideration. The equation was solved by the multi-scale method. The influence of the friction coefficient on the main resonance frequency response was analyzed. On the basis, the influences of the static load, dynamic load and the damping coefficient on the main resonance frequency response were investigated. The results show that the tooth surface friction can effectively reduce the resonance amplitude. When the static load is larger its influence on the resonance frequency is greater. The dynamic load and damping factor can reduce the resonance amplitude, but their influence on the resonance frequency is not obvious.