考虑构件偏心时磁场调制型磁齿轮传动系统的主共振

Main resonance of field modulated magnetic gear system when considering the rotor eccentricity

考虑磁场调制型磁齿轮传动系统中内转子偏心,建立了基于时变磁耦合刚度的参数振动动力学模型,采用多尺度法推导了内转子上转矩激励频率接近系统固有频率时的共振响应计算公式,分析了算例系统的主共振响应。结果表明:当转矩波动频率接近系统不同阶固有频率时,产生的共振振幅相差较大,且共振响应中只有一个自由度的振幅很大,而其他自由度振幅很小;系统响应中激励频率占主导成分,而激励频率与磁耦合刚度波动频率的组合频率对系统响应影响很小。较大的主共振会严重恶化系统动力学行为,对其进行研究可以为深入探索该系统的动力学特性、优化不同工况环境下的设计参数提供理论依据。

The parametric vibration model of field modulated magnetic gear（FMMG） system was established based on time-varying magnetic coupling stiffness while considering the inner rotor eccentricity. The main resonance of the example system was analyzed. The resonance response expresses of FMMG system was deduced when the excitation frequency was closed to the natural frequencies by the multiscale method. The results showed that the resonance amplitudes were quite different when the excitation frequency was closed to different order natural frequencies of FMMG system. Only one degree of freedom amplitude of a certain component in resonances responses was much bigger and the others were all smaller. The excitation frequency was the dominant component in resonance response. The combined frequency between the excitation frequency and the fluctuation frequency of the magnetic coupling stiffness has little effect on the FMMG system. The larger main resonance would seriously deteriorate the dynamics behavior of FMMG system. This could provide the theoretical basis for exploring the dynamic characteristics and optimizing parameters under different work conditions.