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齿侧间隙的存在会产生齿间冲击,影响齿轮传动的平稳性。为了全面研究齿侧间隙对齿轮振动特性的影响,通过建立齿轮副非线性振动的数学模型,并基于Runge-Kutta法对该模型进行数值仿真求解,结合时间历程图、相图、Poincaér映射图以及FFT频谱图,研究不同啮合频率、不同载荷下的齿侧间隙对齿轮副振动和冲击状态的影响。研究表明,啮合频率对齿侧间隙的动力学响应呈现非线性关系,在固定啮合频率时,在一定齿侧间隙范围内,齿轮出现混沌。在此范围外,不受影响;齿轮传递载荷较小时,齿侧间隙更容易对齿轮副的振动特性造成影响。而重载时,齿侧间隙的变化对齿轮副振动特性影响较小;随着齿侧间隙的增加,齿轮冲击状态由双边冲击向单边冲击过渡,当超过一边界值时,冲击状态维持在单边冲击状态不变。
The presence of tooth-side clearance will produce interdental impact, affecting the smoothness of gear transmission. In order to comprehensively study the influence of flank clearance on the vibration characteristics of gears, a mathematical model of nonlinear vibration of gear pair was established and the model was solved numerically by Runge-Kutta method. Combined with time history, phase diagram, Poincaér map and FFT spectrogram to study the effect of gear flank vibration and impact state under different loads and different meshing frequencies under different loads. The research shows that the meshing frequency has a nonlinear relationship with the dynamic response of the tooth flank clearance. When the meshing frequency is fixed, the gear chaos appears within the flank clearance. Outside this range, it is not affected; when the gear transmission load is small, the flank clearance is more likely to affect the vibration characteristics of the gear pair. In heavy load, the change of flank clearance has little effect on the vibration characteristics of gear pair. With the increase of flank clearance, the impact state of gear changes from bilateral impact to unilateral impact. When the boundary value is exceeded, the impact state is maintained at Unilateral impact on the same state.