基于啮合特性的弧齿锥齿轮动力学研究
Study on Dynamic of Spiral Bevel Gears Based on Meshing Characteristics

为了改善弧齿锥齿轮的振动特性,通过轮齿承载接触分析计算时变啮合刚度激励;再根据轮齿接触分析、载荷分配系数和啮合冲击模型近似计算出啮入冲击激励。应用集中质量法建立弧齿锥齿轮弯-扭-轴耦合的8自由度动力学模型。推导其运动微分方程,并进行了消除刚体位移和量纲归一化处理。采用变步长四阶龙格-库塔法(Runge-Kutta)求解,从而得到系统的振动响应。分析了传动误差幅值和重合度对齿轮副振动的影响。结果表明,传动误差的增大,振动也随之增大,增大设计重合度,能够减小振动。
In order to improve the vibration characteristics of spiral bevel gears, the stiffness excitation was calculated using the results of loaded tooth contact analysis. The corner impact excitation was approximately obtained by the tooth contact analysis, loaded share curve and the impact model of gear pair. The three-dimensional eight-degree dynamical model of the spiral bevel gears was established with the concentrated parameter method. The dynamic equations of this system were established, and the identical dimensionless equations were deduced though the methods of eliminating relative displacement and identical dimensionless. The dynamic equations were solved by the fourth-order Runge-Kutta algorithm with variable step lengths and the dynamic behaviors of spiral bevel gears drive were studied. Also,the influence of transmission error and design contact ratio on the system vibration were investigated, and the results show that:an increase of vibration of gear pair as the increase of transmission error; the decrease of vibration of gear pair while the increase of design contact ratio