基于遗传算法的弧齿锥齿轮动态特性优化设计

基于集中质量法建立了弧齿锥齿轮八自由度弯-轴-扭三维空间动力学模型,在模型中考虑了啮合刚度的时变性、几何传动误差的非线性、齿面侧隙以及支承刚度的非线性.采用Runge-Kutta法对传动系统动态响应进行求解.在此基础上,以啮合周期内动态特性指标——振动加速度均方根作为优化目标函数,使用遗传算法对局部综合法中的齿面控制参数进行优化.在对设计参数进行优化的同时也获得了齿轮副最优加工参数.最终以齿面修形的方式实现了航空弧齿锥齿轮动态特性优化,减小了齿轮传动系统的振动与噪声.

Optimization design of spiral bevel gear's dynamic characteristics based on genetic algorithm

The three-dimensional eight-degree non-linear dynamical model of the spiral bevel gear was established based on the lumped mass method.Time-varying mesh stiffness,non-linear geometric transmission error,gear clearance and non-linear bearing stiffness were considered in this model.The dynamic response for the transmission system was solved by using Runge-Kutta method.Then,by taking meshing cycle root mean square vibration acceleration as an optimizing object,GA(genetic algorithm) was used to optimize these two local control parameters in the local synthesis,meanwhile optimized machining parameters of the gear pair were also obtained.By the way of tooth surface modification,the purpose of reducing gear's vibration and noise was realized.