Klingelnberg摆线锥齿轮运动优化与仿真

基于克林根贝尔格(Klingelnberg)摆线锥齿轮的对滚模型,利用轮齿接触区预报公式,根据复合形法寻优原理建立了运动优化方法,并进行了实例仿真验证·在优化数学模型中,以齿轮运动误差最小为目标函数,以刀盘压力角、刀盘装定角和刀盘工作半径等3个对啮合性能有敏感影响的机床工艺调整参数为设计变量·优化后的运动误差值比优化前有较大的减小·该方法可以快速有效地确定具有良好啮合性能的一组机床工艺参数·

Kinematic Optimization and Emulation of Klingelnberg Spiral Bevel Gear

On the basis of the rolling model of Klingelnberg spiral bevel gear, using the predicting formula of tooth contact pattern, an optimal method, which consider the machine tool settings according to the optimal theory of complex shape,was established, and was proved by means of practical emulation. The goal of the optimal objective function is to minimize the transmission error with the cutting tool angle, cutting tool mounted angle and cutting tool working radius as design variables that affect meshing. Emulating reslut shows that the transmission error was reduced greatly after optimized. Method given in this paper can produce a group of machine tool settings with a good meshing performance effectively and quickly.