基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计

根据高阶传动误差和齿面印痕的设计需求,提出基于共轭齿面修正的齿面设计方法.采用与大轮齿面完全共轭的小轮齿面为基准面,根据预设的高阶传动误差对齿面进行一次修正;在此基础上根据接触印痕的需求对齿面进行两次修正,通过对全齿面几何形状的精确控制实现高阶传动误差和齿面印痕的精确控制.算例结果表明,传动误差为6阶曲线,幅值为3.1″,接触迹线与根锥的夹角接近25°.通过数字化滚检方法分析,结果显示:传动误差的形状、幅值、接触迹线与接触椭圆可以得到精确控制.这种基于共轭齿面修正的齿面设计方法可推广应用于其他齿轮副的设计.

Ease-off flank topography design for aviation spiral bevel gears with higher-order transmission errors by modification of conjugate flank

A lean flank design methodology for spiral bevel gears by modification of conjugate flank was proposed for the predesigned higher-order transmission errors and contact pattern. The conjugate flank of gear was used as reference flank to construct the pinion flank. The reference flank was modified according to the predesigned higher-order transmission errors, and then it was modified secondly according to the predesigned contact pattern, so the topology of the pinion flank also could be controlled precisely to meet the need of the precise control of higher-order transmission errors and contact pattern. The developed approach was illustrated with numerical example and the result showed that the transmission error was 6-order function with the magnitude 3.1", and contact path orientation was nearly 25° from root cone. The digital rolling test was employed for tooth contact analysis, and the results showed that the shape and magnitude of transmission errors, contact path orientation and contact ellipse could be precisely controlled. This proposed flank methodology basing on modification of conjugate flank can also serve as a basis for developing a general technique of flank design for other gear types.