基于承载传动误差幅值最小的斜齿轮齿面修形优化设计

为了减小振动与噪声,提出了以承载传动误差幅值最小为优化目标的修形齿面设计方法:通过两段曲线与一段直线分别设计齿廓、齿向、三维修形(齿廓与齿向修形的叠加)修形曲线,通过三次B样条拟合了相应的修形曲面,与理论齿面叠加构造了斜齿轮修形齿面,推导了其法矢,将斜齿轮修形技术与承载接触分析技术结合起来,采用遗传算法对修形曲线参数进行优化,编制了一套齿面修形优化分析程序,能对修形后的斜齿轮副进行齿面接触分析(TCA)、承载接触分析(LTCA).结果表明:无修形齿轮副的传动误差幅值随载荷增加而增大,修形后随载荷的增加重合度逐渐增大,幅值会产生波动,然后保持稳定,为斜齿轮修形齿面优化设计提供了新的方法.

Optimal design of modified helical gear tooth surfaces based on minimum amplitude of loaded transmission error

An approach based on the minimum amplitude of loaded transmission error of drive gears was proposed to reduce vibration and noise.The modified tooth surfaces were represented by a sum of two vector functions that determine the theoretical tooth surface and deviation surface fitted by triple B splines based on tooth surface mesh data from the curves created by double parabolas and a straight line,including: profiled,longitudinal and both profiled and longitudinal curves;and normal vector of the deviation surface was deduced.Besides,LTCA was applied to the modification technology,and genetic algorithm was used to optimize the parameter of curve,and draw up a set of calculation procedures simulating TCA and LTCA of the modified helical gears.The results show that the loaded transmission error represents a linear increase in amplitude with the increasing load on theoretical tooth gears,however,its amplitude come into fluctuations and finally tends to be stable due to increasing contact ratio with the increasing load on modified gears,thus providing a new method for optimal design of modified helical gear tooth surfaces.