斜齿轮高阶传动误差设计与分析

Design and Analysis of Helical Gears with a High Order Transmission

为了改善斜齿轮副啮合传动性能,提出了应用四阶传动误差函数曲线,采用数控加工展成斜齿轮.利用抛物线齿廓的产形齿条与圆柱齿轮啮合推导小轮齿面方程.采用假想小轮的方法推导了四阶齿线修形大轮齿面数学模型.根据两齿面在啮合中连续相切条件,建立了含有误差的轮齿接触分析模型（TCA）.仿真结果表明：该设计降低了接触印痕对安装误差的敏感性,相邻两个啮合周期的啮合转换点处,传动误差曲线的切线夹角接近180°,降低振动及冲击.

In order to improve the meshing characteristics of helical gears,the fourth order transmission was developed by CNC process.The mathematical model of pinion surface was generated by the imaginary rack cutters with a parabolic curve profile modification,then the derivation of gear surface was performed by a imaginary pinion.The tooth contact analysis which was also considered the assemble errors,was established on the conditions of continuous tangency of two contact surfaces.The simulation shows：the design of helical gears decreased the sensitivity of bearing contact to errors;there is a separation angle that is equal to 180° possibly of tangent line of transmission errors in the point of two meshing cycle;using the tooth profile modification with parabolic curve,the vibration and impact also can be reduced by a predesigned fourth order transmission curve.