中文摘要：

为了提高球形齿轮承载能力和降低啮合质量对安装误差的敏感性,对斜齿球形齿轮齿面进行了修形.用产形齿条方法和啮合理论,推导斜齿球形齿轮齿面数学模型,并用抛物线形齿廓刀具对齿面修形;根据两齿面在啮合接触中连续相切条件,建立了含有安装误差的齿面接触分析（TCA）模型.齿轮副啮合仿真结果表明：凸-凹型斜齿球形齿轮副接触迹线沿着齿线方向,可提高其啮合传动的重合度及承载能力,对凸-凸型及凸-斜型斜齿球形齿轮副齿面修形可降低齿面印痕对安装误差的敏感性.

英文摘要：

Spherical helical gears with tooth flank modification were proposed to enhance loaded capacity and improve the sensitivity to assemble errors.The mathematical model of tooth surface was developed by the imagine rack-cutter and gearing theory,and the modification with parabolic curve of rack-cutter was applied to produce a required transmission error curve and improve meshing characteristics.Then,the tooth contact analysis model was established on the conditions of continuous tangency of two contact surface,of which the assemble errors were considered.The simulation results show that the capacity of loaded capacity and tooth contact ratio can be increased by the contact pattern of convex-concave type gears along the helical tooth traces,and the error sensitivity of contact pattern of the convex-convex and convex-helical types of spherical gears can be improved by tooth modification.