中文摘要：

对三次样条齿线圆柱齿轮滚切加工和齿面几何接触进行了分析.在推导修形滚刀齿面方程的基础上,利用三次样条齿线滚切原理和啮合方程得到其齿面数学模型;根据两齿面在啮合中连续相切条件,建立了考虑安装误差的齿面接触分析（TCA）模型.齿面接触分析仿真结果表明,用抛物线形齿廓刀具对齿面修形,可获得抛物线型的几何传动误差,改善了啮合性能;在安装误差条件下,调整控制结点位置可降低接触印痕对安装误差的敏感性.

英文摘要：

Contact characteristics and hobbing cutting of cylindrical gear with cubic spline tooth traces are investigated.On the basis of the derivation of the hobbing cutter＇s tooth surface,the hobbing generated method and gearing theory,the mathematical model of cylindrical gear with cubic spline tooth trace was developed.And,the tooth contact analysis model in which the assemble errors was also considerated,was established on the conditions of continuous tangency of two contact surfaces.The computerized simulation of meshing and contact shows that the meshing characteristics of the modified gears can be improved by using the generating tool with parabolic curved profile which obtains a parabolic transmission error curve;the sensitivity of contact pattern of the cylindrical gear with cubic spline tooth traces can be reduced by adjusting the position of control nodes.