渐开螺旋面参数网与渐开线齿轮精度分析

Parameter Curvilinear Nets of the Involute Helicoid and Precision Analysis of the involute gear

给出了渐开螺旋面４种新参数曲线网，加上原来的两种共６种。齿轮的不同加工方法可以各自对应一种参数曲线网（或称数学模型），描述不同加工方法的齿面构形，成为精确方便的数学工具。本文给出了６种参数曲线网之间的转换矩阵。这更便于精度分析及精度转换分析。

In this paper four new parametercurvilinear nets of the involute helicoid aregiven. In addition two old nets are wellknown six nets. One means of gear machining.corresponds to one of parameter curvilinearnets (or mathematical model). Mathematicalmodels which describe accuratly flank structure for gear machining means be come the accurate and convenient mathematical tools.And what is more various translative matrixesamong six parameter curvilinear nets are give.These means and tools are more covenien toanalysis of precision and translative analysis.