Accurate modeling of spiral bevel and hypoid gear is the foundation of the tooth contact analysis(TCA) technology and error correction technology of the tooth surface,which is the key technology in digitized manufacturing. This paper summarized the related achievements and divided the methods of modeling spiral bevel and hypoid gear into three categories,including modeling by discrete points on the tooth surface,curve fitting,and simulation machining,and generalized the main steps and the key ideas of each method. At the same time,this paper analyzed the problems and inadequacies existing in the process of model design. Three directions were proposed for modeling of spiral bevel and hypoid gear in the future,that are more accuracy,more efficiency and more flexibility. The paper provides some methods that make the design and machining of spiral bevel and hypoid gear faster and more accurately.在弧齿锥齿轮和准双曲面齿轮的数字化制造中,精确模型是其关键技术—齿面接触分析技术(TCA)和齿面误差修正技术的基础。总结和归纳了近些年来国内外相关研究成果,将弧齿锥齿轮和准双曲面齿轮的模型设计方法分成离散点、曲线拟合、仿真加工模型设计3种类型,并概括了其关键思想与步骤。同时,分析了模型设计过程中存在的一些问题与不足,整合先进方法和思想,对未来弧齿锥齿轮和准双曲面齿轮模型设计研究提出了高精度、高效率、高柔性3个发展方向,为弧齿锥齿轮和准双曲面齿轮更加快捷精确地设计和加工提供了参考。
