Third-Order Surface Application to Determine the Tooth Contact Pattern of Hypoid Gears

Abstract

In the conventional theory for hypoid gears tooth surfaces are represented by second-order surfaces. However, for developing an excellent tooth bearing, this theory is not accurate enough because higher-order surfaces are required. This paper presents a new theory using third-order tooth surfaces instead of the conventional second-order surfaces. The results are useful for drawing accurate patterns of the tooth bearing and eliminating the need for trial-and-error methods to improve the tooth bearing.