标题：Design Method for N-Lobed Noncircular Bevel Gears
作者：Shi, Kan; Yao, Yan-An; Lin, Shuai
作者机构：[Shi, Kan; Yao, Yan-An; Lin, Shuai] Shandong Univ Sci & Technol, Coll Mech & Elect Engn, Qingdao, Peoples R China.
通讯作者地址：[Shi, K]Shandong Univ Sci & Technol, J8-419,579 Qianwangang Rd, Qingdao 266590, Shandong, Peoples R China.
来源：ADVANCES IN MECHANICAL ENGINEERING
关键词：intersection axis; variable transmission; noncircular bevel gears; tooth; profile; pitch curve; addendum and dedendum curves
摘要：As a type of spatial transmission mechanism, noncircular bevel gears (NBGs) can transfer power and motion between two intersecting axes with variable transmission following a suitable program of motion. Utilizing the spherical triangle theorem and meshing principle, parametric equations are established in the spherical polar coordinate system for the driving and driven gears, for the pitch curves, and for the addendum and dedendum curves of a NBG for a given transmission ratio and axis angle. A formulation of the tooth profile of a NBG is deduced using an analytic method. Three-dimensional models of the 3- and 4-lobed NBGs are derived in verifying this method.