Study on the design and the shaping of the pitch surface of a multi-lobed non-circular bevel gear. (March 2016)

• Record Type: Journal Article
• Authors: Lv, Gang; Fan, Shouwen; Zhang, Xin
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 230:Number 4(2016:Apr.)
• Page Start: 542
• Page End: 553
• Publication Date: 2016-03
• Subjects: Pitch surface -- bevel gear -- transmission ratio -- Archimedes spiral -- shaping -- design defect; Mechanical engineering -- Congresses; Transportation engineering -- Congresses; 629.2
• DOI: 10.1177/0954407015589885
• Languages: English
• ISSNs: 0954-4070

Abstract

In order to extend the type of multi-lobed non-circular bevel gear, some curves such as an Archimedes spiral, a quadratic curve and a Pascal curve are applied to the design of the pitch surface of a multi-lobed non-circular bevel gear. With the aim of studying the design defects of a multi-lobed non-circular bevel gear which has a pitch surface with a concave cusp or a convex cusp, a novel pitch-surface-shaping method is presented to shape the concave cusp or the convex cusp of the pitch surface of a multi-lobed non-circular bevel gear. A section of the pitch surface of the cutter is used to replace the concave or convex pitch surface of the multi-lobed non-circular bevel gear by using the above shaping method. Mathematical models of the pitch surface with multi-stage space curves for a multi-lobed non-circular bevel gear are established. Numerical examples demonstrate that the shaping method is beneficial for improving the machining quality of the teeth profile as well as the transmission performance of a multi-lobed non-circular bevel gear.