External high-order multistage modified elliptical helical gears and design procedure of their gear pairs. (October 2016)

• Record Type: Journal Article
• Authors: Han, Jiang; Liu, Youyu; Li, Dazhu; Xia, Lian
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 230:Number 16(2016)
• Page Start: 2929
• Page End: 2939
• Publication Date: 2016-10
• Subjects: Non-circular gears -- external gears -- high-order multistage modified ellipse -- helical gears -- gear pairs; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/0954406215603738
• Languages: English
• ISSNs: 0954-4062

Abstract

In view of the limited quantity of modified segments for high-order and two-stage modified elliptical helical gears, and poor adjustment capacity for transmission ratio, the formation mechanism of a high-order multistage modified ellipse was studied, and a unified mathematical expression of the family of ellipses was derived. Thus, a design procedure for the helical gear pairs of the high-order multistage modified ellipse was suggested, and then their transmission characteristics were discussed exhaustively. Moreover, some checking methods such as curvature radius of pitch curve, convexity, pressure angle, undercutting, and contact ratio were offered. Finally, two design cases, including two-order and three-stage modified elliptical helical gear pair and two-order and four-stage one, were implemented. The cases indicate that a high-order multistage modified elliptical helical gear can be utilized in practice.