Mathematical Modeling and Simulation of the External and Internal Double Circular-Arc Spiral Bevel Gears for the Nutation Drive

Ligang Yao, Bing Gu, Shujuan Haung, Guowu Wei, Jian S. Dai

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

The purpose of this paper is to propose a pair of external and internal spiral bevel gears with double circular-arc in the nutation drive. Based on the movement of nutation, this paper develops equations of the tooth profiles for the gear set, leading to the mathematical modeling of the spiral bevel gear with a constant helical angle gear alignment curve, enabling the tooth surface to be generated, and permitting the theoretical contacting lines to be produced in light of the meshing function. Simulation and verification are carried out to prove the mathematical equations. Numerical control (NC) simulation of machining the external and internal double circular-arc spiral bevel gears is developed, and the spiral gears were manufactured on a NC milling machine. The prototype of the nutation drive is illustrated in the case study at the end of this paper. [DOI: 10.1115/1.4001003]
Original languageEnglish
Article number021008
Pages (from-to)210081-2100810
Number of pages1890730
JournalJournal of Mechanical Design
Volume132
Issue number2
Publication statusPublished - Feb 2010

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