Paper Title:
General Mathematical Model of Internal Meshing Spiral Bevel Gears for Nutation Drive
  Abstract

The general mathematical model of internal meshing spiral bevel gears for nutation drive is studied. Based on conventional enveloping theory and transmission principle, the meshing of two spiral bevel gears in nutation drive was substituted by the meshing of an imaginary rotating crown gear engaging with the external and internal bevel gear respectively. The general mathematical model of crown gear was established. Then the general mathematical model of internal meshing spiral bevel gears is obtained by matrix transformation, which is suitable for a variety of gear tooth profiles. Finally, the mathematical model and 3D modeling of double circular-arc spiral bevel gears are developed.

  Info
Periodical
Chapter
Chapter 3: Engineering Design Theory and Methodology
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
708-712
DOI
10.4028/www.scientific.net/AMM.101-102.708
Citation
Z. Lin, L. G. Yao, "General Mathematical Model of Internal Meshing Spiral Bevel Gears for Nutation Drive", Applied Mechanics and Materials, Vols. 101-102, pp. 708-712, 2012
Online since
September 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Bing Gu, Li Gang Yao, Guo Wu Wei, Ying Jie Cai, Jian Sheng Dai
Abstract:Based on the nutation movement of a rotating coin on a table, the formulae for calculating the transmission ratio between two nutation gears...
949
Authors: Ai Mei Zhang, Lin Yan Li, Da Wei Li
Abstract:According to spiral bevel gear machining process, use the method of computer simulation to get the discrete points’ three-dimensional...
4256
Authors: Xun Cheng Wu, Jing Tao Han, Jia Fu Wang
Modeling, Analysis and Simulation of Manufacturing Processes
Abstract:It is an important and fundamental work to establish a general mathematical model for the gear tooth surfaces of spiral bevel and hypoid...
384
Authors: Qiang Li, Zi Liang Wei, Hong Bo Yan
Abstract:In this article it constructs tooth surface equation of a new type of bevel gear which is logarithmic spiral bevel gear by the tooth trace...
399
Authors: Rui Liang Zhang, Tie Wang, Zhi Fei Wu
Chapter 6: Frontiers of Mechanical Engineering (2)
Abstract:Tooth contact analysis (TCA) is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), and it...
3559