Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 1037479, 8 pages
Research Article

Research on Multiple-Split Load Sharing Characteristics of 2-Stage External Meshing Star Gear System in Consideration of Displacement Compatibility

1The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China
2School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300387, China
3State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China
4Tianjin Tanhas Group Co., Ltd., Tianjin 301600, China
5Precision and Intelligence Laboratory, Tokyo Institute of Technology, Yokohama 226-8503, Japan

Correspondence should be addressed to Shuai Mo

Received 7 July 2017; Revised 27 October 2017; Accepted 28 November 2017; Published 27 December 2017

Academic Editor: Anna Vila

Copyright © 2017 Shuai Mo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies the multiple-split load sharing mechanism of gears in two-stage external meshing planetary transmission system of aeroengine. According to the eccentric error, gear tooth thickness error, pitch error, installation error, and bearing manufacturing error, we performed the meshing error analysis of equivalent angles, respectively, and we also considered the floating meshing error caused by the variation of the meshing backlash, which is from the floating of all gears at the same time. Finally, we obtained the comprehensive angle meshing error of the two-stage meshing line, established a refined mathematical computational model of 2-stage external 3-split loading sharing coefficient in consideration of displacement compatibility, got the regular curves of the load sharing coefficient and load sharing characteristic curve of full floating multiple-split and multiple-stage system, and took the variation law of the floating track and the floating quantity of the center wheel. These provide a scientific theory to determine the load sharing coefficient, reasonable load distribution, and control tolerances in aviation design and manufacturing.