Vibration optimization of spur gear based on GSA-SA algorithm

Linyue Qiu; Xiangying Hou; Shushen Gao; Zhengminqing Li; Rupeng Zhu

doi:10.1371/journal.pone.0293460

Vibration optimization of spur gear based on GSA-SA algorithm

PLoS One. 2023 Nov 1;18(11):e0293460. doi: 10.1371/journal.pone.0293460. eCollection 2023.

Authors

Linyue Qiu^{1

2}, Xiangying Hou^{1

2}, Shushen Gao^{1

2}, Zhengminqing Li^{1

2}, Rupeng Zhu^{1

2}

Affiliations

¹ College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China.
² National Key Laboratory of Helicopter Aeromechanics, Nanjing, Jiangsu, China.

Abstract

To determine the optimal design parameters of spur gear under a specific condition, based on the basic theories of gear dynamics theory, gear meshing principle, tooth contact analysis and load tooth contact analysis, a six-degree-of-freedom vibration analysis model of spur gear pair is established, and a gravitational search-simulated annealing hybrid algorithm (GSA-SA) is used to optimize the gear addendum modification coefficient and profile modification parameters. The vibration response of the spur gear pair is evaluated through the optimization objective function established by the combination of the G1 method and variation coefficient method. The study shows that the optimized design parameters effectively reduce the level of the vibration, which proves the effectiveness of the optimization method, and the simultaneous optimization of the addendum modification coefficient and profile modification parameters of the gear has a better result than only optimizing the addendum modification coefficient or profile modification parameters. This method can be used for gear transmission system vibration optimization design in the automotive industry and shipbuilding.

Copyright: © 2023 Qiu et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Industry
Vibration*

Grants and funding

1.National Key Research and Development Plan (Grant No.: 2020YFB2008100) Funder: Ministry of Science and Technology of the People´s Republic of China https://www.most.gov.cn/index.html The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. 2.National Natural Science Foundation of China (Grant No.: 52105060) Funder: National Natural Science Foundation of China https://www.nsfc.gov.cn/ The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. 3. Natural Science Foundation of Jiangsu Province (Grant No.: BK20200428) http://kxjst.jiangsu.gov.cn/ The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.