A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation

A new modeling method is proposed to simulate the dynamic response of a two-stage gear transmission system using the finite element method (FEM). The continuous system is divided into four modules: shaft-shaft element, shaft-gear element, shaft-bearing element, and gear-gear element. According to th...

Full description

Saved in:
Bibliographic Details
Main Authors: Zizhen Qiao, Jianxing Zhou, Wenlei Sun, Xiangfeng Zhang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/7350701
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832565790458511360
author Zizhen Qiao
Jianxing Zhou
Wenlei Sun
Xiangfeng Zhang
author_facet Zizhen Qiao
Jianxing Zhou
Wenlei Sun
Xiangfeng Zhang
author_sort Zizhen Qiao
collection DOAJ
description A new modeling method is proposed to simulate the dynamic response of a two-stage gear transmission system using the finite element method (FEM). The continuous system is divided into four modules: shaft-shaft element, shaft-gear element, shaft-bearing element, and gear-gear element. According to the FEM, the model is built with each element assembled. Meanwhile, the model considers the time-varying mesh stiffness (TVMS), bearing time-varying stiffness (BTVS), and the shaft flexibility. The Newmark integration method (NIM) is used to obtain the dynamic response of the spur gear system. Results show that vibration amplitude and the number of frequency components decrease after considering shaft flexibility through comparing the gear dynamic response under the condition of flexible shaft and rigid shaft. When the effect of bearing stiffness is considered, there will be a bearing passing frequency component in the frequency spectrum. In addition, the result shows that the simulation and experimental test of the frequency component are basically consistent. Furthermore, the theoretical model is validated against an experimental platform of the two-stage gear transmission system and the dynamic responses are compared under the condition of increasing speed. Additionally, the increase of shaft stiffness not only changes some of the dominant mode shapes (torsional mode shapes) but also makes the number of primary resonance speeds added. The method can be used to guide the design of gear systems.
format Article
id doaj-art-73ec46b8ba6c433ebc72da851de6fe27
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-73ec46b8ba6c433ebc72da851de6fe272025-02-03T01:06:41ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/73507017350701A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying ExcitationZizhen Qiao0Jianxing Zhou1Wenlei Sun2Xiangfeng Zhang3State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, ChinaState Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, ChinaXinjiang University, School of Mechanical Engineering, Urumqi 830047, ChinaXinjiang University, School of Mechanical Engineering, Urumqi 830047, ChinaA new modeling method is proposed to simulate the dynamic response of a two-stage gear transmission system using the finite element method (FEM). The continuous system is divided into four modules: shaft-shaft element, shaft-gear element, shaft-bearing element, and gear-gear element. According to the FEM, the model is built with each element assembled. Meanwhile, the model considers the time-varying mesh stiffness (TVMS), bearing time-varying stiffness (BTVS), and the shaft flexibility. The Newmark integration method (NIM) is used to obtain the dynamic response of the spur gear system. Results show that vibration amplitude and the number of frequency components decrease after considering shaft flexibility through comparing the gear dynamic response under the condition of flexible shaft and rigid shaft. When the effect of bearing stiffness is considered, there will be a bearing passing frequency component in the frequency spectrum. In addition, the result shows that the simulation and experimental test of the frequency component are basically consistent. Furthermore, the theoretical model is validated against an experimental platform of the two-stage gear transmission system and the dynamic responses are compared under the condition of increasing speed. Additionally, the increase of shaft stiffness not only changes some of the dominant mode shapes (torsional mode shapes) but also makes the number of primary resonance speeds added. The method can be used to guide the design of gear systems.http://dx.doi.org/10.1155/2019/7350701
spellingShingle Zizhen Qiao
Jianxing Zhou
Wenlei Sun
Xiangfeng Zhang
A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
Shock and Vibration
title A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
title_full A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
title_fullStr A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
title_full_unstemmed A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
title_short A Coupling Dynamics Analysis Method for Two-Stage Spur Gear under Multisource Time-Varying Excitation
title_sort coupling dynamics analysis method for two stage spur gear under multisource time varying excitation
url http://dx.doi.org/10.1155/2019/7350701
work_keys_str_mv AT zizhenqiao acouplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT jianxingzhou acouplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT wenleisun acouplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT xiangfengzhang acouplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT zizhenqiao couplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT jianxingzhou couplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT wenleisun couplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation
AT xiangfengzhang couplingdynamicsanalysismethodfortwostagespurgearundermultisourcetimevaryingexcitation