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...
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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2019/7350701 |
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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 |
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