Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction

In order to study the dynamics characteristic of the helical gear,according to the situation of helical gear pair in the process transmission,a 5- degree bending- torsion- shaft coupled dynamics model of single- stage helical gear transmission system is established with time- vary friction force. Ac...

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Main Authors: Kang Boqiang, Gou Xiangfeng
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2015-01-01
Series:Jixie chuandong
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.07.033
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author Kang Boqiang
Gou Xiangfeng
author_facet Kang Boqiang
Gou Xiangfeng
author_sort Kang Boqiang
collection DOAJ
description In order to study the dynamics characteristic of the helical gear,according to the situation of helical gear pair in the process transmission,a 5- degree bending- torsion- shaft coupled dynamics model of single- stage helical gear transmission system is established with time- vary friction force. According to the influence of contact ratio,the meshing time is divided. Based on Buckingham semi- empirical formula,the tooth surface friction coefficient variation with the meshing- point position is obtained. The movement differential equations are discussed by the variable step size Runge- Kutta method. The bifurcation diagrams,Lyapunov exponents,cloud pictures of the maximum amplitude and the amplitude- frequency characteristic superposition graphs are obtained and the system dynamics characteristic variation with frequency is analyzed. The strong resonance and amplitude jump phenomenon are happened under the conditions of a particular parameter.
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spelling doaj.art-1d555121f66e4e43bfed4092dba93d5e2023-05-26T09:39:05ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392015-01-013913614029917800Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface FrictionKang BoqiangGou XiangfengIn order to study the dynamics characteristic of the helical gear,according to the situation of helical gear pair in the process transmission,a 5- degree bending- torsion- shaft coupled dynamics model of single- stage helical gear transmission system is established with time- vary friction force. According to the influence of contact ratio,the meshing time is divided. Based on Buckingham semi- empirical formula,the tooth surface friction coefficient variation with the meshing- point position is obtained. The movement differential equations are discussed by the variable step size Runge- Kutta method. The bifurcation diagrams,Lyapunov exponents,cloud pictures of the maximum amplitude and the amplitude- frequency characteristic superposition graphs are obtained and the system dynamics characteristic variation with frequency is analyzed. The strong resonance and amplitude jump phenomenon are happened under the conditions of a particular parameter.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.07.033
spellingShingle Kang Boqiang
Gou Xiangfeng
Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
Jixie chuandong
title Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
title_full Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
title_fullStr Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
title_full_unstemmed Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
title_short Modeling and Dynamics Characteristic Analysis of Helical Gear System with Considering Tooth Surface Friction
title_sort modeling and dynamics characteristic analysis of helical gear system with considering tooth surface friction
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.07.033
work_keys_str_mv AT kangboqiang modelinganddynamicscharacteristicanalysisofhelicalgearsystemwithconsideringtoothsurfacefriction
AT gouxiangfeng modelinganddynamicscharacteristicanalysisofhelicalgearsystemwithconsideringtoothsurfacefriction