Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear

Taking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. Based on the bifurcation diagram and Poincare map, the influence of backlash, input torque,...

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Main Authors: Rongju Liu, Fuzhong Chen, Yongjun Shi, Yongsheng Zhao
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2019-09-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.09.005
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author Rongju Liu
Fuzhong Chen
Yongjun Shi
Yongsheng Zhao
author_facet Rongju Liu
Fuzhong Chen
Yongjun Shi
Yongsheng Zhao
author_sort Rongju Liu
collection DOAJ
description Taking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. Based on the bifurcation diagram and Poincare map, the influence of backlash, input torque, their coupling effect and the support stiffness of the main and follower gear bearings on the vibration characteristics of the system is studied. The results show that under a certain input torque, the system transits from single-period response to chaos through bifurcation and catastrophe with the increase of backlash. Under a certain backlash, the system transits from chaos to one-period response through inverted bifurcation and catastrophe with the increase of input torque. When the input torque is large, the backlash has little effect on the system response. The stiffness of the follower gear bearing has a great influence on the vibration characteristics of the system.
format Article
id doaj-art-87063476db6743aa96cf1c547c30f7ac
institution Kabale University
issn 1004-2539
language zho
publishDate 2019-09-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-87063476db6743aa96cf1c547c30f7ac2025-01-10T13:58:01ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392019-09-0143283430642450Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage GearRongju LiuFuzhong ChenYongjun ShiYongsheng ZhaoTaking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. Based on the bifurcation diagram and Poincare map, the influence of backlash, input torque, their coupling effect and the support stiffness of the main and follower gear bearings on the vibration characteristics of the system is studied. The results show that under a certain input torque, the system transits from single-period response to chaos through bifurcation and catastrophe with the increase of backlash. Under a certain backlash, the system transits from chaos to one-period response through inverted bifurcation and catastrophe with the increase of input torque. When the input torque is large, the backlash has little effect on the system response. The stiffness of the follower gear bearing has a great influence on the vibration characteristics of the system.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.09.005BacklashInput-torqueSupport stiffnessBending-torsion couplingVibration characteristic
spellingShingle Rongju Liu
Fuzhong Chen
Yongjun Shi
Yongsheng Zhao
Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
Jixie chuandong
Backlash
Input-torque
Support stiffness
Bending-torsion coupling
Vibration characteristic
title Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
title_full Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
title_fullStr Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
title_full_unstemmed Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
title_short Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear
title_sort study on the nonlinear vibration characteristic of bending torsional coupled single stage gear
topic Backlash
Input-torque
Support stiffness
Bending-torsion coupling
Vibration characteristic
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2019.09.005
work_keys_str_mv AT rongjuliu studyonthenonlinearvibrationcharacteristicofbendingtorsionalcoupledsinglestagegear
AT fuzhongchen studyonthenonlinearvibrationcharacteristicofbendingtorsionalcoupledsinglestagegear
AT yongjunshi studyonthenonlinearvibrationcharacteristicofbendingtorsionalcoupledsinglestagegear
AT yongshengzhao studyonthenonlinearvibrationcharacteristicofbendingtorsionalcoupledsinglestagegear