NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR

A rotor system in rubbing is shown to exhibit complex phenomena including period-doubling bifurcation,quasiperiodic and chaotic motions due to itsstrongly nonlinear dynamic characteristics. Based on the mechanical model of a single-disk flexible Jeffcott rotor,the fourth-order Runge-Kutta method wit...

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Main Author: LIU DeQiang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2021-01-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.02.004
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author LIU DeQiang
author_facet LIU DeQiang
author_sort LIU DeQiang
collection DOAJ
description A rotor system in rubbing is shown to exhibit complex phenomena including period-doubling bifurcation,quasiperiodic and chaotic motions due to itsstrongly nonlinear dynamic characteristics. Based on the mechanical model of a single-disk flexible Jeffcott rotor,the fourth-order Runge-Kutta method with variable step size was used for numerical simulation. The essential relationship between the model parameters and the dynamic characteristics of the system is studied by used periodic bifurcation diagrams,axis trajectory diagrams,Poincaré section diagrams and maximum rubbing force diagrams. The simulation results show that the change of stiffness ratio has great influence on the dynamic characteristics of the system. With the increase of damping coefficient,the type of periodic motion mode of the system decreases obviously,and the chaotic region decreases accordingly. When the eccentricity ratio increases,the dynamic characteristics of the system become more complex. Meanwhile,the maximum rubbing force increases significantly,and the rubbing events of the rotor system become more serious. The calculation and analysis in this paper may be helpful for avoided rubbing events and limited maximum friction in the design of single-disk flexible rotor.
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institution Kabale University
issn 1001-9669
language zho
publishDate 2021-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-9222759ea9574b3fb19c2699782856b02025-01-15T02:26:14ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692021-01-014327528030610231NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTORLIU DeQiangA rotor system in rubbing is shown to exhibit complex phenomena including period-doubling bifurcation,quasiperiodic and chaotic motions due to itsstrongly nonlinear dynamic characteristics. Based on the mechanical model of a single-disk flexible Jeffcott rotor,the fourth-order Runge-Kutta method with variable step size was used for numerical simulation. The essential relationship between the model parameters and the dynamic characteristics of the system is studied by used periodic bifurcation diagrams,axis trajectory diagrams,Poincaré section diagrams and maximum rubbing force diagrams. The simulation results show that the change of stiffness ratio has great influence on the dynamic characteristics of the system. With the increase of damping coefficient,the type of periodic motion mode of the system decreases obviously,and the chaotic region decreases accordingly. When the eccentricity ratio increases,the dynamic characteristics of the system become more complex. Meanwhile,the maximum rubbing force increases significantly,and the rubbing events of the rotor system become more serious. The calculation and analysis in this paper may be helpful for avoided rubbing events and limited maximum friction in the design of single-disk flexible rotor.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.02.004RubbingPeriodic motionNonlinearBifurcation
spellingShingle LIU DeQiang
NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
Jixie qiangdu
Rubbing
Periodic motion
Nonlinear
Bifurcation
title NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
title_full NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
title_fullStr NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
title_full_unstemmed NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
title_short NONLINEAR DYNAMICS ANALYSIS OF A SINGLE-DISK FLEXIBLE RUBBING ROTOR
title_sort nonlinear dynamics analysis of a single disk flexible rubbing rotor
topic Rubbing
Periodic motion
Nonlinear
Bifurcation
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.02.004
work_keys_str_mv AT liudeqiang nonlineardynamicsanalysisofasinglediskflexiblerubbingrotor