Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill

The torsional vibration of the main drive system of the tandem cold rolling mill has serious consequences for the safe operation of the rolling mill and needs to be controlled in order to improve the safety and stability of the whole operation. Taking a cold tandem mill F3 frame as the research obje...

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Main Authors: He Yongling, Liao Binjie
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2017-01-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.12.018
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author He Yongling
Liao Binjie
author_facet He Yongling
Liao Binjie
author_sort He Yongling
collection DOAJ
description The torsional vibration of the main drive system of the tandem cold rolling mill has serious consequences for the safe operation of the rolling mill and needs to be controlled in order to improve the safety and stability of the whole operation. Taking a cold tandem mill F3 frame as the research object and the nonlinear torsional vibration simulation model of the main drive system of the tandem cold rolling mill is established which including nonlinear stiffness,nonlinear damping and non-linear friction at the load side. Because Hopf bifurcation is one of the important reasons to the unstable oscillation of the main drive system of the rolling mill,it is necessary for effective control of the phenomenon of Hopf bifurcation. Based on Hopf bifurcation theory,a nonlinear state feedback controller is constructed. Aiming at the nonlinear system,the Hopf bifurcation control method is proposed to enlarge the stable region,change the behavior of the bifurcation point and reduce the limit amplitude. The results show that the range of the stability region is greatly increased by enlarging the stable region,the limit amplitude is reduced by introducing the nonlinear feedback link. So by means of increasing the nonlinear feedback gain kn to change the behavior of the bifurcation point and reducing the persistent oscillation amplitude,the above methods all can achieve the effective control of self-excited vibration behavior and can be used as an important reference for the actual design choice.
format Article
id doaj-art-2dca8b7be36e408eb0c027820a698a42
institution Kabale University
issn 1004-2539
language zho
publishDate 2017-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-2dca8b7be36e408eb0c027820a698a422025-01-10T14:20:02ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-0141899629933770Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling MillHe YonglingLiao BinjieThe torsional vibration of the main drive system of the tandem cold rolling mill has serious consequences for the safe operation of the rolling mill and needs to be controlled in order to improve the safety and stability of the whole operation. Taking a cold tandem mill F3 frame as the research object and the nonlinear torsional vibration simulation model of the main drive system of the tandem cold rolling mill is established which including nonlinear stiffness,nonlinear damping and non-linear friction at the load side. Because Hopf bifurcation is one of the important reasons to the unstable oscillation of the main drive system of the rolling mill,it is necessary for effective control of the phenomenon of Hopf bifurcation. Based on Hopf bifurcation theory,a nonlinear state feedback controller is constructed. Aiming at the nonlinear system,the Hopf bifurcation control method is proposed to enlarge the stable region,change the behavior of the bifurcation point and reduce the limit amplitude. The results show that the range of the stability region is greatly increased by enlarging the stable region,the limit amplitude is reduced by introducing the nonlinear feedback link. So by means of increasing the nonlinear feedback gain kn to change the behavior of the bifurcation point and reducing the persistent oscillation amplitude,the above methods all can achieve the effective control of self-excited vibration behavior and can be used as an important reference for the actual design choice.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.12.018Cold rolling millNon-linearTorsional vibrationHopf bifurcationModel
spellingShingle He Yongling
Liao Binjie
Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
Jixie chuandong
Cold rolling mill
Non-linear
Torsional vibration
Hopf bifurcation
Model
title Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
title_full Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
title_fullStr Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
title_full_unstemmed Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
title_short Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill
title_sort analysis of the control strategy of non linear torsional vibration in the main driving system of cold rolling mill
topic Cold rolling mill
Non-linear
Torsional vibration
Hopf bifurcation
Model
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.12.018
work_keys_str_mv AT heyongling analysisofthecontrolstrategyofnonlineartorsionalvibrationinthemaindrivingsystemofcoldrollingmill
AT liaobinjie analysisofthecontrolstrategyofnonlineartorsionalvibrationinthemaindrivingsystemofcoldrollingmill