Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force

An expression for the dynamic rolling force of a rolling mill is derived in terms of the vibration and process parameters by analyzing the dynamic rolling process. A nonlinear vibration model of the rolling mill rolls is established. The amplitude-frequency and bifurcation equations are obtained usi...

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Autor principal:	Rongrong Peng
Formato:	article
Lenguaje:	EN
Publicado:	JVE International 2021
Materias:	rolling mill dynamic rolling force time-delayed displacement control singularity bifurcation Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/43fe59d5fe3045c983a140f568d59cca
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spelling	oai:doaj.org-article:43fe59d5fe3045c983a140f568d59cca2021-11-15T19:20:56ZNonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force1392-87162538-846010.21595/jve.2021.21939https://doaj.org/article/43fe59d5fe3045c983a140f568d59cca2021-08-01T00:00:00Zhttps://www.jvejournals.com/article/21939https://doaj.org/toc/1392-8716https://doaj.org/toc/2538-8460An expression for the dynamic rolling force of a rolling mill is derived in terms of the vibration and process parameters by analyzing the dynamic rolling process. A nonlinear vibration model of the rolling mill rolls is established. The amplitude-frequency and bifurcation equations are obtained using a multi-scale approximation method, to solve the dynamic equation with time-delayed displacement control. With a 1780 rolling mill as an example, it is found that the primary and cubic stiffness due to the dynamic rolling force and external excitation lead to a jump phenomenon in the vibration system, making it unstable. When the gain coefficient and delay time are taken reasonably, the amplitude of the vibration system is reduced, the resonance region shrinks, and the jump is eliminated. Finally, the bifurcation topological curve corresponding to the transition set of the vibration system is studied using the singularity theory, with and without time-delayed displacement control. The results show that the vibration of the rolling mill rolls can be restrained by varying the initial parameters and through the time-delayed displacement control. Thus, the established vibration model of the rolling mill is verified, and the effectiveness of the time-delayed displacement control in reducing the rolling mill vibration is confirmed.Rongrong PengJVE Internationalarticlerolling milldynamic rolling forcetime-delayed displacement controlsingularitybifurcationMechanical engineering and machineryTJ1-1570ENJournal of Vibroengineering, Vol 23, Iss 7, Pp 1535-1548 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	rolling mill dynamic rolling force time-delayed displacement control singularity bifurcation Mechanical engineering and machinery TJ1-1570
spellingShingle	rolling mill dynamic rolling force time-delayed displacement control singularity bifurcation Mechanical engineering and machinery TJ1-1570 Rongrong Peng Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
description	An expression for the dynamic rolling force of a rolling mill is derived in terms of the vibration and process parameters by analyzing the dynamic rolling process. A nonlinear vibration model of the rolling mill rolls is established. The amplitude-frequency and bifurcation equations are obtained using a multi-scale approximation method, to solve the dynamic equation with time-delayed displacement control. With a 1780 rolling mill as an example, it is found that the primary and cubic stiffness due to the dynamic rolling force and external excitation lead to a jump phenomenon in the vibration system, making it unstable. When the gain coefficient and delay time are taken reasonably, the amplitude of the vibration system is reduced, the resonance region shrinks, and the jump is eliminated. Finally, the bifurcation topological curve corresponding to the transition set of the vibration system is studied using the singularity theory, with and without time-delayed displacement control. The results show that the vibration of the rolling mill rolls can be restrained by varying the initial parameters and through the time-delayed displacement control. Thus, the established vibration model of the rolling mill is verified, and the effectiveness of the time-delayed displacement control in reducing the rolling mill vibration is confirmed.
format	article
author	Rongrong Peng
author_facet	Rongrong Peng
author_sort	Rongrong Peng
title	Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
title_short	Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
title_full	Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
title_fullStr	Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
title_full_unstemmed	Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
title_sort	nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force
publisher	JVE International
publishDate	2021
url	https://doaj.org/article/43fe59d5fe3045c983a140f568d59cca
work_keys_str_mv	AT rongrongpeng nonlinearvibrationcharacteristicsandtimedelayeddisplacementcontrolofrollingmillunderdynamicrollingforce
_version_	1718426840475893760

Nonlinear vibration characteristics and time-delayed displacement control of rolling mill under dynamic rolling force

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