Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction

Aiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts th...

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Main Authors:	Su Ming, Li Rong, Xie Zhiping, Zheng Jiming
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Shock and Vibration
Online Access:	http://dx.doi.org/10.1155/2021/8892919

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spelling	doaj-4ac59afb71dd438a93af24bfc1680b072021-02-15T12:52:46ZengHindawi LimitedShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/88929198892919Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same DirectionSu Ming0Li Rong1Xie Zhiping2Zheng Jiming3School of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaSchool of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550025, ChinaAiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts the relative motion of the electrically driven eccentric rotor and the vibration environment into a second-order periodic coefficient differential equation. Through the calculation of the equilibrium point of the second-order periodic coefficient differential equation and the study of its stability, the synchronization criterion and the stability criterion of the eccentric rotor and the vibration environment are deduced. The simulation results show the validity of the deduced synchronization criterion and stability criterion. The proposed IMM-SPPC provides a new way for studying vibration synchronization.http://dx.doi.org/10.1155/2021/8892919
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Su Ming Li Rong Xie Zhiping Zheng Jiming
spellingShingle	Su Ming Li Rong Xie Zhiping Zheng Jiming Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction Shock and Vibration
author_facet	Su Ming Li Rong Xie Zhiping Zheng Jiming
author_sort	Su Ming
title	Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
title_short	Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
title_full	Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
title_fullStr	Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
title_full_unstemmed	Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction
title_sort	theory of frequency captured of eccentric rotor by vibration environment with same direction
publisher	Hindawi Limited
series	Shock and Vibration
issn	1070-9622 1875-9203
publishDate	2021-01-01
description	Aiming at the frequency synchronization phenomena of oscillating or rotating bodies, this paper proposes a novel solution to address the self-synchronization problem of vibration systems. An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts the relative motion of the electrically driven eccentric rotor and the vibration environment into a second-order periodic coefficient differential equation. Through the calculation of the equilibrium point of the second-order periodic coefficient differential equation and the study of its stability, the synchronization criterion and the stability criterion of the eccentric rotor and the vibration environment are deduced. The simulation results show the validity of the deduced synchronization criterion and stability criterion. The proposed IMM-SPPC provides a new way for studying vibration synchronization.
url	http://dx.doi.org/10.1155/2021/8892919
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Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction

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