Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame

In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system. The motion differential equations and vibration res...

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Autores principales:	Xueliang Zhang, Wenchao Hu, Zhiguo Gao, Yunshan Liu, Bang-Chun Wen
Formato:	article
Lenguaje:	EN
Publicado:	SAGE Publishing 2021
Materias:	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
Acceso en línea:	https://doaj.org/article/3a79689dc4a14639aba949eaef72f7c8
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spelling	oai:doaj.org-article:3a79689dc4a14639aba949eaef72f7c82021-12-02T02:06:21ZComposite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame1461-34842048-404610.1177/14613484211021508https://doaj.org/article/3a79689dc4a14639aba949eaef72f7c82021-12-01T00:00:00Zhttps://doi.org/10.1177/14613484211021508https://doaj.org/toc/1461-3484https://doaj.org/toc/2048-4046In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system. The motion differential equations and vibration responses of the system are given first. The theory condition for achieving composite synchronization of the system is obtained, by using the average method to deduce the average torque balance equations of the two pairs of vibrators. According to the Hamilton’s theory, the system stability condition is presented, and it is mainly determined by the structural parameters of the system. The synchronous stable regions and stability ability versus the key parameters of the system are qualitatively discussed in numeric, and further quantitatively verified by simulations. It is shown that, in engineering, the reasonable working points of the system, should be selected in the region where the stable phase difference of the two pairs of vibrators is stabilized in the vicinity of zero. Only in this way, can the exciting forces of the two pairs of vibrators be positively superposed, and the linear motion of the system in the vertical direction be realized.Xueliang ZhangWenchao HuZhiguo GaoYunshan LiuBang-Chun WenSAGE PublishingarticleControl engineering systems. Automatic machinery (General)TJ212-225Acoustics. SoundQC221-246ENJournal of Low Frequency Noise, Vibration and Active Control, Vol 40 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246
spellingShingle	Control engineering systems. Automatic machinery (General) TJ212-225 Acoustics. Sound QC221-246 Xueliang Zhang Wenchao Hu Zhiguo Gao Yunshan Liu Bang-Chun Wen Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
description	In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system. The motion differential equations and vibration responses of the system are given first. The theory condition for achieving composite synchronization of the system is obtained, by using the average method to deduce the average torque balance equations of the two pairs of vibrators. According to the Hamilton’s theory, the system stability condition is presented, and it is mainly determined by the structural parameters of the system. The synchronous stable regions and stability ability versus the key parameters of the system are qualitatively discussed in numeric, and further quantitatively verified by simulations. It is shown that, in engineering, the reasonable working points of the system, should be selected in the region where the stable phase difference of the two pairs of vibrators is stabilized in the vicinity of zero. Only in this way, can the exciting forces of the two pairs of vibrators be positively superposed, and the linear motion of the system in the vertical direction be realized.
format	article
author	Xueliang Zhang Wenchao Hu Zhiguo Gao Yunshan Liu Bang-Chun Wen
author_facet	Xueliang Zhang Wenchao Hu Zhiguo Gao Yunshan Liu Bang-Chun Wen
author_sort	Xueliang Zhang
title	Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
title_short	Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
title_full	Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
title_fullStr	Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
title_full_unstemmed	Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
title_sort	composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/3a79689dc4a14639aba949eaef72f7c8
work_keys_str_mv	AT xueliangzhang compositesynchronizationontwopairsofvibratorsinafarsuperresonantvibratingsystemwiththesinglerigidframe AT wenchaohu compositesynchronizationontwopairsofvibratorsinafarsuperresonantvibratingsystemwiththesinglerigidframe AT zhiguogao compositesynchronizationontwopairsofvibratorsinafarsuperresonantvibratingsystemwiththesinglerigidframe AT yunshanliu compositesynchronizationontwopairsofvibratorsinafarsuperresonantvibratingsystemwiththesinglerigidframe AT bangchunwen compositesynchronizationontwopairsofvibratorsinafarsuperresonantvibratingsystemwiththesinglerigidframe
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Composite synchronization on two pairs of vibrators in a far super-resonant vibrating system with the single rigid frame

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