Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters

A new dynamical model with five rigid frames (RFs), driven by two counter-rotating exciters, is proposed to explore the synchronization, stability, and motion characteristics of the system in this paper. The motion differential equations and the corresponding responses of the system are given firstl...

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Autores principales:	Wenchao Hu, Xueliang Zhang, Wei Zhang, Weihao Chen, Shiju Cui
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/c070666031ad44799e80e885c8b78880
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spelling	oai:doaj.org-article:c070666031ad44799e80e885c8b788802021-12-02T01:34:20ZStability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters1461-34842048-404610.1177/14613484211019643https://doaj.org/article/c070666031ad44799e80e885c8b788802021-12-01T00:00:00Zhttps://doi.org/10.1177/14613484211019643https://doaj.org/toc/1461-3484https://doaj.org/toc/2048-4046A new dynamical model with five rigid frames (RFs), driven by two counter-rotating exciters, is proposed to explore the synchronization, stability, and motion characteristics of the system in this paper. The motion differential equations and the corresponding responses of the system are given firstly. Using the average method, the average torque balance equations for the two exciters are deduced. According to the relationship between the difference of the dimensionless effective output electromagnetic torques for the two motors and the coupling torques of the system, the theory condition of realizing synchronization is obtained. Based on the Hamilton’s theory, the theory condition of stability of the system is deduced. The stability and motion characteristics of the system for different resonant regions are qualitatively discussed in numeric, including the stable phase difference of the two exciters, relative phase relationships among the five rigid frames, amplitude-frequency characteristics, stability coefficients, and the effective load torque between the two exciters. Simulations are carried out to further quantitatively validate the feasibility of the above theoretical and numerical qualitative results. It is shown that in engineering the reasonable working points of the system should be selected in Region II, only in this way, can the synchronous and stable relative linear motion of the system with the zero stable phase difference in vertical direction be realized, and in this case, the vibrations of the four inner rigid frames (IRFs) in the horizontal direction are compensated with each other, and the energy is also saved due to utilizing the resonant effect. Based on the present work, some new types of vibrating coolers/dryers or vibrating screening machines can be designed.Wenchao HuXueliang ZhangWei ZhangWeihao ChenShiju CuiSAGE 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 Wenchao Hu Xueliang Zhang Wei Zhang Weihao Chen Shiju Cui Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
description	A new dynamical model with five rigid frames (RFs), driven by two counter-rotating exciters, is proposed to explore the synchronization, stability, and motion characteristics of the system in this paper. The motion differential equations and the corresponding responses of the system are given firstly. Using the average method, the average torque balance equations for the two exciters are deduced. According to the relationship between the difference of the dimensionless effective output electromagnetic torques for the two motors and the coupling torques of the system, the theory condition of realizing synchronization is obtained. Based on the Hamilton’s theory, the theory condition of stability of the system is deduced. The stability and motion characteristics of the system for different resonant regions are qualitatively discussed in numeric, including the stable phase difference of the two exciters, relative phase relationships among the five rigid frames, amplitude-frequency characteristics, stability coefficients, and the effective load torque between the two exciters. Simulations are carried out to further quantitatively validate the feasibility of the above theoretical and numerical qualitative results. It is shown that in engineering the reasonable working points of the system should be selected in Region II, only in this way, can the synchronous and stable relative linear motion of the system with the zero stable phase difference in vertical direction be realized, and in this case, the vibrations of the four inner rigid frames (IRFs) in the horizontal direction are compensated with each other, and the energy is also saved due to utilizing the resonant effect. Based on the present work, some new types of vibrating coolers/dryers or vibrating screening machines can be designed.
format	article
author	Wenchao Hu Xueliang Zhang Wei Zhang Weihao Chen Shiju Cui
author_facet	Wenchao Hu Xueliang Zhang Wei Zhang Weihao Chen Shiju Cui
author_sort	Wenchao Hu
title	Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
title_short	Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
title_full	Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
title_fullStr	Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
title_full_unstemmed	Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
title_sort	stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/c070666031ad44799e80e885c8b78880
work_keys_str_mv	AT wenchaohu stabilityandmotioncharacteristicsinavibratingsystemwithfiverigidframesdrivenbytwocounterrotatingexciters AT xueliangzhang stabilityandmotioncharacteristicsinavibratingsystemwithfiverigidframesdrivenbytwocounterrotatingexciters AT weizhang stabilityandmotioncharacteristicsinavibratingsystemwithfiverigidframesdrivenbytwocounterrotatingexciters AT weihaochen stabilityandmotioncharacteristicsinavibratingsystemwithfiverigidframesdrivenbytwocounterrotatingexciters AT shijucui stabilityandmotioncharacteristicsinavibratingsystemwithfiverigidframesdrivenbytwocounterrotatingexciters
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Stability and motion characteristics in a vibrating system with five rigid frames driven by two counter-rotating exciters

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