Cargando…

Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system

The self-synchronization of rotors mounted on different vibrating bodies can be easily controlled by adjusting the coupling parameters. To reveal the synchronization characteristics of a weakly damped system with two rotors mounted on different vibrating bodies, we propose a simplified physical mode...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Bang, Xia, Xiao’ou, Wang, Xiaobo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6433223/
https://www.ncbi.nlm.nih.gov/pubmed/30908493
http://dx.doi.org/10.1371/journal.pone.0209703
_version_ 1783406263381524480
author Chen, Bang
Xia, Xiao’ou
Wang, Xiaobo
author_facet Chen, Bang
Xia, Xiao’ou
Wang, Xiaobo
author_sort Chen, Bang
collection PubMed
description The self-synchronization of rotors mounted on different vibrating bodies can be easily controlled by adjusting the coupling parameters. To reveal the synchronization characteristics of a weakly damped system with two rotors mounted on different vibrating bodies, we propose a simplified physical model. The topics described in this paper are related to coupling dynamic problems between two vibrating systems. Both synchronization and vibratory synchronization transmission of the system are studied. The coupling mechanism between the two rotors is analyzed to derive the synchronization condition and the stability criterion of the system. The vibration of the system is described by an averaging method that can separate fast motion (high frequency) from slow motion (low frequency). Theoretical research shows that vibration torque is the key factor in balancing the energy distribution between the rotors. Taking the maximum vibration torque (MVT) as a critical parameter, we investigate the synchronization characteristics of the vibrating system in different cases. The curve of the maximum vibration torque (MVT) versus coupling frequency is divided into several parts by the coupling characteristic frequency and the input torque difference between the rotors. Simulations of the system with coupling frequencies from different parts are carried out. For the system with rotational frequencies larger than the natural frequencies, the coupling characteristic frequency or characteristic frequency curve should be considered. When the coupling frequency is close to the characteristic frequency or the vibration state is close to the characteristic frequency curve, self-synchronization of the two rotors can be obtained easily. Under certain conditions when the coupling effect between the rotors is strong enough, the rotors can maintain synchronous rotation even when one of the two motors is shut off after synchronization is achieved, which is called vibratory synchronization transmission. Vibratory synchronization transmission of the system occurs in a new synchronous condition, and the phase difference between the rotors takes on a new value, that is, the system approaches a new synchronization state.
format Online
Article
Text
id pubmed-6433223
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-64332232019-04-08 Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system Chen, Bang Xia, Xiao’ou Wang, Xiaobo PLoS One Research Article The self-synchronization of rotors mounted on different vibrating bodies can be easily controlled by adjusting the coupling parameters. To reveal the synchronization characteristics of a weakly damped system with two rotors mounted on different vibrating bodies, we propose a simplified physical model. The topics described in this paper are related to coupling dynamic problems between two vibrating systems. Both synchronization and vibratory synchronization transmission of the system are studied. The coupling mechanism between the two rotors is analyzed to derive the synchronization condition and the stability criterion of the system. The vibration of the system is described by an averaging method that can separate fast motion (high frequency) from slow motion (low frequency). Theoretical research shows that vibration torque is the key factor in balancing the energy distribution between the rotors. Taking the maximum vibration torque (MVT) as a critical parameter, we investigate the synchronization characteristics of the vibrating system in different cases. The curve of the maximum vibration torque (MVT) versus coupling frequency is divided into several parts by the coupling characteristic frequency and the input torque difference between the rotors. Simulations of the system with coupling frequencies from different parts are carried out. For the system with rotational frequencies larger than the natural frequencies, the coupling characteristic frequency or characteristic frequency curve should be considered. When the coupling frequency is close to the characteristic frequency or the vibration state is close to the characteristic frequency curve, self-synchronization of the two rotors can be obtained easily. Under certain conditions when the coupling effect between the rotors is strong enough, the rotors can maintain synchronous rotation even when one of the two motors is shut off after synchronization is achieved, which is called vibratory synchronization transmission. Vibratory synchronization transmission of the system occurs in a new synchronous condition, and the phase difference between the rotors takes on a new value, that is, the system approaches a new synchronization state. Public Library of Science 2019-03-25 /pmc/articles/PMC6433223/ /pubmed/30908493 http://dx.doi.org/10.1371/journal.pone.0209703 Text en © 2019 Chen et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Chen, Bang
Xia, Xiao’ou
Wang, Xiaobo
Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title_full Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title_fullStr Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title_full_unstemmed Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title_short Synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
title_sort synchronization and vibratory synchronization transmission of a weakly damped far-resonance vibrating system
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6433223/
https://www.ncbi.nlm.nih.gov/pubmed/30908493
http://dx.doi.org/10.1371/journal.pone.0209703
work_keys_str_mv AT chenbang synchronizationandvibratorysynchronizationtransmissionofaweaklydampedfarresonancevibratingsystem
AT xiaxiaoou synchronizationandvibratorysynchronizationtransmissionofaweaklydampedfarresonancevibratingsystem
AT wangxiaobo synchronizationandvibratorysynchronizationtransmissionofaweaklydampedfarresonancevibratingsystem