Synchronization characteristics of two vibrator-driven pendulums
In this paper, a dynamic model with two vibrator-driven pendulums is presented. Each pendulum is motivated by a pair of vibrators mounted on it. According to the deduced synchronization criteria of the pendulums and the vibrators, the synchronous states of pendulums are determined by the phase diffe...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2023-02-01
|
Series: | Alexandria Engineering Journal |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822007335 |
_version_ | 1797961148921806848 |
---|---|
author | Zhenmin Li Xueliang Zhang Weihao Chen Bangchun Wen |
author_facet | Zhenmin Li Xueliang Zhang Weihao Chen Bangchun Wen |
author_sort | Zhenmin Li |
collection | DOAJ |
description | In this paper, a dynamic model with two vibrator-driven pendulums is presented. Each pendulum is motivated by a pair of vibrators mounted on it. According to the deduced synchronization criteria of the pendulums and the vibrators, the synchronous states of pendulums are determined by the phase differences of vibrators. The two pendulums achieve anti-phase synchronization when the phase differences of arbitrary-two vibrators are all stabilized around zero. If the phase differences of the two vibrators mounted on the same pendulum are zero whereas those on different pendulums are π, the pendulums will arrive at the in-phase synchronous state. Besides, the system shows a relatively good isolative effect under the anti-phase synchronous motion of the two pendulums. Based on the theoretical results, some numerical qualitative analyses are presented and simulations are implemented for verification. The dynamic model in this paper can offer guidance to design a kind of vibrating jaw crusher. Here, the two pendulums serve as movable jaws and work by the anti-phase synchronous swing motion trajectory. |
first_indexed | 2024-04-11T00:54:51Z |
format | Article |
id | doaj.art-d802da66c35d4e6ab226ebd067717180 |
institution | Directory Open Access Journal |
issn | 1110-0168 |
language | English |
last_indexed | 2024-04-11T00:54:51Z |
publishDate | 2023-02-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
spelling | doaj.art-d802da66c35d4e6ab226ebd0677171802023-01-05T06:46:42ZengElsevierAlexandria Engineering Journal1110-01682023-02-0164907921Synchronization characteristics of two vibrator-driven pendulumsZhenmin Li0Xueliang Zhang1Weihao Chen2Bangchun Wen3School of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning 110819, P R ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning 110819, P R China; Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning 110819, P R China; Corresponding author.School of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning 110819, P R ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning 110819, P R ChinaIn this paper, a dynamic model with two vibrator-driven pendulums is presented. Each pendulum is motivated by a pair of vibrators mounted on it. According to the deduced synchronization criteria of the pendulums and the vibrators, the synchronous states of pendulums are determined by the phase differences of vibrators. The two pendulums achieve anti-phase synchronization when the phase differences of arbitrary-two vibrators are all stabilized around zero. If the phase differences of the two vibrators mounted on the same pendulum are zero whereas those on different pendulums are π, the pendulums will arrive at the in-phase synchronous state. Besides, the system shows a relatively good isolative effect under the anti-phase synchronous motion of the two pendulums. Based on the theoretical results, some numerical qualitative analyses are presented and simulations are implemented for verification. The dynamic model in this paper can offer guidance to design a kind of vibrating jaw crusher. Here, the two pendulums serve as movable jaws and work by the anti-phase synchronous swing motion trajectory.http://www.sciencedirect.com/science/article/pii/S1110016822007335Isolative effectStabilitySynchronizationVibrator-driven pendulum |
spellingShingle | Zhenmin Li Xueliang Zhang Weihao Chen Bangchun Wen Synchronization characteristics of two vibrator-driven pendulums Alexandria Engineering Journal Isolative effect Stability Synchronization Vibrator-driven pendulum |
title | Synchronization characteristics of two vibrator-driven pendulums |
title_full | Synchronization characteristics of two vibrator-driven pendulums |
title_fullStr | Synchronization characteristics of two vibrator-driven pendulums |
title_full_unstemmed | Synchronization characteristics of two vibrator-driven pendulums |
title_short | Synchronization characteristics of two vibrator-driven pendulums |
title_sort | synchronization characteristics of two vibrator driven pendulums |
topic | Isolative effect Stability Synchronization Vibrator-driven pendulum |
url | http://www.sciencedirect.com/science/article/pii/S1110016822007335 |
work_keys_str_mv | AT zhenminli synchronizationcharacteristicsoftwovibratordrivenpendulums AT xueliangzhang synchronizationcharacteristicsoftwovibratordrivenpendulums AT weihaochen synchronizationcharacteristicsoftwovibratordrivenpendulums AT bangchunwen synchronizationcharacteristicsoftwovibratordrivenpendulums |