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...

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Main Authors: Zhenmin Li, Xueliang Zhang, Weihao Chen, Bangchun Wen
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016822007335
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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.
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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
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AT xueliangzhang synchronizationcharacteristicsoftwovibratordrivenpendulums
AT weihaochen synchronizationcharacteristicsoftwovibratordrivenpendulums
AT bangchunwen synchronizationcharacteristicsoftwovibratordrivenpendulums