Selected synchronous state of the vibration system driven by three homodromy eccentric rotors

In order to verify that the vibration system driven by multi-eccentric rotors has multiple synchronous states, a model of three eccentric rotors horizontal installation of plane motion is established to study the coupling dynamic characteristics. Based on the average method of modified small paramet...

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Main Authors: Xiaozhe Chen, Lingxuan Li
Format: Article
Language:English
Published: SAGE Publishing 2020-06-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348419844646
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author Xiaozhe Chen
Lingxuan Li
author_facet Xiaozhe Chen
Lingxuan Li
author_sort Xiaozhe Chen
collection DOAJ
description In order to verify that the vibration system driven by multi-eccentric rotors has multiple synchronous states, a model of three eccentric rotors horizontal installation of plane motion is established to study the coupling dynamic characteristics. Based on the average method of modified small parameters, the frequency capture equation is constructed to obtain the conditions of synchronous motion and vibration synchronization transmission. According to the synchronous conditions, the stability state of achieving synchronous motion is converted into the solution of balance equation of the synchronous torque. There are multiple solutions to the torque equation because of the non-linear characteristics of the vibration system driven by multi-eccentric rotors. Then the stability condition is used to estimate which of the solutions is stable. After substituting the parameters of the experimental machine into the above method, the curves of the phase difference and its stability coefficients of three eccentric rotors system are obtained numerically. Two experiments show that the selected synchronous state depends on the initial condition and external disturbance, and if the vibration synchronization transmission conditions are satisfied, three eccentric rotors can not only achieve vibration synchronization transmission of one motor with switching off the power but also that of two motors with switching off the power.
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spelling doaj.art-8dcaefd767d5436d8d9e1eb8e3d48fa32022-12-21T23:41:59ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462020-06-013910.1177/1461348419844646Selected synchronous state of the vibration system driven by three homodromy eccentric rotorsXiaozhe ChenLingxuan LiIn order to verify that the vibration system driven by multi-eccentric rotors has multiple synchronous states, a model of three eccentric rotors horizontal installation of plane motion is established to study the coupling dynamic characteristics. Based on the average method of modified small parameters, the frequency capture equation is constructed to obtain the conditions of synchronous motion and vibration synchronization transmission. According to the synchronous conditions, the stability state of achieving synchronous motion is converted into the solution of balance equation of the synchronous torque. There are multiple solutions to the torque equation because of the non-linear characteristics of the vibration system driven by multi-eccentric rotors. Then the stability condition is used to estimate which of the solutions is stable. After substituting the parameters of the experimental machine into the above method, the curves of the phase difference and its stability coefficients of three eccentric rotors system are obtained numerically. Two experiments show that the selected synchronous state depends on the initial condition and external disturbance, and if the vibration synchronization transmission conditions are satisfied, three eccentric rotors can not only achieve vibration synchronization transmission of one motor with switching off the power but also that of two motors with switching off the power.https://doi.org/10.1177/1461348419844646
spellingShingle Xiaozhe Chen
Lingxuan Li
Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
Journal of Low Frequency Noise, Vibration and Active Control
title Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
title_full Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
title_fullStr Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
title_full_unstemmed Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
title_short Selected synchronous state of the vibration system driven by three homodromy eccentric rotors
title_sort selected synchronous state of the vibration system driven by three homodromy eccentric rotors
url https://doi.org/10.1177/1461348419844646
work_keys_str_mv AT xiaozhechen selectedsynchronousstateofthevibrationsystemdrivenbythreehomodromyeccentricrotors
AT lingxuanli selectedsynchronousstateofthevibrationsystemdrivenbythreehomodromyeccentricrotors