Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis

The paper focuses on the quantitative analysis of the coupling dynamic characteristics of two non-identical exciters in a non-resonant vibrating system. The load torque of each motor consists of three items, including the torque of sine effect of phase angles, that of coupling sine effect and that o...

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Main Authors: Chunyu Zhao, Hongtao Zhu, Tianju Bai, Bangchun Wen
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2009-0485
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author Chunyu Zhao
Hongtao Zhu
Tianju Bai
Bangchun Wen
author_facet Chunyu Zhao
Hongtao Zhu
Tianju Bai
Bangchun Wen
author_sort Chunyu Zhao
collection DOAJ
description The paper focuses on the quantitative analysis of the coupling dynamic characteristics of two non-identical exciters in a non-resonant vibrating system. The load torque of each motor consists of three items, including the torque of sine effect of phase angles, that of coupling sine effect and that of coupling cosine effect. The torque of frequency capture results from the torque of coupling cosine effect, which is equal to the product of the coupling kinetic energy, the coefficient of coupling cosine effect, and the sine of phase difference of two exciters. The motions of the system excited by two exciters in the same direction make phase difference close to π and that in opposite directions makes phase difference close to 0. Numerical results show that synchronous operation is stable when the dimensionless relative moments of inertia of two exciters are greater than zero and four times of their product is greater than the square of their coefficient of coupling cosine effect. The stability of the synchronous operation is only dependent on the structural parameters of the system, such as the mass ratios of two exciters to the vibrating system, and the ratio of the distance between an exciter and the centroid of the system to the equivalent radius of the system about its centroid.
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institution Kabale University
issn 1070-9622
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language English
publishDate 2009-01-01
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series Shock and Vibration
spelling doaj-art-a47d131f3fec4075af6369d1422c9e5c2025-02-03T05:53:48ZengWileyShock and Vibration1070-96221875-92032009-01-0116551752810.3233/SAV-2009-0485Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric AnalysisChunyu Zhao0Hongtao Zhu1Tianju Bai2Bangchun Wen3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaFaculty of Engineering, University of Wollongong, Wollongong, NSW 2522, AustraliaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaThe paper focuses on the quantitative analysis of the coupling dynamic characteristics of two non-identical exciters in a non-resonant vibrating system. The load torque of each motor consists of three items, including the torque of sine effect of phase angles, that of coupling sine effect and that of coupling cosine effect. The torque of frequency capture results from the torque of coupling cosine effect, which is equal to the product of the coupling kinetic energy, the coefficient of coupling cosine effect, and the sine of phase difference of two exciters. The motions of the system excited by two exciters in the same direction make phase difference close to π and that in opposite directions makes phase difference close to 0. Numerical results show that synchronous operation is stable when the dimensionless relative moments of inertia of two exciters are greater than zero and four times of their product is greater than the square of their coefficient of coupling cosine effect. The stability of the synchronous operation is only dependent on the structural parameters of the system, such as the mass ratios of two exciters to the vibrating system, and the ratio of the distance between an exciter and the centroid of the system to the equivalent radius of the system about its centroid.http://dx.doi.org/10.3233/SAV-2009-0485
spellingShingle Chunyu Zhao
Hongtao Zhu
Tianju Bai
Bangchun Wen
Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
Shock and Vibration
title Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
title_full Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
title_fullStr Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
title_full_unstemmed Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
title_short Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part II: Numeric Analysis
title_sort synchronization of two non identical coupled exciters in a non resonant vibrating system of linear motion part ii numeric analysis
url http://dx.doi.org/10.3233/SAV-2009-0485
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AT tianjubai synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartiinumericanalysis
AT bangchunwen synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartiinumericanalysis