Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis
In this paper an analytical approach is proposed to study the feature of frequency capture of two non-identical coupled exciters in a non-resonant vibrating system. The electromagnetic torque of an induction motor in the quasi-steady-state operation is derived. With the introduction of two perturbat...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2009-0484 |
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| author | Chunyu Zhao Hongtao Zhu Ruizi Wang Bangchun Wen |
| author_facet | Chunyu Zhao Hongtao Zhu Ruizi Wang Bangchun Wen |
| author_sort | Chunyu Zhao |
| collection | DOAJ |
| description | In this paper an analytical approach is proposed to study the feature of frequency capture of two non-identical coupled exciters in a non-resonant vibrating system. The electromagnetic torque of an induction motor in the quasi-steady-state operation is derived. With the introduction of two perturbation small parameters to average angular velocity of two exciters and their phase difference, we deduce the Equation of Frequency Capture by averaging two motion equations of two exciters over their average period. It converts the synchronization problem of two exciters into that of existence and stability of zero solution for the Equation of Frequency Capture. The conditions of implementing frequency capture and that of stabilizing synchronous operation of two motors have been derived. The concept of torque of frequency capture is proposed to physically explain the peculiarity of self-synchronization of the two exciters. An interesting conclusion is reached that the moments of inertia of the two exciters in the Equation of Frequency Capture reduce and there is a coupling moment of inertia between the two exciters. The reduction of moments of inertia and the coupling moment of inertia have an effect on the stability of synchronous operation. |
| format | Article |
| id | doaj-art-2bc77342a2c94d57aefa226e695ab153 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2bc77342a2c94d57aefa226e695ab1532025-02-03T01:21:51ZengWileyShock and Vibration1070-96221875-92032009-01-0116550551510.3233/SAV-2009-0484Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical AnalysisChunyu Zhao0Hongtao Zhu1Ruizi Wang2Bangchun 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, ChinaIn this paper an analytical approach is proposed to study the feature of frequency capture of two non-identical coupled exciters in a non-resonant vibrating system. The electromagnetic torque of an induction motor in the quasi-steady-state operation is derived. With the introduction of two perturbation small parameters to average angular velocity of two exciters and their phase difference, we deduce the Equation of Frequency Capture by averaging two motion equations of two exciters over their average period. It converts the synchronization problem of two exciters into that of existence and stability of zero solution for the Equation of Frequency Capture. The conditions of implementing frequency capture and that of stabilizing synchronous operation of two motors have been derived. The concept of torque of frequency capture is proposed to physically explain the peculiarity of self-synchronization of the two exciters. An interesting conclusion is reached that the moments of inertia of the two exciters in the Equation of Frequency Capture reduce and there is a coupling moment of inertia between the two exciters. The reduction of moments of inertia and the coupling moment of inertia have an effect on the stability of synchronous operation.http://dx.doi.org/10.3233/SAV-2009-0484 |
| spellingShingle | Chunyu Zhao Hongtao Zhu Ruizi Wang Bangchun Wen Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis Shock and Vibration |
| title | Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis |
| title_full | Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis |
| title_fullStr | Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis |
| title_full_unstemmed | Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis |
| title_short | Synchronization of Two Non-Identical Coupled Exciters in a Non-Resonant Vibrating System of Linear Motion. Part I: Theoretical Analysis |
| title_sort | synchronization of two non identical coupled exciters in a non resonant vibrating system of linear motion part i theoretical analysis |
| url | http://dx.doi.org/10.3233/SAV-2009-0484 |
| work_keys_str_mv | AT chunyuzhao synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartitheoreticalanalysis AT hongtaozhu synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartitheoreticalanalysis AT ruiziwang synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartitheoreticalanalysis AT bangchunwen synchronizationoftwononidenticalcoupledexcitersinanonresonantvibratingsystemoflinearmotionpartitheoreticalanalysis |