Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame
This paper investigates synchronization of two self-synchronous vibrating machines on an isolation rigid frame. Using the modified average method of small parameters, we deduce the non-dimensional coupling differential equations of the disturbance parameters for the angular velocities of the four un...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0591 |
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| _version_ | 1832550139106951168 |
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| author | Chunyu Zhao Qinghua Zhao Zhaomin Gong Bangchun Wen |
| author_facet | Chunyu Zhao Qinghua Zhao Zhaomin Gong Bangchun Wen |
| author_sort | Chunyu Zhao |
| collection | DOAJ |
| description | This paper investigates synchronization of two self-synchronous vibrating machines on an isolation rigid frame. Using the modified average method of small parameters, we deduce the non-dimensional coupling differential equations of the disturbance parameters for the angular velocities of the four unbalanced rotors. Then the stability problem of synchronization for the four unbalanced rotors is converted into the stability problems of two generalized systems. One is the generalized system of the angular velocity disturbance parameters for the four unbalanced rotors, and the other is the generalized system of three phase disturbance parameters. The condition of implementing synchronization is that the torque of frequency capture between each pair of the unbalanced rotors on a vibrating machine is greater than the absolute values of the output electromagnetic torque difference between each pair of motors, and that the torque of frequency capture between the two vibrating machines is greater than the absolute value of the output electromagnetic torque difference between the two pairs of motors on the two vibrating machines. The stability condition of synchronization of the two vibrating machines is that the inertia coupling matrix is definite positive, and that all the eigenvalues for the generalized system of three phase disturbance parameters have negative real parts. Computer simulations are carried out to verify the results of the theoretical investigation. |
| format | Article |
| id | doaj-art-56f7eb5278a941549a0b24e42ce6a26a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-56f7eb5278a941549a0b24e42ce6a26a2025-02-03T06:07:35ZengWileyShock and Vibration1070-96221875-92032011-01-01181-2739010.3233/SAV-2010-0591Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation FrameChunyu Zhao0Qinghua Zhao1Zhaomin Gong2Bangchun Wen3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaHebei State-owned Minerals Development & Investment Co., Ltd., Shijiazhuang, 050021, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, ChinaThis paper investigates synchronization of two self-synchronous vibrating machines on an isolation rigid frame. Using the modified average method of small parameters, we deduce the non-dimensional coupling differential equations of the disturbance parameters for the angular velocities of the four unbalanced rotors. Then the stability problem of synchronization for the four unbalanced rotors is converted into the stability problems of two generalized systems. One is the generalized system of the angular velocity disturbance parameters for the four unbalanced rotors, and the other is the generalized system of three phase disturbance parameters. The condition of implementing synchronization is that the torque of frequency capture between each pair of the unbalanced rotors on a vibrating machine is greater than the absolute values of the output electromagnetic torque difference between each pair of motors, and that the torque of frequency capture between the two vibrating machines is greater than the absolute value of the output electromagnetic torque difference between the two pairs of motors on the two vibrating machines. The stability condition of synchronization of the two vibrating machines is that the inertia coupling matrix is definite positive, and that all the eigenvalues for the generalized system of three phase disturbance parameters have negative real parts. Computer simulations are carried out to verify the results of the theoretical investigation.http://dx.doi.org/10.3233/SAV-2010-0591 |
| spellingShingle | Chunyu Zhao Qinghua Zhao Zhaomin Gong Bangchun Wen Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame Shock and Vibration |
| title | Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame |
| title_full | Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame |
| title_fullStr | Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame |
| title_full_unstemmed | Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame |
| title_short | Synchronization of Two Self-Synchronous Vibrating Machines on an Isolation Frame |
| title_sort | synchronization of two self synchronous vibrating machines on an isolation frame |
| url | http://dx.doi.org/10.3233/SAV-2010-0591 |
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