Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration
This work is a continuation for our published literature for vibration synchronization. A new mechanism, two rotors coupled with a pendulum rod in a multi-DOF vibration system, is proposed to implement coupling synchronization, and the dynamics equation of mechanism is derived by Lagrange equation....
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/8641754 |
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| _version_ | 1850229016256053248 |
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| author | Yongjun Hou Pan Fang |
| author_facet | Yongjun Hou Pan Fang |
| author_sort | Yongjun Hou |
| collection | DOAJ |
| description | This work is a continuation for our published literature for vibration synchronization. A new mechanism, two rotors coupled with a pendulum rod in a multi-DOF vibration system, is proposed to implement coupling synchronization, and the dynamics equation of mechanism is derived by Lagrange equation. In addition, the coupling relationship between the vibrobody and the pendulum rod is ascertained with the Laplace transformation method, based on the dimensionless equation of the dynamics system. The Poincare method is employed to study the synchronization state between the two unbalanced rotors, which is converted into that of existence and the stability of solutions for synchronization-balance equations. The obtained results are supported by computer simulations. It is demonstrated that the values of the spring stiffness coefficient, the length of the pendulum, and the angular installation of the pendulum are important parameters with respect to the synchronous behavior in the rotor-pendulum system. |
| format | Article |
| id | doaj-art-263f6ebdb4d743c99ed8f6fdc416b554 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-263f6ebdb4d743c99ed8f6fdc416b5542025-08-20T02:04:21ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/86417548641754Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF VibrationYongjun Hou0Pan Fang1School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaThis work is a continuation for our published literature for vibration synchronization. A new mechanism, two rotors coupled with a pendulum rod in a multi-DOF vibration system, is proposed to implement coupling synchronization, and the dynamics equation of mechanism is derived by Lagrange equation. In addition, the coupling relationship between the vibrobody and the pendulum rod is ascertained with the Laplace transformation method, based on the dimensionless equation of the dynamics system. The Poincare method is employed to study the synchronization state between the two unbalanced rotors, which is converted into that of existence and the stability of solutions for synchronization-balance equations. The obtained results are supported by computer simulations. It is demonstrated that the values of the spring stiffness coefficient, the length of the pendulum, and the angular installation of the pendulum are important parameters with respect to the synchronous behavior in the rotor-pendulum system.http://dx.doi.org/10.1155/2016/8641754 |
| spellingShingle | Yongjun Hou Pan Fang Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration Shock and Vibration |
| title | Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration |
| title_full | Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration |
| title_fullStr | Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration |
| title_full_unstemmed | Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration |
| title_short | Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration |
| title_sort | investigation for synchronization of a rotor pendulum system considering the multi dof vibration |
| url | http://dx.doi.org/10.1155/2016/8641754 |
| work_keys_str_mv | AT yongjunhou investigationforsynchronizationofarotorpendulumsystemconsideringthemultidofvibration AT panfang investigationforsynchronizationofarotorpendulumsystemconsideringthemultidofvibration |