Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System
The mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typic...
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| Main Authors: | , , , , |
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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/10.1155/2016/4879341 |
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| _version_ | 1849412798330699776 |
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| author | Yongjun Hou Mingjun Du Pan Fang Yuwen Wang Liping Zhang |
| author_facet | Yongjun Hou Mingjun Du Pan Fang Yuwen Wang Liping Zhang |
| author_sort | Yongjun Hou |
| collection | DOAJ |
| description | The mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typical analysis method, the Poincare method, is applied to study the synchronization characteristics, and the balanced equations and stability criterion of the system are obtained. Obviously, it can be seen that many parameters affect the synchronous state of the system, especially the stiffness of the support spring, the stiffness of the connecting spring, and the installation location of the motors. Meanwhile, choose a suitable stiffness of the connecting spring (k), which would play a significant role in engineering. Finally, computer simulations are used to verify the correctness of the theoretical analysis. |
| format | Article |
| id | doaj-art-548b49d2f5a842d5b08ba6ac1115e1f4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-548b49d2f5a842d5b08ba6ac1115e1f42025-08-20T03:34:20ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/48793414879341Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration SystemYongjun Hou0Mingjun Du1Pan Fang2Yuwen Wang3Liping Zhang4School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, ChinaThe mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typical analysis method, the Poincare method, is applied to study the synchronization characteristics, and the balanced equations and stability criterion of the system are obtained. Obviously, it can be seen that many parameters affect the synchronous state of the system, especially the stiffness of the support spring, the stiffness of the connecting spring, and the installation location of the motors. Meanwhile, choose a suitable stiffness of the connecting spring (k), which would play a significant role in engineering. Finally, computer simulations are used to verify the correctness of the theoretical analysis.http://dx.doi.org/10.1155/2016/4879341 |
| spellingShingle | Yongjun Hou Mingjun Du Pan Fang Yuwen Wang Liping Zhang Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System Shock and Vibration |
| title | Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System |
| title_full | Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System |
| title_fullStr | Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System |
| title_full_unstemmed | Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System |
| title_short | Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System |
| title_sort | synchronization and stability of elasticity coupling two homodromy rotors in a vibration system |
| url | http://dx.doi.org/10.1155/2016/4879341 |
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