Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate
Nonlinear principal parametric resonance and stability are investigated for rotating circular plate subjected to parametric excitation resulting from the time-varying speed in the magnetic field. According to the conductive rotating thin circular plate in magnetic field, the magnetoelastic parametri...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/5196847 |
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| author | Zhe Li Yu-da Hu Jing Li |
| author_facet | Zhe Li Yu-da Hu Jing Li |
| author_sort | Zhe Li |
| collection | DOAJ |
| description | Nonlinear principal parametric resonance and stability are investigated for rotating circular plate subjected to parametric excitation resulting from the time-varying speed in the magnetic field. According to the conductive rotating thin circular plate in magnetic field, the magnetoelastic parametric vibration equations of a conductive rotating thin circular plate are deduced by the use of Hamilton principle with the expressions of kinetic energy and strain energy. The axisymmetric parameter vibration differential equation of the variable-velocity rotating circular plate is obtained through the application of Galerkin integral method. Then, the method of multiple scales is applied to derive the nonlinear principal parametric resonance amplitude-frequency equation. The stability and the critical condition of stability of the plate are discussed. The influences of detuning parameter, rotation rate, and magnetic induction intensity are investigated on the principal parametric resonance behavior. The result shows that stable and unstable solutions exist when detuning parameter is negative, and the resonance amplitude can be weakened by changing the magnetic induction intensity. |
| format | Article |
| id | doaj-art-57db035550e740c08591ba46005483d7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-57db035550e740c08591ba46005483d72025-02-03T01:31:58ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/51968475196847Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular PlateZhe Li0Yu-da Hu1Jing Li2School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, ChinaSchool of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, ChinaKey Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, ChinaNonlinear principal parametric resonance and stability are investigated for rotating circular plate subjected to parametric excitation resulting from the time-varying speed in the magnetic field. According to the conductive rotating thin circular plate in magnetic field, the magnetoelastic parametric vibration equations of a conductive rotating thin circular plate are deduced by the use of Hamilton principle with the expressions of kinetic energy and strain energy. The axisymmetric parameter vibration differential equation of the variable-velocity rotating circular plate is obtained through the application of Galerkin integral method. Then, the method of multiple scales is applied to derive the nonlinear principal parametric resonance amplitude-frequency equation. The stability and the critical condition of stability of the plate are discussed. The influences of detuning parameter, rotation rate, and magnetic induction intensity are investigated on the principal parametric resonance behavior. The result shows that stable and unstable solutions exist when detuning parameter is negative, and the resonance amplitude can be weakened by changing the magnetic induction intensity.http://dx.doi.org/10.1155/2017/5196847 |
| spellingShingle | Zhe Li Yu-da Hu Jing Li Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate Shock and Vibration |
| title | Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate |
| title_full | Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate |
| title_fullStr | Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate |
| title_full_unstemmed | Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate |
| title_short | Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate |
| title_sort | magnetoelastic principal parametric resonance of a rotating electroconductive circular plate |
| url | http://dx.doi.org/10.1155/2017/5196847 |
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