Chaotic Dynamics of Piezoelectric Composite Laminated Beams
Chaos in piezoelectric composite laminated beams has significant implications in the design of this model. Some results for this model have been obtained numerically. With the energy-phase method and numerical simulations, global dynamics of piezoelectric composite laminated beams is investigated in...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/5582201 |
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| _version_ | 1832564484190765056 |
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| author | Liangqiang Zhou Wen Wang |
| author_facet | Liangqiang Zhou Wen Wang |
| author_sort | Liangqiang Zhou |
| collection | DOAJ |
| description | Chaos in piezoelectric composite laminated beams has significant implications in the design of this model. Some results for this model have been obtained numerically. With the energy-phase method and numerical simulations, global dynamics of piezoelectric composite laminated beams is investigated in this paper. The average equation of the piezoelectric composite laminated beam is obtained by the normal form theory. The existence of multipulse homoclinic orbits for undisturbed and dissipative cases is analyzed by the energy-phase method, and the mechanism of chaotic motion of the system is given. The effect of the dissipation factor on pulse sequence and layer radius is studied in detail. The chaotic motion of the system is verified by numerical simulations. |
| format | Article |
| id | doaj-art-85e90f556fa940f1a502c7039e036223 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-85e90f556fa940f1a502c7039e0362232025-02-03T01:10:54ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55822015582201Chaotic Dynamics of Piezoelectric Composite Laminated BeamsLiangqiang Zhou0Wen Wang1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaDepartment of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaChaos in piezoelectric composite laminated beams has significant implications in the design of this model. Some results for this model have been obtained numerically. With the energy-phase method and numerical simulations, global dynamics of piezoelectric composite laminated beams is investigated in this paper. The average equation of the piezoelectric composite laminated beam is obtained by the normal form theory. The existence of multipulse homoclinic orbits for undisturbed and dissipative cases is analyzed by the energy-phase method, and the mechanism of chaotic motion of the system is given. The effect of the dissipation factor on pulse sequence and layer radius is studied in detail. The chaotic motion of the system is verified by numerical simulations.http://dx.doi.org/10.1155/2021/5582201 |
| spellingShingle | Liangqiang Zhou Wen Wang Chaotic Dynamics of Piezoelectric Composite Laminated Beams Shock and Vibration |
| title | Chaotic Dynamics of Piezoelectric Composite Laminated Beams |
| title_full | Chaotic Dynamics of Piezoelectric Composite Laminated Beams |
| title_fullStr | Chaotic Dynamics of Piezoelectric Composite Laminated Beams |
| title_full_unstemmed | Chaotic Dynamics of Piezoelectric Composite Laminated Beams |
| title_short | Chaotic Dynamics of Piezoelectric Composite Laminated Beams |
| title_sort | chaotic dynamics of piezoelectric composite laminated beams |
| url | http://dx.doi.org/10.1155/2021/5582201 |
| work_keys_str_mv | AT liangqiangzhou chaoticdynamicsofpiezoelectriccompositelaminatedbeams AT wenwang chaoticdynamicsofpiezoelectriccompositelaminatedbeams |