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: Liangqiang Zhou, Wen Wang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/5582201
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spelling doaj-85e90f556fa940f1a502c7039e0362232021-05-10T00:26:15ZengHindawi LimitedShock and Vibration1875-92032021-01-01202110.1155/2021/5582201Chaotic Dynamics of Piezoelectric Composite Laminated BeamsLiangqiang Zhou0Wen Wang1Department of MathematicsDepartment of MathematicsChaos 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
collection DOAJ
language English
format Article
sources DOAJ
author Liangqiang Zhou
Wen Wang
spellingShingle Liangqiang Zhou
Wen Wang
Chaotic Dynamics of Piezoelectric Composite Laminated Beams
Shock and Vibration
author_facet Liangqiang Zhou
Wen Wang
author_sort Liangqiang Zhou
title Chaotic Dynamics of Piezoelectric Composite Laminated Beams
title_short 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_sort chaotic dynamics of piezoelectric composite laminated beams
publisher Hindawi Limited
series Shock and Vibration
issn 1875-9203
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/5582201
work_keys_str_mv AT liangqiangzhou chaoticdynamicsofpiezoelectriccompositelaminatedbeams
AT wenwang chaoticdynamicsofpiezoelectriccompositelaminatedbeams
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