Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment

An isogeometric analysis (IGA) method is proposed for investigating the active shape and vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric materials in a thermal environment. A simple first-order shear deformation theory (S-FSDT) with four variables is used to...

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Main Authors: Tao Liu, Yafen Jiang, Shujun Li, Qingyun Liu, Chao Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/5514476
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author Tao Liu
Yafen Jiang
Shujun Li
Qingyun Liu
Chao Wang
author_facet Tao Liu
Yafen Jiang
Shujun Li
Qingyun Liu
Chao Wang
author_sort Tao Liu
collection DOAJ
description An isogeometric analysis (IGA) method is proposed for investigating the active shape and vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric materials in a thermal environment. A simple first-order shear deformation theory (S-FSDT) with four variables is used to describe the displacement field of the plates. To ensure the investigation of smart piezoelectric structure in the thermal environment closer to the actual situation, a modified piezoelectric constitutive equation with consideration of the temperature effect of dielectric and piezoelectric strain coefficients is implemented to replace the traditional linear piezoelectric constitutive equation. Meanwhile, the neutral surface is adopted to avoid the stretching-bending coupling. The accuracy and effectiveness of the proposed S-FSDT-based IGA method are verified by comparing with several existing numerical examples. Then, the static bending and open-loop control of the plates under mechanical and thermal loads are further studied. Finally, the active control including static bending control and vibration control of piezoelectric functionally graded plates (PFGPs) is also investigated by using a displacement-velocity feedback control law.
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institution OA Journals
issn 1070-9622
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language English
publishDate 2021-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-88a2d40622e145a2b900a0ba4ebef4172025-08-20T02:09:30ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55144765514476Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal EnvironmentTao Liu0Yafen Jiang1Shujun Li2Qingyun Liu3Chao Wang4Anhui Province Key Laboratory of Special Heavy Load Robot, Ma’anshan, 243032, ChinaDepartment of Innovative Education, Anhui University of Technology, Ma’anshan, 243002, ChinaAnhui Province Key Laboratory of Special Heavy Load Robot, Ma’anshan, 243032, ChinaAnhui Province Key Laboratory of Special Heavy Load Robot, Ma’anshan, 243032, ChinaDepartment of Mechanical Engineering, Anhui University of Technology, Ma’anshan, 243002, ChinaAn isogeometric analysis (IGA) method is proposed for investigating the active shape and vibration control of functionally graded plates (FGPs) with surface-bonded piezoelectric materials in a thermal environment. A simple first-order shear deformation theory (S-FSDT) with four variables is used to describe the displacement field of the plates. To ensure the investigation of smart piezoelectric structure in the thermal environment closer to the actual situation, a modified piezoelectric constitutive equation with consideration of the temperature effect of dielectric and piezoelectric strain coefficients is implemented to replace the traditional linear piezoelectric constitutive equation. Meanwhile, the neutral surface is adopted to avoid the stretching-bending coupling. The accuracy and effectiveness of the proposed S-FSDT-based IGA method are verified by comparing with several existing numerical examples. Then, the static bending and open-loop control of the plates under mechanical and thermal loads are further studied. Finally, the active control including static bending control and vibration control of piezoelectric functionally graded plates (PFGPs) is also investigated by using a displacement-velocity feedback control law.http://dx.doi.org/10.1155/2021/5514476
spellingShingle Tao Liu
Yafen Jiang
Shujun Li
Qingyun Liu
Chao Wang
Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
Shock and Vibration
title Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
title_full Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
title_fullStr Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
title_full_unstemmed Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
title_short Isogeometric Analysis for Active Control of Piezoelectric Functionally Graded Plates in Thermal Environment
title_sort isogeometric analysis for active control of piezoelectric functionally graded plates in thermal environment
url http://dx.doi.org/10.1155/2021/5514476
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AT shujunli isogeometricanalysisforactivecontrolofpiezoelectricfunctionallygradedplatesinthermalenvironment
AT qingyunliu isogeometricanalysisforactivecontrolofpiezoelectricfunctionallygradedplatesinthermalenvironment
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