Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach

Xu Liang, Yu Deng, Zeng Cao, Xue Jiang, Titao Wang, Yongdu Ruan, Xing Zha

Research output: Contribution to journalArticle

Abstract

Nowadays, intelligent piezoelectric materials are widely used in transducer devices and aerospace structures. To investigate the dynamic behaviour of a functionally graded piezoelectric material (FGPM) cylindrical panel, a semi-analytical approach by introducing the Laplace transform, differential quadrature method, state space approach and Durbin’s numerical inversion of Laplace transform is presented. The accuracy of this method is validated by comparing the results with the published literature and by ANSYS under various boundary conditions. Convergence studies showed the proposed approach has a quick convergence rate with growing sample point numbers and increasing layer numbers. The analysis of initial electric potential on the outer surface and bottom surface indicated that when the plus and minus signs of two sides are opposite, the value of central electric potential will decrease. Under simply supported condition, if FG index γ increases, the deflection amplitude of the panel will increase, while the electric potential amplitude decreases. Moreover, the amplitude of displacements along the radial direction becomes larger when the central angle increases, but the period time decreases at the same time. The proposed method fills a gap of 3-D semi-analytical investigations for the dynamic behaviour of FGPM cylindrical panels in different boundary conditions.
Original languageEnglish
Article number111176
Number of pages12
JournalComposite Structures
Volume226
Early online date28 Jun 2019
DOIs
Publication statusPublished - 15 Oct 2019

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Piezoelectric materials
Functionally graded materials
Laplace transforms
Electric potential
Boundary conditions
State space methods
Intelligent materials
Transducers

Keywords

  • piexoelectric cylindrical panels
  • differential quadrature method
  • state space approach
  • numerical inversion of laplace transform
  • transient response

Cite this

Liang, Xu ; Deng, Yu ; Cao, Zeng ; Jiang, Xue ; Wang, Titao ; Ruan, Yongdu ; Zha, Xing. / Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach. In: Composite Structures. 2019 ; Vol. 226.
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abstract = "Nowadays, intelligent piezoelectric materials are widely used in transducer devices and aerospace structures. To investigate the dynamic behaviour of a functionally graded piezoelectric material (FGPM) cylindrical panel, a semi-analytical approach by introducing the Laplace transform, differential quadrature method, state space approach and Durbin’s numerical inversion of Laplace transform is presented. The accuracy of this method is validated by comparing the results with the published literature and by ANSYS under various boundary conditions. Convergence studies showed the proposed approach has a quick convergence rate with growing sample point numbers and increasing layer numbers. The analysis of initial electric potential on the outer surface and bottom surface indicated that when the plus and minus signs of two sides are opposite, the value of central electric potential will decrease. Under simply supported condition, if FG index γ increases, the deflection amplitude of the panel will increase, while the electric potential amplitude decreases. Moreover, the amplitude of displacements along the radial direction becomes larger when the central angle increases, but the period time decreases at the same time. The proposed method fills a gap of 3-D semi-analytical investigations for the dynamic behaviour of FGPM cylindrical panels in different boundary conditions.",
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Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach. / Liang, Xu; Deng, Yu; Cao, Zeng; Jiang, Xue; Wang, Titao; Ruan, Yongdu; Zha, Xing.

In: Composite Structures, Vol. 226, 111176, 15.10.2019.

Research output: Contribution to journalArticle

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T1 - Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach

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AU - Deng, Yu

AU - Cao, Zeng

AU - Jiang, Xue

AU - Wang, Titao

AU - Ruan, Yongdu

AU - Zha, Xing

PY - 2019/10/15

Y1 - 2019/10/15

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