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Author:

Guo, X. T. (Guo, X. T..) | Jiang, Y. (Jiang, Y..) | Zhang, W. (Zhang, W..)

Indexed by:

Scopus SCIE

Abstract:

The intelligent structure will be the key to the industrial manufacturing field in the future, piezoelectric materials are the most commonly used active materials in many mechatronic and vibration control systems. In this paper, we illustrated the nonlinear vibration behaviors of the piezoelectric-laminated composite cantilever rectangular plate subjected to transverse and parametric excitation. Two piezoelectric layers are attached to the upper and lower surfaces of graphite/epoxy composite laminated plate. The nonlinear dynamic equations are derived via the classical laminated plate theory, von Karman large deformation theory, the constitutive equation of the piezoelectric materials, and the Hamilton principle. Considering the Galerkin method, the nonlinear ordinary differential equations for the two-order vibration mode of the piezoelectric laminated composite cantilever rectangular plate are achieved. The multiple scale method is applied to obtain the average equations to study the nonlinear vibration characteristic of the stable motion. The primary resonance and the 1:1 internal resonance of the piezoelectric laminated composite cantilever rectangular plate are investigated. The amplitude-frequency response curves, force-amplitude response curves, time histories, phase curves, and bifurcation diagrams are given to investigate the nonlinear dynamic characteristic of the piezoelectric laminated composite cantilever rectangular plate. The detailed parametric analyses show that bubble response curves are separated from the amplitude-frequency response curves with the continuous increase of the external excitation due to the internal resonance. In addition, the results reveal the energy transform between the various order vibration modes of the system. This work is expected to provide theoretical guidance for the nonlinear vibration of the smart piezoelectric laminated composite structure.

Keyword:

Piezoelectric materials composite laminated plate chaotic vibration internal resonance nonlinear vibrations

Author Community:

  • [ 1 ] [Guo, X. T.]Guangxi Univ, Dept Mech, Nanning 530004, Peoples R China
  • [ 2 ] [Zhang, W.]Guangxi Univ, Dept Mech, Nanning 530004, Peoples R China
  • [ 3 ] [Jiang, Y.]Jiangsu Ocean Univ, Sch Mech Engn, Lianyungang 222005, Peoples R China
  • [ 4 ] [Zhang, W.]Beijing Univ Technol, Beijing 100124, Peoples R China
  • [ 5 ] [Zhang, W.]Guangxi Univ, State Key Lab Featured Met Mat & Life cycle Safety, Nanning 550001, Peoples R China

Reprint Author's Address:

  • [Zhang, W.]Guangxi Univ, Dept Mech, Nanning 530004, Peoples R China;;[Jiang, Y.]Jiangsu Ocean Univ, Sch Mech Engn, Lianyungang 222005, Peoples R China;;[Zhang, W.]Beijing Univ Technol, Beijing 100124, Peoples R China;;[Zhang, W.]Guangxi Univ, State Key Lab Featured Met Mat & Life cycle Safety, Nanning 550001, Peoples R China;;

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Source :

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS

ISSN: 0219-4554

Year: 2024

3 . 6 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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