Performance of a short piezoelectric fiber–reinforced composite actuator in vibration control of functionally graded circular cylindrical shell

2016 ◽  
Vol 27 (20) ◽  
pp. 2774-2794 ◽  
Author(s):  
Satyajit Panda
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Functionally Graded ◽  
Fiber Reinforced ◽  
Control Activity ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Composite Actuator ◽  
Actuator Layer ◽  
Piezoelectric Fiber

For improved flexibility and conformability of piezoelectric fiber–reinforced composite actuator, it is reconstructed in a recent study by the use of short piezoelectric fibers (short piezoelectric fiber–reinforced composite) instead of continuous fibers (continuous piezoelectric fiber–reinforced composite). This modification facilitates its application in short piezoelectric fiber–reinforced composite layer form instead of continuous piezoelectric fiber–reinforced composite patch form particularly in case of host structures with highly curved boundary surfaces. But the corresponding change in actuation capability is a major issue for potential application of short piezoelectric fiber–reinforced composite that is studied in this work through the control of vibration of a functionally graded circular cylindrical shell under thermal environment. First, an arrangement of continuous piezoelectric fiber–reinforced composite actuator patches over the host shell surface is presented with an objective of controlling all modes of vibration. Next, the use of short piezoelectric fiber–reinforced composite actuator layer for similar control activity is demonstrated through an arrangement of electrode patches over its surfaces. Subsequently, an electric potential function is assumed for the consideration of electrode patches and a geometrically nonlinear coupled thermo-electro-mechanical incremental finite element model of the harmonically excited overall functionally graded shell is developed. The numerical results reveal actuation capability of short piezoelectric fiber–reinforced composite actuator layer with reference to that of the existing continuous piezoelectric fiber–reinforced composite/monolithic piezoelectric actuator patches. The effects of temperature, size of electrode patches, properties of piezoelectric fiber–reinforced composite, and functionally graded properties on the control activity of short piezoelectric fiber–reinforced composite/continuous piezoelectric fiber–reinforced composite actuator are also presented.

Exact Solutions for the Functionally Graded Plates Integrated With a Layer of Piezoelectric Fiber-Reinforced Composite

2005 ◽  
Vol 73 (4) ◽  
pp. 622-632 ◽  
Author(s):  
M. C. Ray ◽  
H. M. Sachade
Keyword(s):  
Exact Solutions ◽  
Mechanical Load ◽  
Numerical Models ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Fg Plates ◽  
Piezoelectric Fiber

This paper deals with the derivation of exact solutions for the static analysis of functionally graded (FG) plates integrated with a layer of piezoelectric fiber reinforced composite (PFRC) material. The layer of the PFRC material acts as the distributed actuator of the FG plates. The Young’s modulus of the FG plate is assumed to vary exponentially along the thickness of the plate while the Poisson’s ratio is assumed to be constant over the domain of the plate. The numerical values of the exact solutions are presented for both thick and thin smart FG plates and indicate that the activated PFRC layer potentially counteracts the deformations of the FG plates due to mechanical load. The through-thickness behavior of the plates revealed that the coupling of bending and extension takes place in the FG plates even if the PFRC layer is not subjected to the applied voltage. The solutions also revealed that the activated PFRC layer is more effective in controlling the deformations of the FG plates when the layer is attached to the surface of the FG plate with minimum stiffness than when it is attached to the surface of the same with maximum stiffness. The solutions of this benchmark problem may be useful for verifying the other approximate and numerical models of the smart functionally graded plates for which exact solutions cannot be derived.

scholarly journals Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Wei Wang ◽  
Sen Li ◽  
Lin-Quan Yao ◽  
Shi-Chao Yi
Keyword(s):  
Displacement Field ◽  
Present Method ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Transverse Displacement ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Aspect Ratios ◽  
Reinforced Composite ◽  
Piezoelectric Fiber

In this paper, a pseudo-three-dimensional method is proposed to investigate static behavior analysis of functionally graded (FG) plate integrated with a piezoelectric fiber reinforced composite (PFRC) layer by the hyperbolic shear and normal deformation theory. The present method is a displacement-based theory which accounts for hyperbolic variation of in-plane displacement field and parabolic variation of transverse displacement field. The linear electrical potential function in the PFRC layer is modeled. The governing equations of present method are derived by the minimum potential energy principle and Navier’s procedure is used to solve the equations. Numerical results are presented to demonstrate the efficiency of the proposed method. The effects of some parameters including material composition, aspect ratios, and applied voltages on the deformations of the plate are investigated. Compared with the available data of numerical method and 3D method, the presented method is more suitable for the smart FG structure.

COMPARISON OF VIBRATION CHARACTERISTICS FOR POSTBUCKLED FGM PLATES WITH PIEZOELECTRIC FIBER REINFORCED COMPOSITE ACTUATORS

2009 ◽  
Vol 09 (03) ◽  
pp. 533-559 ◽  
Author(s):  
XIAN-KUN XIA ◽  
HUI-SHEN SHEN
Keyword(s):  
Material Properties ◽  
Plate Theory ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Temperature Fields ◽  
Control Voltage ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Piezoelectric Fiber

Vibration analysis is carried out for compressively loaded and thermally loaded postbuckled functionally graded material (FGM) plates with piezoelectric fiber reinforced composite (PFRC) actuators. The temperature field is assumed to be uniformly distributed over the plate surface but it varies through the thickness. The electric field has a non-zero-valued component EZ. Material properties of the substrate FGM layer are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The material properties of both FGM and PFRC layers are assumed to be temperature-dependent. The formulations are based on a third order shear deformation plate theory and the general von Kármán-type equation that include thermo-piezoelectric effects. The numerical illustrations cover small- and large- amplitude vibration characteristics of postbuckled, mid-plane symmetric FGM plates with surface-bonded or embedded PFRC actuators under uniform and non-uniform temperature fields. The results for monolithic piezoelectric actuators, which is a special case in the present study, are compared with those of PFRC actuators. The results reveal that control voltage has a small effect on the vibration characteristics of the compressed postbuckled FGM plate with PFRC actuators but has a relatively large effect on the natural frequency of thermally postbuckled plates.

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