Smart damping of vibration of annular plates by the design of a cylindrically orthotropic piezoelectric fiber-reinforced composite actuator

2015 ◽  
Vol 226 (9) ◽  
pp. 3151-3176 ◽  
Author(s):  
A. S. Pavan Kumar ◽  
Satyajit Panda ◽  
N. H. Reddy
2011 ◽  
Vol 22 (16) ◽  
pp. 1789-1801 ◽  
Author(s):  
Satyajit Panda

This article deals with geometrically non-linear finite element analysis of substrate annular plates integrated with the annular patches of the piezoelectric fiber reinforced composite (PFRC) material. The PFRC material is a cylindrically orthotropic smart composite material in which the piezoelectric fibers are circumferentially reinforced in the epoxy matrix material. The annular PFRC patches are activated by the externally applied voltage across their thickness and act as the distributed actuators for controlling the non-linear deformations of the substrate annular plates. Based on the first-order shear deformation theory and the von Karman non-linear strain–displacement relations, the non-linear governing finite element equations of equilibrium of this electro-elastic coupled problem are derived employing the principle of minimum potential energy. The governing non-linear finite element equations are then solved using direct iteration method. The numerical illustrations reveal the significant control authority of the cylindrically orthotropic annular PFRC patches in counteracting the non-linear deformations of the substrate annular plates. The numerical illustrations also reveal that for the constant circumferential stretch of the annular PFRC patches, if their radial span is less than that of the substrate annular plate, then the radial location of the annular patches attached to the top surface of the substrate plate plays an important role for their effective control authority. Along with this location, the minimum radial length of the annular PFRC patches is also assessed without affecting the performance of the overall smart plate significantly.


2016 ◽  
Vol 27 (20) ◽  
pp. 2774-2794 ◽  
Author(s):  
Satyajit Panda

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.


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