Abstract

In this paper, a novel hybrid mathematical/isogeometric analysis (IGA) scheme is implemented to evaluate the energy harvesting of the piezoelectric composite plate under dynamic bending. The NURBS-based IGA is applied to obtain the structural response exerted by the mechanical loading. The dynamic responses conveniently coupled with the governing voltage differential equations to estimate the energy harvested. The capabilities of the scheme are shown with the comparison against analytical and full electromechanical finite element results. As there is no need of fully coupled electromechanical element, the scheme provides cheaper computational cost and could be implemented with standard computational software. Thus, it gives great benefit for early design stage. Moreover, the robustness of the scheme is shown by the couple with high order IGA element which has been proven less prone to the shear locking phenomena in the literature. The computational results show greater accuracy on structural responses and energy estimation for a very thin plate compared to the couple with standard finite element method.

Highlights

  • In this paper, work on piezoelectric energy harvesting via structural vibration is presented

  • The model provided the basis for voltage/energy harvested from a piezoelectric composite structure under mechanical vibration and has been validated with experimental results (Erturk and Inman 2009)

  • The results of isogeometric analysis (IGA) Q25 couple is shown in Table 7 with insignificant variations compared to De Marqui Jr. et al results. These results demonstrate the robustness of the present hybrid scheme, the capability to estimate energy harvested from a structure with non-uniform material properties and obtained a good level of accuracy similar to the electromechanically coupled finite element model

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Summary

Introduction

Work on piezoelectric energy harvesting via structural vibration is presented. Akbar and Curiel-Sosa (2016) proposed a hybrid scheme, in which conveniently coupled the piezoelectric beam voltage equation with the dynamic responses from FEM and analytical model By means of this scheme, it is possible to implement the responses from the various computational model (not limited to finite element model) as input to the voltage equation to provide the power output estimation. It was concluded that the high-order IGA elements show more resistance to the shear locking phenomena compares to the standard finite element This attribute provides an advantage in the modelling of piezoelectric structures which commonly manufactured as thin-walled structures/plates. While Phung-Van et al (2015), developed IGA shell for laminated composite plates with piezoelectric layers employing Higher-order Shear Deformation Theory (HSDT) Those models limited to the application of sensors and actuators. The discussion of the results and validation of the scheme are presented in some details

Piezoelectric Energy harvester model
NURBS and B-spline surface
Isogeometric formulation for laminated composite
Computational algorithm
The complex conjugate value of the bending angle due
Validation
Validation against analytical solution
Validation against electromechanically coupled FEM
Case study of plates with various thickness
Findings
Conclusions
Full Text
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