General Framework for Modeling Multifunctional Metamaterial Beam Based on a Derived One-Dimensional Piezoelectric Composite Finite Element

Hu, G, Tang, L and Das, R 2018, 'General Framework for Modeling Multifunctional Metamaterial Beam Based on a Derived One-Dimensional Piezoelectric Composite Finite Element', Journal of Aerospace Engineering, vol. 31, no. 6, pp. 1-14.


Document type: Journal Article
Collection: Journal Articles

Title General Framework for Modeling Multifunctional Metamaterial Beam Based on a Derived One-Dimensional Piezoelectric Composite Finite Element
Author(s) Hu, G
Tang, L
Das, R
Year 2018
Journal name Journal of Aerospace Engineering
Volume number 31
Issue number 6
Start page 1
End page 14
Total pages 14
Publisher American Society of Civil Engineers
Abstract Phononic crystals and metamaterials have been widely investigated over the last decade. In recent years, by integration with piezoelectric transducers, phononic/metamaterial-based piezoelectric energy harvesters (PEHs) have gained increasing research interest for achieving multifunctionalities. This paper proposes a general framework for modelling phononic/metamaterial beams bonded with piezoelectric transducers based on a one-dimensional piezoelectric composite finite element derived using the generalized Hamiltons principle. A method for calculating band structures of infinitely long models of phononic/metamaterial beams that can carry piezoelectric transducers is then developed. This method is demonstrated via two case studies. The first case study investigates a metamaterial beam without piezoelectric coverage, and the proposed method is verified by the transfer matrix method (TMM). Compared with the TMM, the proposed method provides a dispersion relationship in a simpler form and thus demonstrates higher computational efficiency. The second case study investigates a metamaterial beam with periodic piezoelectric coverage. The proposed method takes into consideration the piezoelectric effect. Band structures of such a piezoelectric metamaterial beam under short-circuit and open-circuit conditions are evaluated. Subsequently, corresponding finitely long models of the two case studies are analyzed. The transmittances and open-circuit voltage responses of the piezoelectric transducers are then calculated. The predicted band gaps from transmittances match well with those from band structures. In addition, the transmittances and open-circuit voltage responses of piezoelectric transducers predicted based on the proposed model are verified against the finite-element solution produced by the ANSYS FE program.
Subject Aerospace Engineering not elsewhere classified
Mechanical Engineering not elsewhere classified
Keyword(s) Phononic Crystals
Energy
Resonators
DOI - identifier 10.1061/(ASCE)AS.1943-5525.0000920
Copyright notice © 2018 American Society of Civil Engineers.
ISSN 0893-1321
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