Greens function method for piezoelectric energy harvesting beams

Amir Hossein Danesh Yazdi, Niell Elvin, Yiannis Andreopoulos

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The development of validated mathematical models for piezoelectric harvesters is important as it provides predictive capabilities of their performance and insight to their coupled electromechanical behavior. Advanced solutions to these models allows for more realistic parameters to be considered. In this paper, we present a Fourier Transform-Greens Function (FTGF) solution approach to the distributed parameter coupled electromechanical equations for a piezoelectric beam excited by an arbitrary external transverse force. This method, as opposed to modal analysis, allows for frequency-dependent material properties and damping coefficients to be considered. The special case of a harmonic base excitation is considered and closed-form expressions for the frequency response functions of the voltage generated by piezoelectric layer, relative tip displacement and local bending strain are obtained. Finally, the FTGF solution to these frequency response functions is compared with the modal analysis solution along with experimental data for validation.

Original languageEnglish (US)
Pages (from-to)3092-3108
Number of pages17
JournalJournal of Sound and Vibration
Volume333
DOIs
StatePublished - Jan 1 2014

Fingerprint

Energy harvesting
Green's function
Green's functions
Modal analysis
frequency response
Frequency response
Fourier transforms
Harvesters
energy
mathematical models
Materials properties
Damping
damping
Mathematical models
harmonics
Electric potential
electric potential
coefficients
excitation

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

Danesh Yazdi, Amir Hossein ; Elvin, Niell ; Andreopoulos, Yiannis. / Greens function method for piezoelectric energy harvesting beams. In: Journal of Sound and Vibration. 2014 ; Vol. 333. pp. 3092-3108.
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Greens function method for piezoelectric energy harvesting beams. / Danesh Yazdi, Amir Hossein; Elvin, Niell; Andreopoulos, Yiannis.

In: Journal of Sound and Vibration, Vol. 333, 01.01.2014, p. 3092-3108.

Research output: Contribution to journalArticle

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