Analysis of piezoelectric energy harvester under modulated and filtered white Gaussian noise

•This work is concerned with linear piezoelectric bimorphs under random vibrations.•The base motion is modeled as modulated and filtered white Gaussian noise.•A semi-analytical procedure is developed for the probabilistic analysis.•Mean and standard deviation of the generated electrical energy are e...

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Bibliographic Details
Published in:Mechanical systems and signal processing 2018-05, Vol.104, p.134-144
Main Authors: Quaranta, Giuseppe, Trentadue, Francesco, Maruccio, Claudio, Marano, Giuseppe C.
Format: Article
Language:English
Subjects:
Cantilever beams
Computer simulation
Electrical loads
Electricity
Energy
Energy harvesting
Euler-Bernoulli beams
Eulers equations
Gaussian distribution
Harvesters
Normal distribution
Piezoelectricity
Probabilistic analysis
Probabilistic methods
Random noise
Random vibrations
Smart structures
Standard deviation
Structural monitoring
Vibration
Vibration mode
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Summary:•This work is concerned with linear piezoelectric bimorphs under random vibrations.•The base motion is modeled as modulated and filtered white Gaussian noise.•A semi-analytical procedure is developed for the probabilistic analysis.•Mean and standard deviation of the generated electrical energy are estimated. This paper proposes a comprehensive method for the electromechanical probabilistic analysis of piezoelectric energy harvesters subjected to modulated and filtered white Gaussian noise (WGN) at the base. Specifically, the dynamic excitation is simulated by means of an amplitude-modulated WGN, which is filtered through the Clough-Penzien filter. The considered piezoelectric harvester is a cantilever bimorph modeled as Euler-Bernoulli beam with a concentrated mass at the free-end, and its global behavior is approximated by the fundamental vibration mode (which is tuned with the dominant frequency of the dynamic input). A resistive electrical load is considered in the circuit. Once the Lyapunov equation of the coupled electromechanical problem has been formulated, an original and efficient semi-analytical procedure is proposed to estimate mean and standard deviation of the electrical energy extracted from the piezoelectric layers.
ISSN:0888-3270
1096-1216
DOI:10.1016/j.ymssp.2017.10.031