Research Papers

Chaotification as a Means of Broadband Energy Harvesting With Piezoelectric Materials

[+] Author and Article Information
Daniel Geiyer

Department of Mechanical and
Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: daniel.geiyer@knights.ucf.edu

Jeffrey L. Kauffman

Department of Mechanical and
Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816
e-mail: JLKauffman@ucf.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 10, 2014; final manuscript received March 3, 2015; published online April 27, 2015. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 137(5), 051005 (Oct 01, 2015) (8 pages) Paper No: VIB-14-1435; doi: 10.1115/1.4030024 History: Received November 10, 2014; Revised March 03, 2015; Online April 27, 2015

Component miniaturization and reduced power requirements in sensors have enabled growth in the field of low-power ambient vibration energy harvesting. This work aims to increase bandwidth and power output beyond current techniques by inducing chaotic nonlinear phenomena and applying a low-power controller based on the method of Ott, Grebogi, and Yorke (OGY) to stabilize a chosen periodic orbit. Previously, researchers used a nonlinear piezomagnetoelastic beam in search of a large amplitude broadband voltage response, but chaos was strictly avoided. These large amplitude responses can deteriorate over time into low energy chaotic oscillations. Including chaos as a desirable property allows small perturbations to alter the behavior of a system dramatically, improving the dynamic response for energy harvesting. The nonlinear piezomagnetoelastic beam element described by a Duffing oscillator is extended to embrace chaotic motion more actively. By driving motion along a chaotic attractor, even single frequency excitation results in a theoretically infinite number of unstable periodic orbits that can be stabilized using small control inputs. The chosen orbit will be accessible from a large range of excitation frequencies and can be dynamically changed in real-time, potentially expanding the bandwidth of operation.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

Example of using a small perturbation to stabilize a periodic orbit

Grahic Jump Location
Fig. 2

Piezomagnetoelastic beam configuration

Grahic Jump Location
Fig. 3

Time series and Poincaré section comparison of discrete (L) and continuous (R) counterparts

Grahic Jump Location
Fig. 4

First return map (n = 1) for tip displacement of the augmented Duffing oscillator

Grahic Jump Location
Fig. 5

OGY control applied to the piezomagnetoelastic beam. (a) Time series response with OGY control and (b) phase portrait with the stabilized orbit.

Grahic Jump Location
Fig. 6

Poincaré section of the controlled response

Grahic Jump Location
Fig. 7

Orbit comparison with (a) the large amplitude response, (b) the phase portrait of the chaotic uncontrolled system, (c) the controlled chaotic orbit, and (d) the representative linear harvester




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In