A piezoelectric flag is modeled as a membrane for energy harvesting purposes. The tension, pressure, piezoelectric material, and external force are introduced and employed in the model. In this model, the tension is caused by gravity, the piezoelectric material, and the fluid flow. The pressure acting on the flag consists of a non-circulatory and a circulatory component. Additionally, an external force is modeled to ensure that the pressure acting on the system does not dissipate. To model the system, Hamilton’s principle is employed to find differential equation of motion. In this study, the flag is vertically oriented. This is to ensure the flag does not droop, which would greatly complicate the effect of gravity. In studying the free response, it is found that the Bessel function of the first kind describes the flag. Lastly, Galerkin’s method is applied to the system. This allows for the deflection and the voltage produced by the flag to be found. It is found that the presented model reasonably predicts both the deflection and voltage of the piezoelectric flag.
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ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
September 21–23, 2015
Colorado Springs, Colorado, USA
Conference Sponsors:
- Aerospace Division
ISBN:
978-0-7918-5730-4
PROCEEDINGS PAPER
Forced Response Analysis of a Piezoelectric Flag Modeled as a Membrane
Gary Frey
,
Gary Frey
The University of Alabama, Tuscaloosa, AL
Search for other works by this author on:
Nima Mahmoodi
Nima Mahmoodi
The University of Alabama, Tuscaloosa, AL
Search for other works by this author on:
Gary Frey
The University of Alabama, Tuscaloosa, AL
Nima Mahmoodi
The University of Alabama, Tuscaloosa, AL
Paper No:
SMASIS2015-9013, V002T07A015; 8 pages
Published Online:
January 11, 2016
Citation
Frey, G, & Mahmoodi, N. "Forced Response Analysis of a Piezoelectric Flag Modeled as a Membrane." Proceedings of the ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Integrated System Design and Implementation; Structural Health Monitoring; Bioinspired Smart Materials and Systems; Energy Harvesting. Colorado Springs, Colorado, USA. September 21–23, 2015. V002T07A015. ASME. https://doi.org/10.1115/SMASIS2015-9013
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