Mathematical model for power output from a plate type energy harvester

Sourav Banerjee

doi:10.1117/12.847375

8 April 2010 Mathematical model for power output from a plate type energy harvester

Sourav Banerjee

Proceedings Volume 7650, Health Monitoring of Structural and Biological Systems 2010; 765012 (2010) https://doi.org/10.1117/12.847375
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

Technological advancement in electronics has greatly reduced the power requirement Piezoelectric transduction mechanism has received great attention for being a possible candidate to harvest energy from ambient vibration. In many applications, piezoelectric transduction can be used to harvest energy from ambient vibration by applying them on a specially designed structure or innovatively coat them on the main structural components which are subjected to vibration during operation. A simple example of the host structure could be a vibrating plate. In this paper, a mathematical model is proposed for a vibrating unimorph and bimorph plate used as an energy harvester. Generally ambient vibration is random in nature and hence requires different mathematical technique to solve the problem. In this derivation Kelvin-Voigt type damping and viscous damping were considered separately in the dynamic equation. A solution mechanism is proposed for the system. Then modal analysis is performed in a short circuit condition and solution from the transcendental equation is used to calculate the modal parameters. The backward coupling term is then calculated using the modal coefficients and the explicit equation for the power output is presented.

Citation Download Citation

Sourav Banerjee "Mathematical model for power output from a plate type energy harvester", Proc. SPIE 7650, Health Monitoring of Structural and Biological Systems 2010, 765012 (8 April 2010); https://doi.org/10.1117/12.847375

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