I was trying to model energy harvester based on PZT material and wanted to study some basics first. And since my background is pure civil engineering one so need a quick and simplified equation so that I can move ahead from there.
I have encountered three documents about your requirements, which I am sending you in their complete formats, in three attached files (a congress, a doctoral thesis and a journal paper):
- MODELING OF A CANTILEVER BEAM FOR PIEZOELECTRIC ENERGY HARVESTING
by: Andreza Tangerino Mineto, Meire Pereira de Souza Braun, Hélio Aparecido Navarro, Paulo Sérgio Varoto. Congress DINCON`10. Brasil. 2010.
- "Electromechanical Modeling of Piezoelectric Energy Harvesters", by: Alper Erturk,
Doctoral Thesis. 2009, Virginia Polytechnic Institute (USA).
- Modeling and analysis of a bimorph piezoelectric cantilever beam for voltage
generation. by: J Ajitsaria, S Y Choe, D Shen and D J Kim. Smart Mater. Struct. 16 (2007), pp. 447–454.