Analytical modeling of piezoelectric vibration-induced micro power generator

By Shih-Nung Chen, Gou-Jen Wang, Ming-Chun Chien. 2006

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An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations (2009, methodology): “Similar models were given by Chen et al [23] and Lin et al [24] where the electrical response is expressed in terms of the beam vibration response.”
An electromechanical finite element model for piezoelectric energy harvester plates (2009, background): “Researchers have proposed various models to represent the electromechanical behavior of piezoelectric energy harvesters, which range from lumped parameter models [9,20] to Rayleigh–Ritz type approximate distributed parameter models [10,11,20] as well as analytical distributed parameter solution atte”
Issues in mathematical modeling of piezoelectric energy harvesters (2008, background): “Chen et al [17] assumed the effect of piezoelectric coupling in the beam equation to be in the form of viscous damping, which is still an oversimplified assumption for distributed parameter modeling, as discussed in the following.”