Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects

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On the Role of Nonlinearities in Vibratory Energy Harvesting: A Critical Review and Discussion (2014, background): “The literature contains several lumped- and distributedparameter models of VEHs [32,34,35]; however, these models are generally device specific and, hence, not very appropriate to build a qualitative understanding of the response behavior.”
Underwater thrust and power generation using flexible piezoelectric composites: an experimental investigation toward self-powered swimmer-sensor platforms (2011, background): “Our recent efforts [59] toward understanding the nonlinearities in energy harvesting reveal that the primary sources are the elastic (material) and dissipative nonlinearities since the electric field levels in energy harvesting are relatively low.”
Energy harvesting by means of flow-induced vibrations on aerospace vehicles (2016, background): “Note that this paper focuses on EH analysis based on linear piezoelectric constitutive relations, although piezoelectric nonlinearities need to be considered in specific cases [69].”