Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification

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Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling (2011, background): “Note that the inherent piezoelectric nonlinearity [31–33] is ignored in Eqs.”
Nonlinear nonconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects (2012, methodology): “While the investigation utilized parameters that yielded hardening responses, harvester piezoceramics typically exhibit softening curves (Priya et al., 2001; Stanton et al., 2010a, 2010b).”
Power extraction from aeroelastic limit cycle oscillations (2011, result): “Nonlinear terms in the electromechanical coupling are also neglected, an action that is adequately justified by comparison to experiment in a later section (Stanton and Mann, 2010; Stanton et al., 2010a,b).”
Enhanced aeroelastic energy harvesting by exploiting combined nonlinearities: theory and experiment (2011, background): “This overestimation can be attributed to material nonlinearities and nonlinearities in dissipation (Stanton et al 2010a, 2010b) not considered in this work.”
Comparison of MEMS PZT Cantilevers Based on $d_{31}$ and $d_{33}$ Modes for Vibration Energy Harvesting (2013, methodology): “The performance has been improved by several approaches such as a modification of cantilever shape to a trapezoidal design [1], nonlinear vibration using magnetic force [2], [3], use of epitaxial piezoelectric materials [4], [5],”