Piezoelectric energy harvesting from broadband random vibrations

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Piezoelectric energy harvesting from transverse galloping of bluff bodies (2012, methodology): “Including the piezoelectric transducer and considering a load resistance in the electrical circuit [39–41, 19, 15], we write the governing equations of the coupled electromechanical system as”
Piezoelectric energy harvesting from vortex-induced vibrations of circular cylinder (2013, methodology): “Including the piezoelectric transducer and considering a load resistance in the electrical circuit [40,41,26], we add to the flow equations, the equations governing the cylinder displacement, Y, and generated voltage, V, which are written as M € Y þ C _ Y þ KY−θV 1⁄4 FY ðtÞ; (6)”
Piezoelectric energy harvesting from flow-induced vibration (2010, positive): “The other possible route to account for the random ambient flow sources is to minimize the mechanical damping or maximize the electromechanical coupling of the device [24].”
The benefits of Duffing-type nonlinearities and electrical optimisation of a mono-stable energy harvester under white Gaussian excitations (2012, background): “This led to a significant body of work which focused on analysising the response of energy harvesters to random excitations ([7, 8, 9, 10, 11]) something which will also be the focus of this paper.”