This chapter investigates electromechanical modeling of cantilevered piezoelectric energy harvesters excited by persistent
base motions. The modeling approaches are divided here into two sections as lumped parameter modeling and distributed parameter
modeling. The first section discusses the amplitude-wise correction of the existing lumped parameter piezoelectric energy
harvester model for base excitation. For cantilevers operating in the transverse and longitudinal vibration modes, it is shown
that the conventional base excitation expression used in the existing lumped parameter models may yield highly inaccurate
results in predicting the vibration response of the structure. Dimensionless correction factors are derived to improve the
predictions of the coupled lumped parameter piezoelectric energy harvester model. The second section of this chapter presents
coupled distributed parameter modeling of unimorph and bimorph cantilevers under persistent base excitations for piezoelectric
energy harvesting. Closed-form solutions are obtained by considering all vibration modes and the formal representation of
the direct and converse piezoelectric effects. Steady state electrical and mechanical response expressions are derived for
arbitrary frequency excitations. These multi-mode solutions are then reduced to single-mode solutions for excitations around
the modal frequencies. Finally, the analytical expressions derived here are validated experimentally for a cantilevered bimorph
with a proof mass.