the increasing electrical response of piezoelectric nonlinear plate in harmonic excitation with strain nodes

Electrical energy can be harvested from the vibrations of piezoelectric plates. the behavior of the piezoelectric plate is simulated using electromechanical coupling. given the large strain experienced by the flexible plate, the linear theory is inadequate; therefore, the effect of von karman strain must be considered. this paper investigates and validates the vibrational behavior of a piezoelectric nonlinear plate. specifically, it employs coupled equations for a multilayered plate, incorporates von karman’s nonlinear strain, and applies mindlin’s first-order shear deformation theory. the electrical response is obtained through finite element analysis of the piezoelectric nonlinear plate in matlab. different boundary conditions are considered to verify the results, including clamped edges, simply supported edges, and a combination of two simply supported and two clamped edges. the electrical response of the open-circuit case under harmonic excitation is presented. furthermore, the phenomenon of voltage cancellation during plate vibrations is studied, and a method for enhancing energy harvesting performance using separated electrodes is proposed. the results indicate that, across all cases, the voltage response with a continuous electrode is lower than with segmented electrodes at the first natural frequency.