Optimizing the Piezoelectric Energy Harvester for the Second Eigen Frequency: Mathematical Modeling and Experimental Investigation of Optimal Beam Shapes

Abstract This paper is dedicated to the optimization of the beam shape of a piezoelectric energy harvester (PEH) for maximum efficiency at the second eigenfrequency. A combination of mathematical modeling and experimental investigation is used to design and confirm an optimal shape for the cantilever, maximizing strain in the upper layers of the active element. The cantilever beam shape is nonlinear throughout the cross-section of it. The experimental results confirm that the optimal shape beam produces around 70% higher output power than the initial shape. The findings of this study can be used to guide the design of more efficient PEHs for a variety of applications.