Piezoelectric elements subjected to low frequency excitation. Empirical determination of stress and frequency influence on piezoelectric parameters

Abstract

Designing optimum energy harvesting devices is the aim of several developments based on numerical or analytical studies of different piezoelectric configurations that usually consider constant piezoelectric properties. Experimental tests on bending piezoelectric patches showed that the electrical response depended on the frequency and amplitude of the mechanical excitation for displacement-imposed systems. Analytical and numerical calculations required adapting piezoelectric parameters to properly represent experimental results. A novel formulation to calculate piezoelectric parameters using the mechanical stress and the excitation frequency as inputs is proposed and discussed. A linear dependency on the mechanical stress of the piezoelectric ceramic and a logarithmic dependency on the excitation frequency have been combined to propose a unique calculation procedure. Later, this procedure was applied to compute different piezoelectric parameters to set numerical (2% error) and analytical (1% error) calculations that accurately represented experimental results. Finally, the practical implications of considering or not considering the frequency and stress dependency of the piezoelectric properties was evaluated for a theoretical bimorph cantilever configuration, whose excitation frequency decreased whereas the amplitude was kept constant. Results showed that only 1/3 of the energy production that was predicted with constant piezoelectric properties can be expected when considering frequency and stress influence.