TY - JOUR
T1 - Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation
AU - Abdelkefi, A.
AU - Nayfeh, A. H.
AU - Hajj, M. R.
PY - 2012/1
Y1 - 2012/1
N2 - A nonlinear analysis of an energy harvester consisting of a multilayered cantilever beam with a tip mass is performed. The model takes into account geometric, inertia, and piezoelectric nonlinearities. A combination of the Galerkin technique, the extended Hamilton principle, and the Gauss law is used to derive a reduced-order model of the harvester. The method of multiple scales is used to determine analytical expressions for the tip deflection, output voltage, and harvested power near the first global natural frequency. The results show that one- or two-mode approximations are not sufficient to produce accurate estimates of the voltage and harvested power. A parametric study is performed to investigate the effects of the nonlinear piezoelectric coefficients and the excitation amplitude on the system response. The effective nonlinearity may be of the hardening or softening type, depending on the relative magnitudes of the different nonlinearities.
AB - A nonlinear analysis of an energy harvester consisting of a multilayered cantilever beam with a tip mass is performed. The model takes into account geometric, inertia, and piezoelectric nonlinearities. A combination of the Galerkin technique, the extended Hamilton principle, and the Gauss law is used to derive a reduced-order model of the harvester. The method of multiple scales is used to determine analytical expressions for the tip deflection, output voltage, and harvested power near the first global natural frequency. The results show that one- or two-mode approximations are not sufficient to produce accurate estimates of the voltage and harvested power. A parametric study is performed to investigate the effects of the nonlinear piezoelectric coefficients and the excitation amplitude on the system response. The effective nonlinearity may be of the hardening or softening type, depending on the relative magnitudes of the different nonlinearities.
KW - Energy harvesting
KW - Method of multiple scales
KW - Nonlinear analysis
KW - Nonlinear distributed parameter model
KW - Piezoelectric material
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U2 - 10.1007/s11071-011-0064-9
DO - 10.1007/s11071-011-0064-9
M3 - Article
AN - SCOPUS:84855799096
SN - 0924-090X
VL - 67
SP - 1221
EP - 1232
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 2
ER -