A Two-Step Hybrid Approach for Modeling the Nonlinear Dynamic Response of Piezoelectric Energy Harvesters

Table 1

Material and geometrical data used in the numerical study.

Property	Symbol	Value
Elastic modulus of the piezoelectric film		3.0 GPa
Elastic modulus of the substrate		3.79 GPa
Poisson ratio of the piezoelectric film		0.3
Poisson ratio of the substrate		0.35
Damping ratio		4.0%
Density of the piezoelectric film		1780 kg/m^3
Density of the substrate		1390 kg/m^3
Lumped tip mass		0.032 g
Piezoelectric coupling coefficient		pC/N
Electrical permittivity		106 F/m
Unimorph length		31.7 mm
Unimorph width		16.0 mm
Circuit resistance		10 M
Thickness of the piezoelectric film		28 m
Homogenized stiffness		37.7 Nmm^2
Equivalent mylar layer thickness		172 m