An Improved Lumped Parameter Model for a Piezoelectric Energy Harvester in Transverse Vibration

Table 2

Material and geometric parameters. Source: Erturk and Inman, 2009 [15].

Item	Value
Piezoelectric plate density 𝜌𝑝 (kg/m^3)	7800
Substrate plate density 𝜌𝑠 (kg/m^3)	9000
Piezoelectric plate stiffness 𝐸𝑝 (GPa)	66
Substrate plate stiffness 𝐸𝑠 (GPa)	105
Strain constant 𝑑31 (C/m)	−190×10^−12
Stress constant 𝑒31 (C/m)	−11.5
Vacuum permittivity 𝜀0 (F/m)	8.854×10^−12
Absolute permittivity 𝜀^𝑆33 (F/m)	1500 𝜀0
Beam length 𝐿 (mm)	50.8
Beam width 𝑏 (mm)	31.8
Piezoelectric plate thickness ℎ𝑝 (mm)	0.26
Substrate platethickness ℎ𝑠 (mm)	0.14
Damping ratio of elastic magnifier 𝜉𝑏	0.002
Damping ratio of piezoelectric beam 𝜉eq	0.027
Tip mass 𝑀𝑡 (kg)	0.012
Load resistance 𝑅𝐿(Ω)	1000