The Power Harvest of Laminated Piezoelectric Plates
Date Issued
2012
Date
2012
Author(s)
Cheng, Chen-Hsiang
Abstract
Abstract
The object of this article is to estimate the amount of current generated by laminated piezoelectric plates in base vibration. Discuss the factor of the base vibration frequency and the external circuit impedance value in the relationship between the current and the power.
First, based on Kirchhoff plate theory, it can be assumed that only the electric field of thickness direction remains for the upper and lower surfaces covered full electrode. Develop the governing equations of the laminated piezoelectric plates through the piezoelectric constitutive equations.
Next, discuss two special situations, the external circuit impedance is zero and the external circuit impedance is infinite. Derive the governing equations from the e-form and h-form of piezoelectric constitutive equations separately. And then discuss the property of self-adjoint in various types of boundary conditions of the laminated piezoelectric plates.
Finally, in the situation of e-form piezoelectric constitutive equations and zero impedance, solving the displacement field and the potential field of the laminated piezoelectric cantilever plate under different frequency of base excitation. After solving the displacement field, through piezoelectric constitutive equations and given an applied potential field, with the Ohm''s law to find the correct displacement field and the potential field, the amount of current under different frequency of base excitation can be obtained. And then discuss the efficiency of energy transformation under different external circuit impedance.
Subjects
piezoelectric materials
Kirchhoff plates
power harvest
Type
thesis
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