Flexural vibration behavior of piezoelectric heterogeneous bimorph beams

Bending oscillations of piezoelectric bimorph beams are effective sound sources in gases or fluids, and, therefore, of practical interest. On the basis of the piezoelectric constitutive relations and the elastodynamic equations, the differential equation of flexural vibrations of thin rectangular pi...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2002-07, Vol.49 (7), p.959-971
Main Author: Hirsekorn, S.
Format: Article
Language:English
Subjects:
Beams (radiation)
Bimorphs
Differential equations
Elastodynamics
Electrodes
Exact sciences and technology
Fatigue (materials)
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Gases
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Mathematical analysis
Mathematical models
Physics
Piezoelectric polarization
Piezoelectricity
Resonance
Resonant frequency
Solid mechanics
Steel
Structural and continuum mechanics
Studies
Transducers
Vibration
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Voltage
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Summary:Bending oscillations of piezoelectric bimorph beams are effective sound sources in gases or fluids, and, therefore, of practical interest. On the basis of the piezoelectric constitutive relations and the elastodynamic equations, the differential equation of flexural vibrations of thin rectangular piezoelectric heterogeneous bimorph beams, consisting of a piezoelectric layer glued onto an elastic substrate, is derived. The piezoelectric layer is polarized in thickness direction and can be excited to thickness vibrations by an electric alternating current voltage applied to electrodes covering the upper and lower surface of the layer. This causes an oscillating transverse contraction in the piezoelectric layer but not in the substrate, and, thus, generates flexural vibrations of the beam. The differential equation is solved analytically for beams of finite length with both ends free, one clamped and one free end, as well as for both ends clamped. Their vibration behavior in viscous fluids is considered. For a piezo-ceramic composite layer joined to a steel plate vibrating in air and in water, the analytical results are evaluated numerically as function of frequency.
ISSN:0885-3010
1525-8955
DOI:10.1109/TUFFC.2002.1020166