Study of the bending modes in circular quartz resonators

An experimental and theoretical study of bending modes in a partially electroded circular piezoelectric quartz (AT-cut) with free edge is presented. The quartz is excited by a voltage pulse applied on the electrodes, and its surface is scanned by a laser vibrometer that measures the out-of-plane dis...

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Veröffentlicht in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2006-10, Vol.53 (10), p.1934-1943
Hauptverfasser: Leclaire, P., Goossens, J., Martinez, L., Wilkie-Chancelier, N., Serfaty, S., Glorieux, C.
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container_end_page 1943
container_issue 10
container_start_page 1934
container_title IEEE transactions on ultrasonics, ferroelectrics, and frequency control
container_volume 53
creator Leclaire, P.
Goossens, J.
Martinez, L.
Wilkie-Chancelier, N.
Serfaty, S.
Glorieux, C.
description An experimental and theoretical study of bending modes in a partially electroded circular piezoelectric quartz (AT-cut) with free edge is presented. The quartz is excited by a voltage pulse applied on the electrodes, and its surface is scanned by a laser vibrometer that measures the out-of-plane displacements. The classical theory of bending of thin disks is used to describe the flexural modes at frequencies lower than the first thickness shear resonance (6 MHz). A fairly good agreement is found between experimental and theoretical results for the forced mode shapes and for the resonance frequencies. However, it appears that the two springs used to maintain the disk in position introduce extra clamping conditions. Several source shapes were studied, among which a collection of an arbitrary number of forces is particularly useful. The two-dimensional wavenumber representation shows the presence of anisotropy related to the crystallographic axes at higher frequencies, which is not predicted by the model. The experimental phase velocities are compared to those given by the classical theory of disks and to those of Lamb A 0 mode. This study confirms the correspondence at low frequencies between the A 0 mode and the bending eigenmodes of a disk with finite size
doi_str_mv 10.1109/TUFFC.2006.126
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The quartz is excited by a voltage pulse applied on the electrodes, and its surface is scanned by a laser vibrometer that measures the out-of-plane displacements. The classical theory of bending of thin disks is used to describe the flexural modes at frequencies lower than the first thickness shear resonance (6 MHz). A fairly good agreement is found between experimental and theoretical results for the forced mode shapes and for the resonance frequencies. However, it appears that the two springs used to maintain the disk in position introduce extra clamping conditions. Several source shapes were studied, among which a collection of an arbitrary number of forces is particularly useful. The two-dimensional wavenumber representation shows the presence of anisotropy related to the crystallographic axes at higher frequencies, which is not predicted by the model. The experimental phase velocities are compared to those given by the classical theory of disks and to those of Lamb A 0 mode. 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source IEEE Electronic Library (IEL)
subjects Acoustics
Anisotropy
Bending
Disks
Electrodes
Engineering Sciences
Exact sciences and technology
Frequency
Fundamental areas of phenomenology (including applications)
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Laser excitation
Laser modes
Mathematical models
Measurement and testing methods
Optical pulses
Physics
Pulse measurements
Quartz
Resonance
Shape
Shear
Solid mechanics
Structural and continuum mechanics
Studies
Surface emitting lasers
Transducers
Ultrasonics, quantum acoustics, and physical effects of sound
Voltage
Wavenumber
title Study of the bending modes in circular quartz resonators
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