Influence of Viscosity Loss on Coupled Vibrations of Ultrahigh Frequency AT-Cut Quartz Plates

Self Cite

We studied the effect of silicone-type adhesive layers on vibrations of an AT-cut quartz plate used in a surface-mount-device resonator. Simplified surface tractions were employed for stresses at the interface between a plate and an adhesive layer. It was presumed that three displacements excited at a point of the plate surface could independently propagate and decay into only the thickness direction of the adhesive layer. Exact two-dimensional (2D) analysis confirmed the approximation. When the adhesive layer behaves like complex mass loading, the resonant characteristics of the plate are independent of the layer thickness. In such cases, we analyzed 3D vibrations of a rectangular AT-cut plate partially perturbed by the lossy surface tractions. Calculated results showed that the surface tractions produced a negligible change in frequency and a remarkable increase in resistance, and they verified that we successfully introduced the effect of soft adhesive layers into 3D analysis through the approximation.

Section: Introductionmentioning

confidence: 84%

“…4) The 2D and 3D vibrations of rectangular AT-cut plates without adhesive layers were also analyzed by several authors. [5][6][7][8][9] However, it is very difficult to analyze 3D vibrations of rectangular plates including the inner regions of silicone-type adhesive layers (Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

Analysis of Rectangular AT-Cut Quartz Resonators with Soft Adhesive Layers Using Simplified Surface Tractions

Sekimoto¹

2011

Self Cite

“…Filters=duplexers [208][209][210][211][212][213][214][215][216][217][218] Resonators [219][220][221][222][223] SAW sensors 20,209,[211][212][213]216,217,219, Ultrasonic transducers [262][263][264][265][266][267][268][269][270][271] Functional modules [272][273][274][275] Piezoelectric transformers 276) Nonlinear devices 260,277,278) Acoustic sensors (physical, chemical, bio, etc. )…”

Section: Transmittermentioning

confidence: 99%

Introduction of measurement techniques in ultrasonic electronics: Basic principles and recent trends

Mizutani¹,

Wakatsuki²,

Ebihara³

2016

Measurementthe act of measuring physical properties that we performhas the potential to contribute to the successful advancement of sciences and society. To open doors in physics and other sciences, various measurement methods and related applications have been developed, and ultrasound has remained a useful probe, power source, and interesting measurement object for the past two centuries. In this paper, we first summarize the basic principles of ultrasound from the viewpoint of measurement techniques for readers who just have started studying or are interested in the field of ultrasonic electronics. Moreover, we also introduce recent studiesultrasonic properties of materials, measurement techniques, piezoelectric devices, nonlinear acoustics, biomedical ultrasound, and ocean acousticsand their trends related to measurement techniques in ultrasonic electronics to provide some ideas for related applications.

“…The method used for 3D analysis conforms to conventional mode-matching. 2,3,[6][7][8] The structure of a plate is separated into three regions Àa x 1 Àe 1 , jx 1 j e 1 , and e 1 x 1 a. By applying a two-dimensional expansion of Legendre polynomials to the crosssection, (jx 2 j b and jx 3 j c), 9,10) eigenwaves guided along the x 1 -axis are found to construct a free solution for each region.…”

Section: Three-dimensional Modelmentioning

confidence: 99%

Three-Dimensional Analysis of Coupled Vibrations of Rectangular AT-Cut Quartz Plates with Tab Electrodes

Sekimoto¹,

Fujiwara²,

Goka³

et al. 2009

Self Cite

We numerically analyzed the influence of strip tab electrodes on the coupled vibrations of the fundamental thickness-shear (TS) and flexural modes in a rectangular AT-cut quartz plate with rectangular central electrodes. It was assumed that the tabs were extended along the x 1 (X ) axis and softly supported at two points on a single x 1 -edge of the plate. We calculated the frequency spectra near the main TS response for three types of tab configurations that possessed a twofold rotational symmetry about the crystal X -axis of quartz as well as the rectangular plate and central electrodes. These results verified that the tabs affect the characteristics of coupling between the TS and spurious modes, and demonstrated that the coupling strength depended on both tab width and tab arrangement. We also clarified each property for the three types of tab configurations. #