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|Title: ||Trapped-energy high-frequency piezoelectric resonators|
|Authors: ||Wong, Hon-tung|
|Subjects: ||Hong Kong Polytechnic University -- Dissertations|
|Issue Date: ||2007 |
|Publisher: ||The Hong Kong Polytechnic University|
|Abstract: ||The resonance responses of two types of AT-cut quartz resonators, 4-MHz and 27-MHz (provided by Hong Kong X'tals Ltd.), have been studied using the commercial finite element (FEM) code ANSYS. For the 4-MHz resonator with full electrode, there exist spurious modes (thickness-twist mode, flexural mode, and inharmonic thickness-shear mode) in the vicinity (±0.2 MHz) of the fundamental thickness-shear mode resonance (f₁₁₁). After the use of an electrode of size smaller than the quartz plate, the spurious modes are not suppressed or shift to higher frequencies, and still affect significantly the vibration at f₁₁₁ . The simulations also show that the vibration at f₁₁₁ is not effectively trapped in the electroded region and spreads over the whole quartz plate, thus, the silver epoxy introduced at the ends of the quartz plate absorbs the vibration energy and the impedance at f₁₁₁ is increased. The poor energy trapping efficiency should be due to the small difference between the cutoff frequencies in the electroded and unelectroded regions as well as the low frequency of the vibration. Due to the mass loading effect, a thicker electrode (e.g. 2 μm) can decrease the cutoff frequency in the electroded region (i.e. f₁₁₁) and hence improve the energy trapping efficiency.|
Similar to the 4-MHz resonators, there exist spurious modes (the flexural mode and the inharmonic thickness-shear mode) in the vicinity of fjn for the 27-MHz resonator with full electrodes. However, all the spurious modes are suppressed or shift to higher frequencies after the use of an electrode of size smaller than the quartz plate. The simulations show that the vibration at f₁₁₁ is pure thickness-shear mode and it is effectively trapped in the electroded region. As a result, f₁₁₁ is dependent relatively stronger on the electrode length, and the impedance at f₁₁₁ does not increase significantly after the introduction of the silver epoxy. The better energy trapping efficiency should be due to the high frequency of the vibration. A new experimental method has been developed to investigate the vibration distribution of the resonators. It is based on the fact that an external load can disturb the vibration and hence change the resonance frequency as well as the impedance at resonance of a quartz plate. Good agreements between the observed and simulated vibration distributions at f₁₁₁ are obtained for both the 4-MHz and 27-MHz resonators. The dependence of f₁₁₁ on the electrode length has also been confirmed by experiments on the "commercial" resonators with different electrode lengths. Again, good agreements between the experimental and simulation results are obtained for both the 4-MHz and 27-MHz resonators. A third-overtone thickness-shear resonator with resonance frequency around 58 MHz has been designed and successfully fabricated. In the new design, two sub-electrodes are added right next to each end of the main electrode of the resonator to amplify the "leaked" vibration at f₁₁₁ from the main electrode and subsequently damped by the silver epoxy at the ends of the resonator. On the other hand, the vibration at the third-overtone thickness-shear resonance f₃₁₁ is mainly trapped in the main-electroded region and hence is not affected significantly by the sub-electrode and the silver epoxy. As a result, the impedance at f₁₁₁ becomes much larger than that at f₃₁₁ and the resonator will resonate at its third-overtone thickness-shear mode.
|Degree: ||M.Phil., Dept. of Applied Physics, The Hong Kong Polytechnic University, 2007|
|Description: ||1 v. (various pagings) : ill. (some col.) ; 30 cm.|
PolyU Library Call No.: [THS] LG51 .H577M AP 2007 WongH
|Rights: ||All rights reserved.|
|Appears in Collections:||AP Theses|
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