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We derived a system of two-dimensional equations for thickness-extensional vibrations of a four-layered plate consisting of a piezoelectric thin film on an elastic substrate with driving and ground electrodes. It takes into consideration the couplings among the thickness-extensional mode to extensional, flexural, fundamental and second-order thickness-shear modes. Mindlin's approach of using a power...
This paper mainly analyzes the fundamental and third order thickness shear modes of z-strip quartz resonator with the scalar equations derived by Tiersten and Smythe. Effects of the mass ratio and the length of the electrode on the operation modes and resonant frequencies are also studied. Exact modes can be obtained and the results show that the operation modes without nodal lines on the electroded...
This paper mainly analyzes the fundamental thickness shear modes of z-strip quartz crystal filter with the scalar equations derived by Tiersten and Smythe. Effects of the mass ratio and the distance between the electrodes on the operation modes and the resonant frequencies are also studied. Exact modes can be obtained and the results show that the operation modes without nodal lines on the electroded...
We study thickness-twist vibrations of a rotated Y-cut quartz plate with two pairs of electrodes. One is a known driving voltage. The other is connected to an output circuit. The structure can operate as a filter. Both free and electrically forced vibrations are studied. Resonant frequencies, mode shapes and the related energy trapping, output voltage, input admittance, and input and output powers...
We present our recent modeling results on power transmission through an elastic wall by piezoelectric transducers and acoustic waves. This includes the case of finite piezoelectric transducers on plates, power transmission through circular cylindrical shells, and mechanical nonlinearity due to large deformations near resonance.
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