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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 analyses free vibration frequencies and modes for thickness-shear and thickness-twist vibrations of centrally partially electroded circular AT-cut quartz plate by using 3-D finite element models of commercial package ANSYS. The analysis has been done with the 3-D Finite Element Analysis (FEA) for displacements and vibration frequency at the thickness-shear mode, which is important in the...
We present a discussion on propagation properties of thickness-twist (TT) waves in a Y-cut quartz plate with an elastic or a functionally graded (FGM) top layer. Through a detailed deduction for the disperse relation, we studied the effects of various physical parameters on dispersion curves and cutoff frequencies. The study can provide a theoretical and numerical reference for the design and calibration...
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