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With the fast growth of electronic products such as wireless telecommunication devices and personal computers, quartz crystal resonators are widely used as stable and precise frequency control components. Due to miniaturization of practical product and higher frequency requirements, how to avoid mode coupling which will severely affect product's quality becomes a key problem to be solved during the...
High frequency vibrations of quartz crystal plates have been subjected to extensive studies for applications in the design and analysis of quartz crystal resonators functioning at the fundamental thickness-shear mode and its overtones. One important result needed in studies and product design is the exact dispersion relations of quartz crystal plates to be used for the validation of approximate theories,...
Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrations...
Mindlin plate equations have wide applications in engineering fields with piezoelectric crystal resonators in particular due to its accurate prediction of high frequency vibrations of plates in the vicinity of thickness-shear mode. As a linear theory based on the assumption of infinitesimal deformation, its applications have been limited mainly to vibration frequency analysis. Many important properties...
The rapid development of wireless communication technology and the clear trend of higher frequency, miniaturization, and integration of RF components have provide opportunities through the research and production of thin film bulk acoustic resonators (TFBAR). In the design of TFBAR products, how to determine the frequency is always the starting point. The thickness-extension type of resonators can...
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