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The nonlinear finite element analysis is performed with the nonlinear Mindlin plate theory, which is further simplified to have only the thickness-shear and flexural modes to reduce the complicated couplings due to the consideration of material nonlinearity and higher-order strain components. The 2D nonlinear equations with two variables are implemented so the problem will have a smaller size in comparison...
The finite element analysis of quartz crystal resonators has been gradually adopted in the design and product improvement for the advantage in predicting the vibration frequency, energy trapping, and calculation of device properties. The analysis can be done with 3D theory of elasticity or piezoelectricity or the Mindlin plate theory by general purpose software or custom development, which has the...
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