The Finite Element Simulation Of Complex Structure

Finite element analysis is a powerful approach to the vibration analysis of complicated structures including the piezoelectric acoustic wave resonators such as the quartz crystal resonators, which usually vibrate at the thickness-shear mode with much higher frequency. The analysis has been done with the Mindlin plate equations for straight-crested wave solutions for displacements and vibration frequency, which are important in the design of quartz crystal resonators. But the spatial distribution of displacements with structural complications such as thickness variation, electrodes, and mountings is hard to obtain. Such solutions will be important to explain the dominant properties of the thickness-shear vibrations in a finite plate such as the frequency variation and displacement confinement, but more accurate solutions for actual resonators can only be obtained with the finite element method, with the sophistication of general purpose finite element software such as ANSYS, ABAQUS, NASTRAN, and lately COSMOL and widely available computing power, the high frequency vibrations of quartz crystal resonators have been studied with these popular and powerful tools. In a similar way, we analysed another widely used frequency control devices called surface acoustic wave devices. We choose the ANSYS on a Windows based personal computer as the analysis platform, and typical models of quartz crystal resonators with rectangular and circular configurations are created and analyzed. The accurate solutions of displacement distribution can be used in the optimal selection of the structural parameters. Besides, another work is done to simulate the blood cells suspension under alternating electric field in different frequencies by using the quasi-static electric field module of the finite element analysis software ANSYS. We assume the blood cells suspension to be an ideal three-dimensional model. It is a three-phase two interface structure formed by extracellular liquid, membrane and cytoplasm with different dielectric constants and conductivity. Finally, we obtained the relationship between the frequency of electric field and the real part and imaginary part of dielectric constants of the blood model, or the dielectric spectra of blood respectively.