| Summary: | 碩士 === 淡江大學 === 機械與機電工程學系碩士班 === 104 === In this study, Biot’s poroelastic theory and classical plate theory are applied to derive the governing equations of flexural vibrations of fluid-saturated poroelastic plates. The Galerkin type finite element approach is applied to derive the stiffness matrices and load vectors of triangular as well as quadrilateral poroelastic plate elements in the frequency domain. After applying the impulsive loadings and adjusting the elastic restraints, the finite element frequency domain analysis of flexural vibrations of poroelastic plates can thus be accomplished. The impulse responses of fluid-saturated poroelastic circular plates are explored.
Upon examining the results of the non-dimensional frequency parameters of elastic plates as well as the numerical and experimental results of poroelastic plates published by other researchers, it is validated that the finite element frequency domain analysis can obtain accurate results which are influenced by material properties, loadings and boundary restraints for the flexural vibrations of poroelastic circular plates. A fluid-saturated poroelastic circular plate can present a dynamic dissipation effect owing to the interactions of the fluid and the solid skeleton. Upon examining the reduction in deflection amplitude of poroelastic circular plates, it is found that the dissipation effect is an increasing function of fluid’s viscosity, and the fundamental natural frequency is an increasing function of the bulk modulus of the fluid. Accordingly, the fundamental natural frequencies and the deflections of poroelastic circular plates can be adjusted by changing the properties of the saturated fluid. At the end of this study, the dimensionless finite element frequency domain analysis is applied to explore the influence of dimensionless parameters on the impulse responses of clamped poroelastic circular plates. The results indicated that the value of dimensionless effective mass of the solid has a pronounced effect on the fundamental natural frequency, and the value of dimensionless mass coupling parameter between the fluid and the solid has a pronounced effect on the deflection amplitude.
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