On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells
On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells作者机构：不详
出 版 物：《Open Journal of Acoustics》 (声学期刊（英文）)
年 卷 期：2011年第1卷第2期
页 面：15-26页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Biot’s Theory Axially Symmetric Vibrations Radial Vibrations Rotatory Vibrations Spherical Shell Elastic Fluid Pervious Surface Impervious Surface Frequency
摘 要：Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with fluid are studied. The frequency equation of axially symmetric vibrations for a pervious and an impervious surface is obtained. Free vibrations of a closed spherical shell are studied as a particular case when the fluid is vanished. Frequency as a function of ratio of thickness to inner radius is computed in absence of dissipation for two types of poroelastic materials each for a pervious and an impervious surface. Results of previous works are obtained as a particular case of the present study.
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