On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells

• 作者: Mohammed Tajuddin Syed Ahmed Shah
• 来源期刊: 声学期刊(英文)
• 学科: 数学
• 关键词: Biot’s Theory AXIALLY SYMMETRIC Vibrations RADIAL Vibrations Rotatory Vibrations SPHERICAL Shell Elastic FLUID Pervious SURFACE Impervious SURFACE Frequency
• 年，卷（期）: 2011,（2）
• 页码范围: 15-26
• 页数: 12页
• 分类号: O1

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.