A study on vibrations in a composite poroelastic concentric cylinder

Abstract

The problem of vibrations of an infinitely long poroelastic composite hollow cylinder is solved by employing Biot’s theory of wave propagation in poroelastic media. A poroelastic composite hollow cylinder consists of two concentric poroelastic cylindrical layers both of which are made of different poroelastic materials with each poroelastic material as homogeneous and isotropic. The frequency equation of vibrations of poroelastic composite hollow cylinder is obtained along with some particular cases. Non-dimensional Phase velocity is computed as a function of wave number. The results are presented graphically for two types of poroelastic composite cylinders and then discussed. The vibrations of poroelastic composite hollow cylinder related to core and casing for pervious surface are uncoupled when the solid in casing is rigid.