Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form
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Department of Mathematics, Osmania University Hyderabad - 500 007, INDIA
Department of Mathematics, CMR Technical Campus Hyderabad - 500 041, INDIA
Department of Mathematics Deccan College of Engineering and Technology Hyderabad - 500 001, INDIA
Department of Mathematics, Kakatiya University Warangal - 506 009, INDIA
Online publication date: 2013-04-19
Publication date: 2013-03-01
International Journal of Applied Mechanics and Engineering 2013;18(1):189-216
Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.
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