Axially symmetric vibrations in poroelastic solid cylindrical panel resting on elastic foundation Manjula Ramagiri, P Malla Reddy Journal of Physics Conference Series, 2015 The axially symmetric vibrations of an isotropic poroelastic cylindrical panel resting on elastic foundations are investigated in the framework of Biot's theory. The effects of the surrounding elastic medium are considered using the spring constant of the Wrinkler type and the shear constant of the Pasternak type. The frequency equation is obtained for both pervious and impervious surfaces. Non dimensional phase velocity is computed as a function of wavenumber. Numerical results are presented graphically.
Effect of elastic foundations on vibrations of thick-walled hollow poroelastic cylinders Srisailam Aleti, Manjula Ramagiri Journal of Physics Conference Series, 2015 This paper deals with the effect of elastic foundations on the vibrations of thick- walled hollow poroelastic cylinders. The frequency equations of axially symmetric vibrations and non-axially symmetric vibrations, each for pervious and impervious surface are obtained using the analytical model based on Biot's theory. The plots of frequency versus ratio of thickness to inner radius of composite cylinder for different materials are presented graphically.
Three Dimensional Vibrations of Thermoporoelastic Solids with Two Temperatures Manjula Ramagiri, Malla Reddy Perati Procedia Engineering, 2015 Three dimensional vibrations of thermoporoelastic solids with two temperatures are investigated in the framework of Biot's theory. Equations of motion are derived in the presence of two temperatures. Frequency equation is obtained. Frequency against wavenumber and temperature parameter is computed for two poroelastic solids. As the wavenumber increases frequency increases in two similar materials wherein solid part is sandstone and fluid parts are different. Frequency of one material values are greater than that frequency of other material. This is due to the influence of fluid part present in the materials.
Flexural vibrations of poroelastic solid cylinder in the presence of static stress Manjula Ramagiri, Rajitha Gurijala, Srisailam Aleti, Malla Reddy Perati Special Topics and Reviews in Porous Media, 2015 Flexural vibrations of poroelastic solid cylinder in the presence of static stress are investigated in the framework of Biot's theory. Frequency equation is obtained in the case of static uniaxial stress. Nondimensional phase velocity is computed as a function of static uniaxial stress and wavenumber. For the numerical results, poroelastic solids, namely sandstone and bone, are employed and the results are presented graphically.