Effect of Rotation and Fluid on Radial Vibrations in a Micropolar Elastic Solid Having a Fluid-Loaded Spherical Cavity

摘要

The main objective of this study is to investigate the angular rotation effect of the solid and density of the fluid on the radial vibrations in an unbounded micropolar elastic solid with a fluid-loaded spherical cavity. The micropolar elastic solid is homogeneous and isotropic, but the loaded fluid is homogenous, isotropic, and in viscid. Dispersion relation for radial vibrations of macro-displacements is derived and which is influenced by the loaded fluid and angular rotation of the solid, while the micro-rotational vibrations are not influenced by the loaded fluid and angular rotation. All these results are not obtained in any classical theory of elasticity. Under the MATLAB program, the numerical computations for a particular solid have been performed and have also been shown graphically to understand the effect of angular rotation of the solid and density of the loaded fluid on the behavior of phase velocity and dispersion relation.