LAUSR

This paper describes a theoretical method for free vibration analysis of two elastic and isotropic cylinders filled with a dense fluid. The free vibration of two cylinders is studied on the basis of the linear three-dimensional elasticity theory. The compressible fluid is assumed to be nonviscous and isotropic which satisfy the acoustic wave equation. In this paper, the coupled dispersion equations of longitudinal, flexural and lobar modes are deduced and analytically solved. The finite element results computed by the Comsol Multiphysics software are compared with the present method for validation and an acceptable match between them was obtained. It is shown that the results from the proposed method are in good agreement with the numerical solutions. With this method, the effects of the cylinder parameters, such as the circumferential wave, the axial wavenumber, the thickness-to-radius and the length-to-radius on the coupled frequencies are investigated.