3-DIMENSIONAL SOLUTION OF THE FREE-VIBRATION PROBLEM OF HOMOGENEOUS ISOTROPIC CYLINDRICAL-SHELLS AND PANELS

The free vibration problem of a homogeneous isotropic thick cylindrical shell or panel subjected to a certain type of simply supported edge boundary conditions is considered. For this problem, the governing equations of three-dimensional linear elasticity are employed and solved by using a new iterative approach which, in practice, leads to the prediction of the exact frequencies of vibration. In the particular case of a flat plate or a complete shell, excellent agreement is achieved between results based on the present approach and corresponding results based on other exact analyses available in the literature. For certain cylindrical panel geometries, comparisons are also made between corresponding numerical results based on the present analysis and certain two-dimensional shell theories. © 1990.