Vibration and stability analyses of cross-ply laminated circular cylindrical shells

Abstract An improved analytical procedure is introduced in the context of free vibration and stability problems of cross-ply laminated circular cylindrical shells. The Donnell shear-deformation type theory and Donnell's classical theory are used to illustrate the procedure. Numerical results are presented for shells with a variety of boundary conditions. Special attention is given to the axisymmetric problems and new results, not yet found in the literature, for stability and vibration are reported. It is recommended that the new technique be used for generating the Levy-type solutions in vibration and stability problems of laminated shell panels and plates when the number and order of equations are higher than those of the classical theories.

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