Abstract
A finite element solution is presented for the free vibration problem of cross-ply laminated, closed cylindrical shells. The cross-ply shell is macroscopically modeled as an orthotropic thin shell by using the classical lamination theory. Based on the energy expressions derived from the Flügge-type shell theory, the stiffness and mass matrices are formulated for a ring element of the shell. The natural frequencies are calculated for the cross-ply laminated shells with typical edge conditions and stacking sequences, and the results are compared to those in the existing literature. The effects of varying the parameters, e.g. composite material constants and cross-ply stacking sequences, upon the free vibration characteristics are discussed.
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