Abstract

Free vibrations of cross-ply laminated shells subjected to different sets of edge boundary conditions are investigated on the basis of an advanced unified five-degree-of-freedom shear deformable shell theory. The theory unifies most of the shear deformable shell theories by means of a general shape function which takes into account shear deformation effects. As a result, most of the well known shear deformable shell theories available in the literature are obtained as particular cases. The governing equations obtained are transformed into a set of first-order linear ordinary differential equations and solved by use of the state-space concept. The presence of the general "shear deformation shape function" provides further open possibilities in considering the material and the geometrical constraints of the problem in a realistic manner. Numerical results are presented for symmetric cross-ply laminated shells and compared with those of other known models.

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