Abstract

An exact-solution procedure is presented for solving free vibrations of laminated composite thin shells of revolution having meridionally constant curvature. Based on the classical lamination theory, equations of motion and boundary conditions are obtained from the minimum conditions of the Lagrangian. The equations of motion are solved exactly by using a power series expansion for symmetrically laminated, cross-ply shells. Frequencies and mode shapes are presented for shells with both ends clamped and freely supported, and the effects of various parameters upon them are discussed.

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