Antisymmetric vibrations of multilayered conical shells with constrained viscoelastic layers

The governing equations of motion for antisymmetric vibrations of a general multilayered conical shell consisting of an arbitrary number of specially orthotropic material layers have been derived using the variational principles. The analysis considers bending, extension, in-plane shear and transverse shear deformations in each of the layers and also includes its rotary, longitudinal translatory and transverse inertias. The Gale&in method has been applied for fmding the approximate solution of the shell. The correspondence principle of linear viscoelasticity has been used for evaluating the damping effectiveness of the shells consisting of elastic and viscoelastic layers. A computer program has been developed for antisymmetric vibrations of a general multilayered conical shell consisting of an arbitrary number of elastic and viscoelastic layers. Variation of resonance frequencies and the associated system loss factors with shear parameter and thickness ratio parameter for all families of modes of vibration has been reported for three-, five- and sevenlayered conical shells with three sets of classical end conditions : simply supported at both ends, clamped-clamped and free-free. Copyright 0 1996 Elsevier Science Ltd.