A Reissner's mixed variational theorem applied to vibration analysis of multilayered shell

A comprehensive model of anisotropic multilayered double curved shells fulf illing a priori the interlaminar continuity requirements for the transverse shear and transverse normal stress as well as the static conditions on the bounding surfaces of the shell is developed in this paper. To this end, Re issner's mixed variational theorem verse normal stress as well as the stati c conditions on the bounding surfaces of the is employed to derive the equa tions governing the dynamic equilibrium and compatibility of each layer, wh ile the interlaminar continuity conditions ave used to drive the equations at the multilayered level. No assumptions have been made concerning the ter ms of type thickness to radii shelf ratio h/R. Classical displacement formu lations and related equivalent single layer equations have been derived for comparison purposes. Comparison of frequency predictions based upon the pr esented structural model with a number of results spread throughout the spe cialized literature and obtained via other models reveals that this advance d model provides results in excellent agreement with the ones based on thre e-dimensional elasticity, theory, and better as compared to the ones violat ing the interlaminar stress continuity requirements and/or transverse norma l stress and related effects.