A semianalytical finite element for doubly curved, multilayered shells of revolution, based on an extension of the displacement field proposed by Wilkins et al., is proposed. Numerical analysis is done to study the vibration and damping characteristics of multilayered fluid filled shells with alternating elastic and viscoelastic layers. The effect of varying the number of viscoelastic layers on the vibration and damping characteristics is also studied. The effect of the fluid is incorporated by the added mass concept. The effect of shear parameter on natural frequency and modal loss factor is studied for various circumferential and axial modes.