Abstract
An analysis for damping of shallow shells with a constrained viscoelastic layer and metal layers is presented. In this paper, vibration damping properties of three layered shallow shells are analyzed by SEM (Strain energy method). Eigenvalue and eigenvector (displacement functions) are analyzed based on the Ritz method, when natural frequency, modal loss factor and strain energy are obtained. The modal loss factor is defined as a ratio of damping energy (strain energy consumed in viscoelastic layer) dissipated during a vibration cycle and total strain energy of the shell. Each of contribution rates for damping energies with respect to transverse and in-plane deformation are studied. Causes for the difference of the damping effect in each mode are investigated.