A reduction model for eigensolutions of damped viscoelastic sandwich structures

• We develop a reduction method to determine the modal characteristics of viscoelastic sandwich structures.
• The method is based on the high order Newton method and perturbation technique.
• The results of the reduction method are obtained with significant computational time gain and good precision.

The aim of this paper is to develop a reduction method to determine the modal characteristics of viscoelastic sandwich structures. The method is based on the high order Newton algorithm and reduction techniques. Numerical tests have been performed in the case of sandwich beams and cylindrical shells. The comparison of the results obtained by the reduction method with those given by direct simulation shows both a good agreement and a significant reduction in computational cost.