Efficient asymptotic basis to reduce the forced dynamic problem of viscoelastic sandwich plates

Abstract

In this paper, an efficient asymptotic basis is proposed to reduce the forced dynamic problem of viscoelastic sandwich plates. The numerical resolution is based on the asymptotic numerical method (ANM) and finite element method (FEM). Numerical tests have been performed in the case of sandwich plates with Young’s modulus variable with respect to the frequency. The comparison of the results obtained in the reduced order model with those given in the full order model shows both a good agreement and a significant reduction in computational cost.