Abstract
In this paper, we deal with the nonlinear vibration of
viscoelastic shell structures. Coupling an approximated harmonic balance method
with one mode Galerkin’s procedure, one obtains an amplitude equation depending
on two complex coefficients. The latter are determined by solving a classical
eigenvalue problem and two linear ones. To show the applicability and the
validity of our approach, the amplitude-frequency and the amplitude loss factor
relationships are illustrated for a sandwich plate with a viscoelastic central
layer and a viscoelastic circular ring.