An isoparametric element method and Voiget-Kelvin model are adopted in this paper that can be used to derive viscoelastic element stiffness matrices. Successive approximation is used to solve the eigenvalue problem of the composite structures. The effects of boundary conditions, damped area and its position, as well as the structure stiffness on the dynamic behaviour of the composite structure are discussed. Some valuable results for engineering application have been obtained.
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