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In this article, numerical approach is proposedfor dynamic behavior of symmetrical sandwich beams with viscoelastic core under movingload using the Hamilton's principle formulation and the finite element method solution. The dynamic responses are obtained for different configurations using the modal superposition method and the implicit Newmark integration scheme. The analysis shows that the viscoelastic damping has a significant effect on the vibration behavior involving the improvement of the damping of the structure. The parametric study of the effect of the configuration parameters shows that the sandwich structure has more dissipative capacities of vibratory energy by adopting adequate configurations to the structure.

The present study is concerned with the dynamic analysis of sandwich beams, with a viscoelastic core between composite layers and subjected to a moving load. The governing equations are derived by application of Hamilton principle and solved by finite element method. The coupled system of equations is integrated numerically by the Newmark method. Facial composites are modeled using classical plate theory and the kernel using Timoshenko’s theory. This study deals with free and forced vibrations of the sandwich beams by considering the frequency according to the viscoelastic properties in frequency- domain and the numerical asymptotic method is employed in order to solve the complex eigenvalue problem. The influences of viscoelastic loss factor, orientation fiber of the composite layers and thickness ratio on the dynamic responses of sandwich beams are investigated. The results reported in this paper show that the viscoelastic loss factor has a significant effect on the vibration behavior involving the improvement of the damping of the structure. The influence of fiber orientation on vibration behavior showed that the damping of the structure could be improved by adopting a better configuration of the composite layers. The results obtained with the effect of the thickness ratio show that the sandwich structure has a greater dissipative vibratory energy capacity for the low viscoelastic thickness values.

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