Abstract

In this paper an analytical model for the coupled flexural and longitudinal vibration of a curved sandwich beam system is described. The system consists of a primary beam and a constraining beam with a viscoelastic damping material forming the core. The governing equations of motion for the forced vibration of the system are derived using the energy method and Hamilton's principle. Both shear and thickness deformation in the adhesive layer are included in the analysis. A matrix equation for solving the system resonance frequencies and loss factors is obtained by using the Rayleigh-Ritz method. A parametric study has been conducted to evaluate the effects of curvature, core thickness and adhesive shear modulus on the system resonance frequencies and loss factors. The implications of this parametric study on the damping effectiveness of the system along with some design guidelines are presented in the paper.

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