Accurate damping analysis of viscoelastic composite beams and plates on suppressive foundation

Abstract

An accurate study for dynamic behavior of viscoelastic thin laminated composite beams and plates resting on viscoelastic foundations is presented. Boltzmann superposition integral based on the dynamic mechanical analysis results is adapted to accurately predict viscoelastic behavior of polymeric fiber-reinforced composite structures. Also, foundation viscoelasticity is described based on the Kelvin–Voigt model. Integro-differential governing equations of motion are derived based on classical lamination theory via Hamilton principle. Galerkin weighted residual method, iterative QZ algorithm, and Fourier transform are applied to obtain natural frequency, loss factor, and transient response of structures resting on suppressive foundations. Influence of foundation and geometrical parameters and also boundary conditions on the dynamic behavior is put into evidence via a parametric study, and pertinent conclusions are outlined. Due to the absence of similar results in the literature, this paper is likely to fill a gap in the state of the art of this problem.