Nonlinear Frequency Response of Sandwich Beam with Frequency-Dependent Viscoelastic Core Using Reduced-Order Finite Element Method

Abstract

AbstractIn the present work, the effect of frequency-dependent viscoelastic property on the forced/parametric resonant amplitude of viscoelastic sandwich beam is investigated by deriving a reduced-order finite element model (ROM) in frequency domain. In this concern, the frequency-dependent viscoelasticity is modelled using fractional Zener model and the corresponding responses of sandwich beam are compared with that are derived using an equivalent Kelvin-Voigt model. The ROM in frequency domain is derived by implementing harmonic balance method prior to the finite element discretization and reduced-order transformation. The comparison of frequency responses evaluated using ROM and full-order model revealed that the ROM with reduction basis from modal strain energy method provides the response of frequency-dependent viscoelastic sandwich beam with reasonable accuracy. Further, the frequency-dependent viscoelastic property has shown a significant effect on the resonant amplitudes especially when compared with an equivalent Kelvin-Voigt model in wide-frequency range. Moreover, the results suggest that the nonlinear frequency response analysis of viscoelastic layered beams using Kelvin-Voigt model may be reasonably accurate when the different model parameters are considered around each modal natural frequency.KeywordsViscoelastic sandwich beamReduced-order finite element modelHarmonic balance methodKelvin-Voigt model