Abstract
In order to design viscoelastic sandwich structures used as passive damping treatment, many aspects should be considered. In all methods available in the literature to model Viscoelastic Materials (VEM) a crucial step is the determination of the complex modulus, usually obtained by curve fitting experimental results. Considering that dispersions are inherent to experimental tests and also those small variations in the fitted parameters lead to considerable changes on the dynamic behavior of VEMs hence a nondeterministic model seems to be more suitable than the usual deterministic ones. In that way, starting from dynamic properties of a VEM, a nondeterministic numerical model, which takes into account incertitudes in the VEM curve fitting procedure, is proposed. This model was used to evaluate the behavior of sandwich structures, showing the advantages and disadvantages of the presented methodology, comparing damping ratios and natural frequencies results of experimental tests with the ones extracted from the proposed nondeterministic numerical GHM based model, in order to establish a method to support viscoelastic sandwich beams design.
Highlights
Aiming the reduction of structural vibrations, several techniques were developed to increase structural damping
That is the main reason that justifies the wide application of Viscoelastic Materials (VEM) in sandwich layers with stiff elastic materials working as a passive control system
Computational modeling of VEM materials may be performed in frequency domain or in time domain
Summary
Aiming the reduction of structural vibrations, several techniques were developed to increase structural damping. In view of the facilities that time domain methods may directly provide, such as the maximum displacement range in a structural model analysis, many researchers have been developing numerical methods to simulate the dynamical response of VEM in time domain Among these time-domain based methods for VEM, those that introduce extra dissipation coordinates or internal variables in order to apply the Finite Element Method (FEM), has been applied in several situations such as the ones presented by [5,6,7,8]. Similar results were achieved using Anelastic Displacement Field (ADF) method [13] in instead of GHM, in order to avoid repetition, these results are not presented
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