Abstract
In this work, a finite element model was developed for vibration analysis of sandwich beam with a viscoelastic material core sandwiched between two elastic layers. The frequency-dependent viscoelastic dynamics of the sandwich beam were investigated by using finite element analysis and experimental validation. The stiffness and damping of the viscoelastic material core is frequency-dependent, which results in complex vibration modes of the sandwich beam system. A third order seven parameter Biot model was used to describe the frequency-dependent viscoelastic behavior, which was then incorporated with the finite elements of the sandwich beam. Considering the parameters identification, a strategy to determine the parameters of the Biot model has been outlined, and the curve fitting results closely follow the experiment. With identified model parameters, numerical simulations were carried out to predict the vibration and damping behavior in the first three vibration modes, and the results showed that the finite model presented here had good accuracy and efficiency in the specific frequency range of interest. The experimental testing on the viscoelastic sandwich beam validated the numerical predication. The experimental results also showed that the finite element modeling method of sandwich beams that was proposed was correct, simple and effective.
Highlights
Viscoelastic materials have both elasticity and viscidity, and viscoelastic damping exists inside them, which can effectively suppress vibration and noise in engineering structures [1,2]
A 2-node 8-degrees of freedom (DOF) composite beam element was established for structural discretization of viscoelastic sandwich beams
The Biot constitutive model was used to consider the frequency-dependent properties of a viscoelastic material
Summary
Viscoelastic materials have both elasticity and viscidity, and viscoelastic damping exists inside them, which can effectively suppress vibration and noise in engineering structures [1,2]. GHM model can be incorporated the finite element dynamic equation of scholars have the used this method to study the vibrationwith of viscoelastic composite structures [29,30,31]. Thethe introduction and research on has parameter amount of calculations when performing vibration analysis of viscoelastic composite structures, determination and the engineering application of the Biot model is rare. From these references it and can theobserved. Biot model to analyse the viscoelastic composite structures, and those in the finite element method, are both the principal motivation for the present study.
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