Abstract
Athree-layer composite plate element is developed for finite element modeling and vibration analysis of sandwich plate with frequency-dependent viscoelastic material core. The plate element is quadrilateral element bounded by four-node with 7-degree-of-freedom per node. The frequency-dependent characteristics of viscoelastic material parameters are described using the Biot model. The method of identifying the parameters of the Biot model is given. By introducing auxiliary coordinates, the Biot model is combined with the finite element equation of the viscoelastic sandwich plate. Through a series of mathematical transformations, the equation is transformed into a standard second-order steady linear system equation form to simplify the solution process. Finally, the vibration characteristics of the viscoelastic sandwich plate are analyzed and experimentally studied. The results show that the method in this paper is correct and reliable, and it has certain reference and application value for solving similar engineering vibration problems.
Highlights
Many materials have viscoelastic properties [1,2,3], among which viscoelastic materials have excellent energy dissipation properties [4]
The Biot model is used to consider the model is incorporated into the finite element equation of the viscoelastic sandwich plate, and frequency-dependent properties of viscoelastic materials, and the method to determine its parameters transforms it into a standard second-order differential equation form to simplify the solution process
A finite element modeling is developed for the sandwich plate with a frequency-dependent viscoelastic material core
Summary
Many materials have viscoelastic properties [1,2,3], among which viscoelastic materials have excellent energy dissipation properties [4]. The GHM leads to too many dimensions of system equations; the generalized Maxwell model needs to obtain the performance parameters of viscoelastic materials in frequency-dependent Young’s modulus and loss factors in power series in the sandwich plate finite a wide frequency range, which will cause difficulties in practical applications, and the fractional model by using an iterative scheme. This work presents a new finite element method combined with Biot model for frequencyobtain the performance parameters of viscoelastic materials in a wide frequency range, which will dependent viscoelastic sandwich plates. The Biot model is used to consider the model is incorporated into the finite element equation of the viscoelastic sandwich plate, and frequency-dependent properties of viscoelastic materials, and the method to determine its parameters transforms it into a standard second-order differential equation form to simplify the solution process. The results show that the method presented this paper is correct and reliable
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