Abstract
In the present work, the nonlinear vibration behavior of elastic-viscoelastic-elastic sandwich (EVES) beams is studied. A finite element (FE) equation taking intoaccount the transverse compression deformation of the viscoelastic core for the EVES beams is derived. In order toaccurately characterize the frequency-dependent feature of the viscoelastic materials layer, athird-order seven-parameter Biot model isused. A 2-node 8-DOF element is established to discretize the EVES beams. The experimental testing onEVES beams validates the numerical predication of the FE model. Numerical and analytical investigations are carried on a series of EVES beams with different thicknesses. The results indicate that the presented FE model has better accuracy in predicting the natural frequency of the sandwich beams, and in predicting damping, the accuracy is related to the thickness of each layer. The results of this paper have important reference values for the design and optimization of the viscoelastic sandwich structure.
Highlights
The Sisemore model assumed that the viscoelastic layer was a compressible spring, and the vibration energy was dissipated through the transverse compression of the spring, and there was no shear effect
The structural damping is only caused by the transverse compression/tensile deformation of the viscoelastic sandwich layer; The constraint layer and the base beam are regarded as Euler-Bernoulli beams; Considering the compression deformation of the viscoelastic layer perpendicular to the neutral plane of the beam, it is considered that the base beam layer, the damping layer, and the constraint layer have different deflection functions, and the transverse displacement of the viscoelastic layer is the linear interpolation of the two surface layers; The materials of each layer are firmly pasted, and there is no relative sliding between the layers; The influence of the moment of inertia of each layer is ignored
It is considered that the viscoelastic material is compressible, and the damping of the elastic-viscoelastic-elastic sandwich (EVES) beam is only caused by the transverse compression/tension of the viscoelastic layer.Biot model is used to describe the frequencydependent characteristics of viscoelastic materials
Summary
Sandwich structure is a special type of composite structure. It has the ability to significantly reduce weight while maintaining mechanical properties. When the relative movement of the constrained layer and the base beam layer is perpendicular to the neutral plane of the beam, the viscoelastic core layer will produce compression-tension deformation to dissipate vibration energy. Put, the former considers the viscoelastic layer to be incompressible, and the latter. Materials 2021, 14, 7751 ofthe constrained layer and the base beam layer is perpendicular to the neutral plane of beam, the viscoelastic core layer will produce compression-tension deformation to dissipate vibration energy.
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