Abstract
This paper presents an analysis of the dynamic behaviour of constrained layer damping (CLD) beams with thick viscoelastic layer. A homogenised model for the flexural stiffness is formulated using Reddy-Bickford’s quadratic shear in each layer, and it is compared with Ross-Kerwin-Ungar (RKU) classical model, which considers a uniform shear deformation for the viscoelastic core. In order to analyse the efficiency of both models, a numerical application is accomplished and the provided results are compared with those of a 2D model using finite elements, which considers extensional and shear stress and longitudinal, transverse, and rotational inertias. The intermediate viscoelastic material is characterised by a fractional derivative model, with a frequency dependent complex modulus. Eigenvalues and eigenvectors are obtained from an iterative method avoiding the computational problems derived from the frequency dependence of the stiffness matrices. Also, frequency response functions are calculated. The results show that the new model provides better accuracy than the RKU one as the thickness of the core layer increases. In conclusion, a new model has been developed, being able to reproduce the mechanical behaviour of thick CLD beams, reducing storage needs and computational time compared with a 2D model, and improving the results from the RKU model.
Highlights
In the last years many studies have been presented concerning the structural vibration reduction making use of passive damping control techniques by means of surface treatments with viscoelastic materials
This paper presents an analysis of the dynamic behaviour of constrained layer damping (CLD) beams with thick viscoelastic layer
The new model is able to reproduce the mechanical behaviour of three-layer sandwich beams, reducing storage needs and computational time compared with a 2D model and improving the results provided by the classical RKU model
Summary
In the last years many studies have been presented concerning the structural vibration reduction making use of passive damping control techniques by means of surface treatments with viscoelastic materials. FLD consists of adding that viscoelastic layer on a vibrating metallic base, and the configuration can be analyzed as the flexural behavior of a two-layer beam In this context, Oberst and Frankenfeld’s model [2] is traditionally used. CLD technologies are based on a viscoelastic core working under shear deformation In this configuration, this damping viscoelastic material is in the core of a three-layer sandwich structure. In order to prove the improvement achieved by the new model, a numerical application for a cantilever beam is presented comparing the solutions provided by three different finite element models: a 2D model (whose results are considered to be the reference ones) and two 1D models, based on the RKU theory and the new one, respectively. The new model is able to reproduce the mechanical behaviour of three-layer sandwich beams, reducing storage needs and computational time compared with a 2D model and improving the results provided by the classical RKU model
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
