Finite Element Model for Harmonic Response of a Viscoelastic Sandwich Beam

摘要

After a discussion of the possible use of the sandwich beam design as a means ofincorporating damping into tuned mass dampers, the development of a finite element model for viscoelastic sandwich beam analysis is presented. The requirement for future use of the viscoelastic sandwich beam design in TMDs is to have a method by which the response of a beam with any given dimensions or end conditions can be determined. A survey of previous published research into sandwich beam behavior demonstrates the need for the finite element approach. The theory and assumptions presented in this previous research, provide the basis for the development of the approximation model presented here. A finite element model is presented that utilizes sandwich beam theory developed for thick damping layers. The model is constructed using standard beam and bar shape functions. Through an approximation introduced by observing the spatial variation of the core shear deformation, it was possible to eliminate all core variables and express the element behavior in terms of nodal displacements of the top and bottom face plates only. A FORTRAN computer program was written to perform the finite element analysis. Using experimental data from previous research and data obtained through use of computer analysis software, results from this model are compared. The results are used to support the conclusion that this working model can be used in the future for the analysis of viscoelastic sandwich beams.