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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 24
ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS
Edited by: B.H.V. Topping and M. Papadrakakis
Paper VII.3

On a Computational Method for Wave Propagation in Multi-Laminated Structures

D.A. Sotiropoulos and C.G. Sifniotopoulos

Department of Engineering Sciences, Technical University of Crete, Chania, Greece

Full Bibliographic Reference for this paper
D.A. Sotiropoulos, C.G. Sifniotopoulos, "On a Computational Method for Wave Propagation in Multi-Laminated Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 199-204, 1994. doi:10.4203/ccp.24.7.3
Abstract
This paper makes use of the FE collocation method for the numerical solution of linear second order homegeneous ordinary differential equations with periodic coefficients. These equations describe the propagation of elastic waves in multi-laminated structures. In the method applied it is found that if the interior collocation points are the Gauss points, namely, sigma = (sqrt(3)-1)/2sqrt(3) and 1-sigma, the mechanical filtering properties of the structure are preserved i.e., the real part of the characteristic wavenumber is an integral multiple of pi inside attenuation zones. Numerical examples illustrate the computational advantages of the method over the classical matrix method for structures with strong variations in their material parameters.

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