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D.A. Sotiropoulos and C.G. Sifniotopoulos

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

doi:10.4203/ccp.24.7.3

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.24.7.3 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £68 +P&P)
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