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Modal analysis of wave mototion in inhomogeneous waveguides which are modelled by FEM

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Języki publikacji
EN
Abstrakty
EN
This paper presents a simple computing procedure for the analysis of the wave motion in infinite layered waveguides via the analysis of the propagating wave modes. Waveguides may have irregular inclusions, which yields complicated reflections of waves, and an analytical solution is practically not feasible. The section of the waveguide, where we want to analyze the displacements and stress waves, is modelled by finite elements using standard programs for FEM. The external problem is solved as an internal one, while the radiation conditions are satisfied exactly. The procedure only some simple mathematical manipulations and is performed in the frequency domain. It yields exact results and a clear insight into the propagating wave modes. The results of the first presented numerical example are compared to the exact ones, while in the second example the foundation represents an irregularity in the waveguide composed of two layers.
Rocznik
Strony
137--144
Opis fizyczny
Bibliogr. 15 poz., rys., wykr., tab.
Twórcy
autor
  • University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, Slovenia
autor
  • University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, Slovenia
Bibliografia
  • [1] J.D. Achenbach. Wave propagation in elastic solids, North Holland Publishing Company: Amsterdam, New York and Oxford, 1973.
  • (2] G.R. Baldock, T. Bridgeman. The mathematical theory of wave motion . John Wiley & Sons, N.Y., Chichester, Brisbane, Toronto, 1981.
  • [3] C.A . Brebbia, J.C.F. Telles, L.C. Wrobel. Boundary Element Techniques. Springer- Verlag, Berlin , N.Y ., Tokyo, 1984.
  • (4] G. Beer, J.O. Watson. Introduction to finite and boundary element methods for engineers. J. Wiley & Sons, N.Y., Brisbane, Toronto, 1992.
  • [5] J.P. Wolf, Chonming Song. Finite element modelling of unbounded media. John Wiley & Sons , Chichester, New York, Toronto, 1995.
  • (6] J.P. Wolf, Chonming Song. The semi-analytical fundamental-solution-less scaled boundary finite-element method to model unbounded soil. EUROMECH Colloquium 414, Boundary Elements for Soil, University of Catania, 21-23, June 2000.
  • (7] B. Engquist, A. Majda. Absorbing boundary conditions for the numerical simulations, Mathematical Comp., 31(139): 629-651, 1977.
  • [8] A. Bayliss, E. Turkel. Radiation boundary conditions for wave-like equations. Communications on Pure and Applied Mathematics, XXXIII: 707-725, 1980.
  • [9] K. Feng. FEM and Natural Boundary Reduction. Proc. of the Intern. Congress of Mathematicians, 16-24, Warszawa, August 1983.
  • [10] J.B. Keller. Exact Non-reflecting Boundary Conditions. Journal of Computational Physics, 82: 172-192, 1989.
  • [11] D. Givoli, J.B. Keller. Non-reflecting boundary conditions for elastic waves. Wave motion, 12: 261-279, 1990.
  • [12] M. Premrov, A. Umek, I. Spacapan. An iterative FEM for solving elasto-dynamics in infinite domains, Zeitschrift für angewandte. Mathematik und Mechanik, 80, suppl. 3, p. 749-750, 2000.
  • [13] T. Hohage, F. Schmidt, L. Zschiedrich. A new method for the solution of scattering problems. In B. Michielsen and F. Decavele, eds., Proceedings of the JEE'02 Symposium, p. 251-256, Toulouse, ONERA, 2002.
  • [14] I. Spacapan, M. Premrov. Analysis of wave propagation in waveguides by FEM. International Conference CMEM X , Alicante, WIT Press, Boston, 2001.
  • [15] H.G. Natke. Einfuehrung in Theorie und Praxis der Zeitreichen- und Modalanalyse. Vieweg, Braunschwieg, 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0011-0037
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