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Archive of Applied Mechanics

, Volume 68, Issue 3–4, pp 147–157 | Cite as

A fast algorithm for soil dynamics calculations by wavelet decomposition

  • M. Lieb
  • B. Sudret
Article

Summary

The article presents a fast numerical algorithm for calculating the response of a halfspace under any surface loads. Under certain conditions there exists an analytical solution to the problem in the Fourier domain. To get the desired response, a numerical inverse Fourier transform of this analytic solution has to be made. By using a wavelet decomposition, the proposed algorithm can reduce the calculation time significantly, thus allowing the computation of complex problems. As an example, the response of the beam-halfspace coupled system under moving load is presented.

Key words Fourier transform wavelet decomposition soil dynamics beam layered halfspace moving load 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • M. Lieb
    • 1
  • B. Sudret
    • 2
  1. 1.Lehrstuhl für Baumechanik, Technische Universität München, Arcisstraße 21, D-80333 München
  2. 2.Laboratoire de Mécanique des Solides (URA 317 CNRS), ENPC-CERCSO, 6–8 Avenue Blaise Pascal, Cité Descartes Champs-sur-Marne F-77455 Marne-la-Vallée Cedex 02

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