Wave Propagation in Infinite Domains

With Applications to Structure Interaction

  • Lutz Lehmann

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 31)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Theory

    1. Front Matter
      Pages 5-5
    2. Pages 59-77
  3. Applications

    1. Front Matter
      Pages 79-79
  4. Back Matter
    Pages 175-182

About this book

Introduction

Wave propagation in infinite or unbounded domains is often encountered in scientific and engineering applications. Theoretical fundamentals and applications of a new numerical model which has the ability to simulate such wave propagation are presented. Attention is focused on linear waves in ideal fluids and elastic domains. Wave propagation based on scalar and vector wave equations, as well as fluid-structure interaction and soil-structure interaction is numerical simulated. The model is based on a coupled finite element/scaled boundary finite element method (FEM/SBFEM). While the FEM maps the near-field, under the immense variety of non-reflecting boundary conditions the SBFEM, developed by Wolf and Song, was chosen. It has some unique features: reduction of the spatial dimension by one without requiring a fundamental solution, no discretisation of free and fixed boundaries and interfaces between different materials, and influence of the infinite far-field could be stored in the form of matrices for further simulations (e.g., different load cases). Benchmark examples show the efficiency and accuracy of the proposed algorithm. Finally, covered fields of applications are: acoustics, dynamic behaviour of offshore wind turbines, and seismic analysis of buildings including soil-structure interaction.

Keywords

Turbine algorithm algorithms model simulation wave equation

Authors and affiliations

  • Lutz Lehmann
    • 1
  1. 1.Institut für Angewandte MechanikTechnische Universität BraunschweigSpielmannstraße 11Germany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-71109-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-71108-7
  • Online ISBN 978-3-540-71109-4
  • Series Print ISSN 1613-7736
  • About this book