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Calculation of vibration transmission over bedrock using a waveguide finite element model

Peplow, A. T. LU orcid and Finnveden, S. (2008) In International Journal for Numerical and Analytical Methods in Geomechanics 32(6). p.701-719
Abstract

A finite element method is developed for the study of elastic wave propagation in layered ground environments. The formulation is based on a spectral finite-element approach using a mixture of high-order element shape functions and wave solutions. The numerical method provides solutions to vibration transmission on and within layered elastic waveguides. Examples of its use include the theoretical analysis of transmission of vibrations in the vicinity of the surface of the ground. The mathematical model is two dimensional, and the interior of the ground is modelled as an elastic layer overlying a rigid foundation. An analysis of the natural modes of free vibration in a single layer and two layers is presented and compared with known... (More)

A finite element method is developed for the study of elastic wave propagation in layered ground environments. The formulation is based on a spectral finite-element approach using a mixture of high-order element shape functions and wave solutions. The numerical method provides solutions to vibration transmission on and within layered elastic waveguides. Examples of its use include the theoretical analysis of transmission of vibrations in the vicinity of the surface of the ground. The mathematical model is two dimensional, and the interior of the ground is modelled as an elastic layer overlying a rigid foundation. An analysis of the natural modes of free vibration in a single layer and two layers is presented and compared with known results. In addition the forced response of the layers, for which the surface is assumed to be subjected to a harmonic point force load is shown. These results also include an illustration of the attenuation of surface vibration due to 'wave impedance blocks' in the 'near field' of the source up to a frequency of 200 Hz for two soil types.

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author
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type
Contribution to journal
publication status
published
subject
keywords
Layered media, Linear elastic material, Spectral finite elements, Spectral methods, Wave propagation
in
International Journal for Numerical and Analytical Methods in Geomechanics
volume
32
issue
6
pages
19 pages
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:42549165141
ISSN
0363-9061
DOI
10.1002/nag.643
language
English
LU publication?
no
id
bcf56cde-22d4-4498-83e4-a1fd76520bdd
date added to LUP
2021-02-08 10:14:39
date last changed
2022-02-01 20:05:22
@article{bcf56cde-22d4-4498-83e4-a1fd76520bdd,
  abstract     = {{<p>A finite element method is developed for the study of elastic wave propagation in layered ground environments. The formulation is based on a spectral finite-element approach using a mixture of high-order element shape functions and wave solutions. The numerical method provides solutions to vibration transmission on and within layered elastic waveguides. Examples of its use include the theoretical analysis of transmission of vibrations in the vicinity of the surface of the ground. The mathematical model is two dimensional, and the interior of the ground is modelled as an elastic layer overlying a rigid foundation. An analysis of the natural modes of free vibration in a single layer and two layers is presented and compared with known results. In addition the forced response of the layers, for which the surface is assumed to be subjected to a harmonic point force load is shown. These results also include an illustration of the attenuation of surface vibration due to 'wave impedance blocks' in the 'near field' of the source up to a frequency of 200 Hz for two soil types.</p>}},
  author       = {{Peplow, A. T. and Finnveden, S.}},
  issn         = {{0363-9061}},
  keywords     = {{Layered media; Linear elastic material; Spectral finite elements; Spectral methods; Wave propagation}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{6}},
  pages        = {{701--719}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal for Numerical and Analytical Methods in Geomechanics}},
  title        = {{Calculation of vibration transmission over bedrock using a waveguide finite element model}},
  url          = {{http://dx.doi.org/10.1002/nag.643}},
  doi          = {{10.1002/nag.643}},
  volume       = {{32}},
  year         = {{2008}},
}