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Calculation of vibration transmission over bedrock using a waveguide finite element model
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.ORCID iD: 0000-0002-9031-3662
2008 (English)In: International journal for numerical and analytical methods in geomechanics (Print), ISSN 0363-9061, E-ISSN 1096-9853, Vol. 32, no 6, 701-719 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
John Wiley & Sons, 2008. Vol. 32, no 6, 701-719 p.
Keyword [en]
wave propagation, layered media, spectral methods, linear elastic, material, spectral finite elements, thin-layer method, propagation, formulation, dispersion, reduction, stratum, matrix, wib
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-17514DOI: 10.1002/nag.643ISI: 000255603200006Scopus ID: 2-s2.0-42549165141OAI: oai:DiVA.org:kth-17514DiVA: diva2:335558
Note

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2014-08-29Bibliographically approved

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Finnveden, Svante

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