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A signal-processing approach to assess viscous-damper absorbing boundary conditions for dry and saturated soils in time domain dynamic problems

Lopez-Querol, Maria Susana; Arias-Trujillo, Juana; (2023) A signal-processing approach to assess viscous-damper absorbing boundary conditions for dry and saturated soils in time domain dynamic problems. Soil Dynamics and Earthquake Engineering , 166 , Article 107743. 10.1016/j.soildyn.2022.107743. Green open access

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Abstract

For numerical modelling of dynamic problems, absorbing boundary conditions (ABC) are necessary to attenuate reflected waves (’box effect’). Different approaches have been developed for this numerical issue, being the viscous damper (VD-ABC) widely employed. The VD-ABC is not frequency dependent but a total attenuation is never achieved, and hence a tentative enlargement of the computational domain is adopted. Relevant issues on VD-ABC are integrative assessment by a signal processing approach. One and two-phases (dry and saturated soil, respectively) time-domain responses have been considered besides spectral properties and energy content. P-wave velocity has been modified to consider the fluid bulk modulus. ABC affect differently to each variable, being the vertical displacement the less sensible. Higher frequencies present great discrepancies although their energy contribution to the overall signal is not relevant. The results with VD-ABC yield to a feasible reduction of the size of the computational domain, maintaining the required accuracy.

Type: Article
Title: A signal-processing approach to assess viscous-damper absorbing boundary conditions for dry and saturated soils in time domain dynamic problems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.soildyn.2022.107743
Publisher version: https://doi.org/10.1016/j.soildyn.2022.107743
Language: English
Additional information: © 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (CC-BY-NC-ND), where it is permissible to download and share the work provided it is properly cited. The work cannot be changed in any way or used commercially without permission from the journal. http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: Viscous dampers, Digital signal schemes, Directional spectrum, Paserval’s relation, Spectral coherence, Time-domain finite element models
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10162718
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