Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers

In many tasks of railway vibration, the structure, that is, the track, a bridge, and a nearby building and its floors, is coupled to the soil, and the soil–structure interaction and the damping by the soil should be included in the analysis to obtain realistic resonance frequencies and amplitudes. T...

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Main Author: Lutz Auersch
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Vibration
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Online Access:https://www.mdpi.com/2571-631X/8/1/5
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author Lutz Auersch
author_facet Lutz Auersch
author_sort Lutz Auersch
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description In many tasks of railway vibration, the structure, that is, the track, a bridge, and a nearby building and its floors, is coupled to the soil, and the soil–structure interaction and the damping by the soil should be included in the analysis to obtain realistic resonance frequencies and amplitudes. The stiffness and damping of a variety of foundations is calculated by an indirect boundary element method which uses fundamental solutions, is meshless, uses collocation points on the boundary, and solves the singularity by an appropriate averaging over a part of the surface. The boundary element method is coupled with the finite element method in the case of flexible foundations such as beams, plates, piles, and railway tracks. The results, the frequency-dependent stiffness and damping of single and groups of rigid foundations on homogeneous and layered soil and the amplitude and phase of the dynamic compliance of flexible foundations, show that the simple constant stiffness and damping values of a rigid footing on homogeneous soil are often misleading and do not represent well the reality. The damping may be higher in some special cases, but, in most cases, the damping is lower than expected from the simple theory. Some applications and measurements demonstrate the importance of the correct damping by the soil.
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spelling doaj-art-0852d35f52d34d0bbbc99bd316a5dc7a2025-08-20T03:43:51ZengMDPI AGVibration2571-631X2025-01-0181510.3390/vibration8010005Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and LayersLutz Auersch0Federal Institute of Material Research and Testing, 12200 Berlin, GermanyIn many tasks of railway vibration, the structure, that is, the track, a bridge, and a nearby building and its floors, is coupled to the soil, and the soil–structure interaction and the damping by the soil should be included in the analysis to obtain realistic resonance frequencies and amplitudes. The stiffness and damping of a variety of foundations is calculated by an indirect boundary element method which uses fundamental solutions, is meshless, uses collocation points on the boundary, and solves the singularity by an appropriate averaging over a part of the surface. The boundary element method is coupled with the finite element method in the case of flexible foundations such as beams, plates, piles, and railway tracks. The results, the frequency-dependent stiffness and damping of single and groups of rigid foundations on homogeneous and layered soil and the amplitude and phase of the dynamic compliance of flexible foundations, show that the simple constant stiffness and damping values of a rigid footing on homogeneous soil are often misleading and do not represent well the reality. The damping may be higher in some special cases, but, in most cases, the damping is lower than expected from the simple theory. Some applications and measurements demonstrate the importance of the correct damping by the soil.https://www.mdpi.com/2571-631X/8/1/5soil–structure interactionsoil dynamicsradiation damping of the soilrigid foundationflexible foundationfoundation groups
spellingShingle Lutz Auersch
Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
Vibration
soil–structure interaction
soil dynamics
radiation damping of the soil
rigid foundation
flexible foundation
foundation groups
title Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
title_full Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
title_fullStr Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
title_full_unstemmed Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
title_short Soil–Structure Interaction and Damping by the Soil—Effects of Foundation Groups, Foundation Flexibility, Soil Stiffness and Layers
title_sort soil structure interaction and damping by the soil effects of foundation groups foundation flexibility soil stiffness and layers
topic soil–structure interaction
soil dynamics
radiation damping of the soil
rigid foundation
flexible foundation
foundation groups
url https://www.mdpi.com/2571-631X/8/1/5
work_keys_str_mv AT lutzauersch soilstructureinteractionanddampingbythesoileffectsoffoundationgroupsfoundationflexibilitysoilstiffnessandlayers