A coupled Integral Transform Method - Finite Element Method approach to model the Soil Structure Interaction of finite (3D) and length invariant (2.5D) systems.
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| Title: | A coupled Integral Transform Method - Finite Element Method approach to model the Soil Structure Interaction of finite (3D) and length invariant (2.5D) systems. |
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| Authors: | Freisinger, J.1 (AUTHOR) julian.freisinger@tum.de, Hackenberg, M.1 (AUTHOR), Müller, G.1 (AUTHOR) |
| Source: | Journal of Sound & Vibration. Sep2020, Vol. 482, pN.PAG-N.PAG. 1p. |
| Subjects: | Finite element method, Integral transforms, Soil structure, Domain decomposition methods, Analytical solutions, Elastic wave propagation |
| Abstract: | The prediction of vibrations in an unbounded medium and their interaction with structures on the ground surface or within the soil requires adequate approaches. Therefore the numerical methods addressing the dynamic Soil Structure Interaction (SSI) have to account for both, the infinite extent of the soil by satisfying the radiation condition for the wave propagation towards infinity and the detailed modeling of complex geometries and material properties of the considered structures. In this contribution an efficient domain decomposition method to model the three dimensional SSI is presented using a coupled Integral Transform Method (ITM) - Finite Element Method (FEM) approach. Based on the Lamé differential equation, fundamental solutions for systems with one boundary surface, as a halfspace or a fullspace with either spherical or cylindrical cavity, can be derived using the ITM. These are superposed to determine solutions of systems with two boundary surfaces: the halfspace with spherical or cylindrical cavity. The FEM is used to model the structure possibly within a limited volume of surrounding soil, which then is coupled to the ITM substructure on the cylindrical or spherical interaction surface. The practical applicability and high accuracy of the method is demonstrated by comparison with the analytical solution of fundamental systems and the investigation of typical SSI problems such as a mitigation measure in the transmission path and a rigid surface footing on a homogeneous soil. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Sound & Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 143723389 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A coupled Integral Transform Method - Finite Element Method approach to model the Soil Structure Interaction of finite (3D) and length invariant (2.5D) systems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Freisinger%2C+J%2E%22">Freisinger, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> julian.freisinger@tum.de</i><br /><searchLink fieldCode="AR" term="%22Hackenberg%2C+M%2E%22">Hackenberg, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Müller%2C+G%2E%22">Müller, G.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Sound+%26+Vibration%22">Journal of Sound & Vibration</searchLink>. Sep2020, Vol. 482, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+transforms%22">Integral transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Soil+structure%22">Soil structure</searchLink><br /><searchLink fieldCode="DE" term="%22Domain+decomposition+methods%22">Domain decomposition methods</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+wave+propagation%22">Elastic wave propagation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The prediction of vibrations in an unbounded medium and their interaction with structures on the ground surface or within the soil requires adequate approaches. Therefore the numerical methods addressing the dynamic Soil Structure Interaction (SSI) have to account for both, the infinite extent of the soil by satisfying the radiation condition for the wave propagation towards infinity and the detailed modeling of complex geometries and material properties of the considered structures. In this contribution an efficient domain decomposition method to model the three dimensional SSI is presented using a coupled Integral Transform Method (ITM) - Finite Element Method (FEM) approach. Based on the Lamé differential equation, fundamental solutions for systems with one boundary surface, as a halfspace or a fullspace with either spherical or cylindrical cavity, can be derived using the ITM. These are superposed to determine solutions of systems with two boundary surfaces: the halfspace with spherical or cylindrical cavity. The FEM is used to model the structure possibly within a limited volume of surrounding soil, which then is coupled to the ITM substructure on the cylindrical or spherical interaction surface. The practical applicability and high accuracy of the method is demonstrated by comparison with the analytical solution of fundamental systems and the investigation of typical SSI problems such as a mitigation measure in the transmission path and a rigid surface footing on a homogeneous soil. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Sound & Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jsv.2020.115443 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Integral transforms Type: general – SubjectFull: Soil structure Type: general – SubjectFull: Domain decomposition methods Type: general – SubjectFull: Analytical solutions Type: general – SubjectFull: Elastic wave propagation Type: general Titles: – TitleFull: A coupled Integral Transform Method - Finite Element Method approach to model the Soil Structure Interaction of finite (3D) and length invariant (2.5D) systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Freisinger, J. – PersonEntity: Name: NameFull: Hackenberg, M. – PersonEntity: Name: NameFull: Müller, G. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 09 Text: Sep2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 0022460X Numbering: – Type: volume Value: 482 Titles: – TitleFull: Journal of Sound & Vibration Type: main |
| ResultId | 1 |
