An analytical solution for the rotational component of the Foundation Input Motion induced by a pile group
This work investigates the effect of the rotational component of input motion induced by the kinematic interaction between a pile group and the surrounding soil on the seismic behaviour of a structure. To this end, a simple analytical model is developed by deriving the pile group behaviour from the...
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Veröffentlicht in: | Soil dynamics and earthquake engineering (1984) 2017-06, Vol.97, p.424-438 |
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creator | Di Laora, Raffaele Grossi, Yado de Sanctis, Luca Viggiani, Giulia M.B. |
description | This work investigates the effect of the rotational component of input motion induced by the kinematic interaction between a pile group and the surrounding soil on the seismic behaviour of a structure. To this end, a simple analytical model is developed by deriving the pile group behaviour from the seismic response of a single pile, taking into account equilibrium and compatibility of displacements at piles’ heads. Closed-form solutions in the frequency domain are provided for both the translational and the rotational motion of a group of unevenly distributed identical piles, rigidly connected at the top and displaced by the surrounding soil, which is subjected to purely translational oscillations. The proposed solutions, applicable to any subsoil conditions, highlight that pile group layout is the crucial parameter governing the magnitude of the foundation rotation. Further, new transfer functions from the soil surface in free field conditions to the top of a SDOF system are introduced, which take into account the translational and/or rotational kinematic effects. An application of the above concepts to a case study is presented, highlighting that the rotational component of input motion may be important for tall structures on small pile groups.
•The Foundation Input Motion caused by pile-soil kinematic interaction under seismic shaking is explored.•A novel solution for both displacement and rotation of the pile group is derived.•The simplified proposed method compares well with rigorous numerical analyses.•Group width and pile axial stiffness strongly affect the rotational component. |
doi_str_mv | 10.1016/j.soildyn.2017.03.027 |
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•The Foundation Input Motion caused by pile-soil kinematic interaction under seismic shaking is explored.•A novel solution for both displacement and rotation of the pile group is derived.•The simplified proposed method compares well with rigorous numerical analyses.•Group width and pile axial stiffness strongly affect the rotational component.</description><identifier>ISSN: 0267-7261</identifier><identifier>EISSN: 1879-341X</identifier><identifier>DOI: 10.1016/j.soildyn.2017.03.027</identifier><language>eng</language><publisher>Barking: Elsevier Ltd</publisher><subject>Case studies ; Group dynamics ; Kinematic interaction ; Kinematics ; Mathematical models ; Oscillations ; Pile groups ; Piled foundations ; Rotational component ; Seismic activity ; Seismic engineering ; Seismic response ; Soil sciences ; Soils ; Studies ; Subsoils ; Transfer functions ; Translation</subject><ispartof>Soil dynamics and earthquake engineering (1984), 2017-06, Vol.97, p.424-438</ispartof><rights>2017 Elsevier Ltd</rights><rights>Copyright Elsevier BV Jun 2017</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a473t-c5b052e223fe8819b733b645b1f6299ce1019996fd27f8f3be7e9680af9583043</citedby><cites>FETCH-LOGICAL-a473t-c5b052e223fe8819b733b645b1f6299ce1019996fd27f8f3be7e9680af9583043</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.soildyn.2017.03.027$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Di Laora, Raffaele</creatorcontrib><creatorcontrib>Grossi, Yado</creatorcontrib><creatorcontrib>de Sanctis, Luca</creatorcontrib><creatorcontrib>Viggiani, Giulia M.B.</creatorcontrib><title>An analytical solution for the rotational component of the Foundation Input Motion induced by a pile group</title><title>Soil dynamics and earthquake engineering (1984)</title><description>This work investigates the effect of the rotational component of input motion induced by the kinematic interaction between a pile group and the surrounding soil on the seismic behaviour of a structure. To this end, a simple analytical model is developed by deriving the pile group behaviour from the seismic response of a single pile, taking into account equilibrium and compatibility of displacements at piles’ heads. Closed-form solutions in the frequency domain are provided for both the translational and the rotational motion of a group of unevenly distributed identical piles, rigidly connected at the top and displaced by the surrounding soil, which is subjected to purely translational oscillations. The proposed solutions, applicable to any subsoil conditions, highlight that pile group layout is the crucial parameter governing the magnitude of the foundation rotation. Further, new transfer functions from the soil surface in free field conditions to the top of a SDOF system are introduced, which take into account the translational and/or rotational kinematic effects. An application of the above concepts to a case study is presented, highlighting that the rotational component of input motion may be important for tall structures on small pile groups.
•The Foundation Input Motion caused by pile-soil kinematic interaction under seismic shaking is explored.•A novel solution for both displacement and rotation of the pile group is derived.•The simplified proposed method compares well with rigorous numerical analyses.•Group width and pile axial stiffness strongly affect the rotational component.</description><subject>Case studies</subject><subject>Group dynamics</subject><subject>Kinematic interaction</subject><subject>Kinematics</subject><subject>Mathematical models</subject><subject>Oscillations</subject><subject>Pile groups</subject><subject>Piled foundations</subject><subject>Rotational component</subject><subject>Seismic activity</subject><subject>Seismic engineering</subject><subject>Seismic response</subject><subject>Soil sciences</subject><subject>Soils</subject><subject>Studies</subject><subject>Subsoils</subject><subject>Transfer functions</subject><subject>Translation</subject><issn>0267-7261</issn><issn>1879-341X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNqFkF9LwzAUxYMoOKcfQQj43Jo_a9I8yRhOBxNfFHwLaZtoSpfUJBX27c0233263HvOuXB-ANxiVGKE2X1fRm-Hbu9KgjAvES0R4WdghmsuCrrAH-dghgjjBScMX4KrGHuUjbhmM9AvHVRODftkWzXA6IcpWe-g8QGmLw2DT-pwyFrrd6N32iXozVFb-8l1RxVu3Dgl-OKPi3Xd1OoONnuo4GgHDT-Dn8ZrcGHUEPXN35yD9_Xj2-q52L4-bVbLbaEWnKairRpUEU0INbqusWg4pQ1bVA02jAjR6txZCMFMR7ipDW0014LVSBlR1RQt6Bzcnf6OwX9POibZ-ynkBlFiUbFMglYiu6qTqw0-xqCNHIPdqbCXGMkDVtnLP6zygFUiKjPWnHs45XSu8GN1kLG12uW-Nug2yc7bfz78AtOThHI</recordid><startdate>201706</startdate><enddate>201706</enddate><creator>Di Laora, Raffaele</creator><creator>Grossi, Yado</creator><creator>de Sanctis, Luca</creator><creator>Viggiani, Giulia M.B.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>7TG</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>KL.</scope><scope>KR7</scope><scope>SOI</scope></search><sort><creationdate>201706</creationdate><title>An analytical solution for the rotational component of the Foundation Input Motion induced by a pile group</title><author>Di Laora, Raffaele ; Grossi, Yado ; de Sanctis, Luca ; Viggiani, Giulia M.B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a473t-c5b052e223fe8819b733b645b1f6299ce1019996fd27f8f3be7e9680af9583043</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Case studies</topic><topic>Group dynamics</topic><topic>Kinematic interaction</topic><topic>Kinematics</topic><topic>Mathematical models</topic><topic>Oscillations</topic><topic>Pile groups</topic><topic>Piled foundations</topic><topic>Rotational component</topic><topic>Seismic activity</topic><topic>Seismic engineering</topic><topic>Seismic response</topic><topic>Soil sciences</topic><topic>Soils</topic><topic>Studies</topic><topic>Subsoils</topic><topic>Transfer functions</topic><topic>Translation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Di Laora, Raffaele</creatorcontrib><creatorcontrib>Grossi, Yado</creatorcontrib><creatorcontrib>de Sanctis, Luca</creatorcontrib><creatorcontrib>Viggiani, Giulia M.B.</creatorcontrib><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Civil Engineering Abstracts</collection><collection>Environment Abstracts</collection><jtitle>Soil dynamics and earthquake engineering (1984)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Di Laora, Raffaele</au><au>Grossi, Yado</au><au>de Sanctis, Luca</au><au>Viggiani, Giulia M.B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An analytical solution for the rotational component of the Foundation Input Motion induced by a pile group</atitle><jtitle>Soil dynamics and earthquake engineering (1984)</jtitle><date>2017-06</date><risdate>2017</risdate><volume>97</volume><spage>424</spage><epage>438</epage><pages>424-438</pages><issn>0267-7261</issn><eissn>1879-341X</eissn><abstract>This work investigates the effect of the rotational component of input motion induced by the kinematic interaction between a pile group and the surrounding soil on the seismic behaviour of a structure. To this end, a simple analytical model is developed by deriving the pile group behaviour from the seismic response of a single pile, taking into account equilibrium and compatibility of displacements at piles’ heads. Closed-form solutions in the frequency domain are provided for both the translational and the rotational motion of a group of unevenly distributed identical piles, rigidly connected at the top and displaced by the surrounding soil, which is subjected to purely translational oscillations. The proposed solutions, applicable to any subsoil conditions, highlight that pile group layout is the crucial parameter governing the magnitude of the foundation rotation. Further, new transfer functions from the soil surface in free field conditions to the top of a SDOF system are introduced, which take into account the translational and/or rotational kinematic effects. An application of the above concepts to a case study is presented, highlighting that the rotational component of input motion may be important for tall structures on small pile groups.
•The Foundation Input Motion caused by pile-soil kinematic interaction under seismic shaking is explored.•A novel solution for both displacement and rotation of the pile group is derived.•The simplified proposed method compares well with rigorous numerical analyses.•Group width and pile axial stiffness strongly affect the rotational component.</abstract><cop>Barking</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.soildyn.2017.03.027</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Case studies Group dynamics Kinematic interaction Kinematics Mathematical models Oscillations Pile groups Piled foundations Rotational component Seismic activity Seismic engineering Seismic response Soil sciences Soils Studies Subsoils Transfer functions Translation |
title | An analytical solution for the rotational component of the Foundation Input Motion induced by a pile group |
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