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Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element
•Macro finite element implementation and validation. Combination of FEM and DEM.•Cable and sliding mass under large displacement connected to beam finite elements.•Validation and application on cable based structures in dynamic conditions. This paper presents the formulation of a finite element encl...
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Published in: | International journal of solids and structures 2021-04, Vol.214-215, p.45-60 |
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container_start_page | 45 |
container_title | International journal of solids and structures |
container_volume | 214-215 |
creator | Bertrand, D. Grange, S. Bourrier, F. Langlade, T. |
description | •Macro finite element implementation and validation. Combination of FEM and DEM.•Cable and sliding mass under large displacement connected to beam finite elements.•Validation and application on cable based structures in dynamic conditions.
This paper presents the formulation of a finite element enclosing a specific internal mechanical equilibrium in order to model cable-based structures in dynamics conditions. It is based on the concept of macro finite element which allows embedding complex mechanical systems solved inside the element boundaries. A significant advantage is to allow an easy implementation within classical commercial codes. The proposed macro finite element describes a cable interacting with a sliding object assimilated to a punctual mass where friction can be accounted for. The dynamic response is described by a model developed within the framework of the DEM (Discrete Element Method) where geometrical nonlinearity (large displacements) is considered. A model combining the proposed macro finite element and a classical linear truss finite element is presented in order to validate its implementation. Finally, illustrative examples are presented. First, a cable yarning system is considered. The effect of friction and of the bending stiffness of the posts on the overall kinematics and force within the system are explored. Then the vulnerability of a cable-stayed bridge to earthquake is explored accounting for guy ropes failure. |
doi_str_mv | 10.1016/j.ijsolstr.2021.01.004 |
format | article |
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This paper presents the formulation of a finite element enclosing a specific internal mechanical equilibrium in order to model cable-based structures in dynamics conditions. It is based on the concept of macro finite element which allows embedding complex mechanical systems solved inside the element boundaries. A significant advantage is to allow an easy implementation within classical commercial codes. The proposed macro finite element describes a cable interacting with a sliding object assimilated to a punctual mass where friction can be accounted for. The dynamic response is described by a model developed within the framework of the DEM (Discrete Element Method) where geometrical nonlinearity (large displacements) is considered. A model combining the proposed macro finite element and a classical linear truss finite element is presented in order to validate its implementation. Finally, illustrative examples are presented. First, a cable yarning system is considered. The effect of friction and of the bending stiffness of the posts on the overall kinematics and force within the system are explored. Then the vulnerability of a cable-stayed bridge to earthquake is explored accounting for guy ropes failure.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2021.01.004</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Cable ; Cable-stayed bridges ; Civil Engineering ; Discrete element method ; Dynamic response ; Dynamical systems ; Dynamique, vibrations ; Engineering Sciences ; FEM and DEM ; Kinematics ; Macro finite element ; Mechanical systems ; Mechanics ; Nonlinear dynamics ; Nonlinearity ; Sliding ; Stiffness ; Structural dynamics ; Structural mechanics ; Structures</subject><ispartof>International journal of solids and structures, 2021-04, Vol.214-215, p.45-60</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 2021</rights><rights>Attribution</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c422t-b6912180c81fedfa97fce78eebf54dc578a6285a2166f0e1befe51270de5be8a3</citedby><cites>FETCH-LOGICAL-c422t-b6912180c81fedfa97fce78eebf54dc578a6285a2166f0e1befe51270de5be8a3</cites><orcidid>0000-0002-7766-0483 ; 0000-0002-4839-8893 ; 0000-0001-7012-818X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,786,790,891,27957,27958</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03222268$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Bertrand, D.</creatorcontrib><creatorcontrib>Grange, S.</creatorcontrib><creatorcontrib>Bourrier, F.</creatorcontrib><creatorcontrib>Langlade, T.</creatorcontrib><title>Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element</title><title>International journal of solids and structures</title><description>•Macro finite element implementation and validation. Combination of FEM and DEM.•Cable and sliding mass under large displacement connected to beam finite elements.•Validation and application on cable based structures in dynamic conditions.
This paper presents the formulation of a finite element enclosing a specific internal mechanical equilibrium in order to model cable-based structures in dynamics conditions. It is based on the concept of macro finite element which allows embedding complex mechanical systems solved inside the element boundaries. A significant advantage is to allow an easy implementation within classical commercial codes. The proposed macro finite element describes a cable interacting with a sliding object assimilated to a punctual mass where friction can be accounted for. The dynamic response is described by a model developed within the framework of the DEM (Discrete Element Method) where geometrical nonlinearity (large displacements) is considered. A model combining the proposed macro finite element and a classical linear truss finite element is presented in order to validate its implementation. Finally, illustrative examples are presented. First, a cable yarning system is considered. The effect of friction and of the bending stiffness of the posts on the overall kinematics and force within the system are explored. Then the vulnerability of a cable-stayed bridge to earthquake is explored accounting for guy ropes failure.</description><subject>Cable</subject><subject>Cable-stayed bridges</subject><subject>Civil Engineering</subject><subject>Discrete element method</subject><subject>Dynamic response</subject><subject>Dynamical systems</subject><subject>Dynamique, vibrations</subject><subject>Engineering Sciences</subject><subject>FEM and DEM</subject><subject>Kinematics</subject><subject>Macro finite element</subject><subject>Mechanical systems</subject><subject>Mechanics</subject><subject>Nonlinear dynamics</subject><subject>Nonlinearity</subject><subject>Sliding</subject><subject>Stiffness</subject><subject>Structural dynamics</subject><subject>Structural mechanics</subject><subject>Structures</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqFkUFv3CAQhVGVSt1s-xcqpJ568GZgbYxvjaKkqbRKLu0ZYTx0sWzYAk6V_vpibZtr0Eho0MeDeY-Qjwx2DJi4GnduTGFKOe44cLaDUlC_IRsm267irBYXZAPAoWqF3L8jlymNUIh9Bxvy5yH4yXnUkQ7PXs_O0OTmZdLZBU-DpUb3E9JeJxxoeWIxeYmYqPMZozbZ-Z_0t8tHmiY3rE3oRzQ50SWtXT4iNcEbPOVVbNYmBooTzujze_LW6inhh3_7lvy4u_1-c18dHr9-u7k-VKbmPFe96BhnEoxkFgeru9YabCVib5t6ME0rteCy0ZwJYQFZjxYbxlsYsOlR6v2WfD7rHvWkTtHNOj6roJ26vz6o9Qz2vCwhn1hhP53ZUwy_FkxZjWGJvnxP8QaE4HXTiUKJM1WmSSmifZFloNZM1Kj-Z6LWTBSUKo5vyZfzRSzzPjmMKhmHxZ7BxeKaGoJ7TeIvsmubiA</recordid><startdate>202104</startdate><enddate>202104</enddate><creator>Bertrand, D.</creator><creator>Grange, S.</creator><creator>Bourrier, F.</creator><creator>Langlade, T.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0002-7766-0483</orcidid><orcidid>https://orcid.org/0000-0002-4839-8893</orcidid><orcidid>https://orcid.org/0000-0001-7012-818X</orcidid></search><sort><creationdate>202104</creationdate><title>Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element</title><author>Bertrand, D. ; Grange, S. ; Bourrier, F. ; Langlade, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c422t-b6912180c81fedfa97fce78eebf54dc578a6285a2166f0e1befe51270de5be8a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Cable</topic><topic>Cable-stayed bridges</topic><topic>Civil Engineering</topic><topic>Discrete element method</topic><topic>Dynamic response</topic><topic>Dynamical systems</topic><topic>Dynamique, vibrations</topic><topic>Engineering Sciences</topic><topic>FEM and DEM</topic><topic>Kinematics</topic><topic>Macro finite element</topic><topic>Mechanical systems</topic><topic>Mechanics</topic><topic>Nonlinear dynamics</topic><topic>Nonlinearity</topic><topic>Sliding</topic><topic>Stiffness</topic><topic>Structural dynamics</topic><topic>Structural mechanics</topic><topic>Structures</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bertrand, D.</creatorcontrib><creatorcontrib>Grange, S.</creatorcontrib><creatorcontrib>Bourrier, F.</creatorcontrib><creatorcontrib>Langlade, T.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bertrand, D.</au><au>Grange, S.</au><au>Bourrier, F.</au><au>Langlade, T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element</atitle><jtitle>International journal of solids and structures</jtitle><date>2021-04</date><risdate>2021</risdate><volume>214-215</volume><spage>45</spage><epage>60</epage><pages>45-60</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><abstract>•Macro finite element implementation and validation. Combination of FEM and DEM.•Cable and sliding mass under large displacement connected to beam finite elements.•Validation and application on cable based structures in dynamic conditions.
This paper presents the formulation of a finite element enclosing a specific internal mechanical equilibrium in order to model cable-based structures in dynamics conditions. It is based on the concept of macro finite element which allows embedding complex mechanical systems solved inside the element boundaries. A significant advantage is to allow an easy implementation within classical commercial codes. The proposed macro finite element describes a cable interacting with a sliding object assimilated to a punctual mass where friction can be accounted for. The dynamic response is described by a model developed within the framework of the DEM (Discrete Element Method) where geometrical nonlinearity (large displacements) is considered. A model combining the proposed macro finite element and a classical linear truss finite element is presented in order to validate its implementation. Finally, illustrative examples are presented. First, a cable yarning system is considered. The effect of friction and of the bending stiffness of the posts on the overall kinematics and force within the system are explored. Then the vulnerability of a cable-stayed bridge to earthquake is explored accounting for guy ropes failure.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijsolstr.2021.01.004</doi><tpages>16</tpages><orcidid>https://orcid.org/0000-0002-7766-0483</orcidid><orcidid>https://orcid.org/0000-0002-4839-8893</orcidid><orcidid>https://orcid.org/0000-0001-7012-818X</orcidid><oa>free_for_read</oa></addata></record> |
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source | BACON - Elsevier - GLOBAL_SCIENCEDIRECT-OPENACCESS; ScienceDirect Freedom Collection |
subjects | Cable Cable-stayed bridges Civil Engineering Discrete element method Dynamic response Dynamical systems Dynamique, vibrations Engineering Sciences FEM and DEM Kinematics Macro finite element Mechanical systems Mechanics Nonlinear dynamics Nonlinearity Sliding Stiffness Structural dynamics Structural mechanics Structures |
title | Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element |
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