Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable

A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural bo...

Full description

Saved in:
Bibliographic Details
Published in:AIAA journal 2006-07, Vol.44 (7), p.1468-1476
Main Authors: Holland, David B, Stanciulescu, Ilinca, Virgin, Lawrence N, Plaut, Raymond H
Format: Article
Language:English
Subjects:
Aerodynamics
Equilibrium
Exact sciences and technology
Finite element analysis
Fundamental areas of phenomenology (including applications)
Numerical analysis
Physics
Solid mechanics
Structural and continuum mechanics
Vibration
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3
cites cdi_FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3
container_end_page 1476
container_issue 7
container_start_page 1468
container_title AIAA journal
container_volume 44
creator Holland, David B
Stanciulescu, Ilinca
Virgin, Lawrence N
Plaut, Raymond H
description A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural booms could be designed to bend to supply tension loading in the sail membrane. The equilibrium and vibration properties are examined in three ways: numerical integration of the governing elastica equations using a shooting method, finite element analysis using ABAQUS, and experiments with a polycarbonate strip bent by a cable that is tightened with a turnbuckle. Equilibrium shapes and vibration mode shapes and frequencies are obtained for two different cable attachment points offset slightly from the beam's base in the axial and transverse directions. Frequencies obtained from a three-dimensional finite element analysis are also presented.
doi_str_mv 10.2514/1.18000
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_2514_1_18000</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>28818614</sourcerecordid><originalsourceid>FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3</originalsourceid><addsrcrecordid>eNqFkVtLAzEQhYMoWKv4Fxbxgg-ruTbJY1nrBQqCqPgWZjfZspLu1mQr-u-NtiAUwafJHD7OzMkgdEjwBRWEX5ILojDGW2hABGM5U-JlGw2SQnLCBd1FezG-po5KRQbo4bkpA_RN12bQ2mwKYeayK1d7V_2IXZ0V0PaNd-8uOJtNPMS-qSAruvkiuBiTVn5m43bm06uA0rt9tFODj-5gXYfo6XryWNzm0_ubu2I8zYFj2ecgBNVcWQ5glbQVkBGTlUhb6RSAWyWoLJnWpWWcsJEVrMTWls5qrrV0JRui05XvInRvSxd7M29i5byH1nXLaKjGWmIl_weVImpEeAKPNsDXbhnaFMLQ9JlUE40TdLaCqtDFGFxtFqGZQ_g0BJvvCxhifi6QyJO1HcQKfB2grZr4i0stJE2ph-h8xUED8DtybWMWtjb10vveffSJPf6T3Rj9BXH6nHQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>215329190</pqid></control><display><type>article</type><title>Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable</title><source>Alma/SFX Local Collection</source><creator>Holland, David B ; Stanciulescu, Ilinca ; Virgin, Lawrence N ; Plaut, Raymond H</creator><creatorcontrib>Holland, David B ; Stanciulescu, Ilinca ; Virgin, Lawrence N ; Plaut, Raymond H</creatorcontrib><description>A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural booms could be designed to bend to supply tension loading in the sail membrane. The equilibrium and vibration properties are examined in three ways: numerical integration of the governing elastica equations using a shooting method, finite element analysis using ABAQUS, and experiments with a polycarbonate strip bent by a cable that is tightened with a turnbuckle. Equilibrium shapes and vibration mode shapes and frequencies are obtained for two different cable attachment points offset slightly from the beam's base in the axial and transverse directions. Frequencies obtained from a three-dimensional finite element analysis are also presented.</description><identifier>ISSN: 0001-1452</identifier><identifier>EISSN: 1533-385X</identifier><identifier>DOI: 10.2514/1.18000</identifier><identifier>CODEN: AIAJAH</identifier><language>eng</language><publisher>Reston, VA: American Institute of Aeronautics and Astronautics</publisher><subject>Aerodynamics ; Equilibrium ; Exact sciences and technology ; Finite element analysis ; Fundamental areas of phenomenology (including applications) ; Numerical analysis ; Physics ; Solid mechanics ; Structural and continuum mechanics ; Vibration ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><ispartof>AIAA journal, 2006-07, Vol.44 (7), p.1468-1476</ispartof><rights>2006 INIST-CNRS</rights><rights>Copyright American Institute of Aeronautics and Astronautics Jul 2006</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3</citedby><cites>FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=17957216$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Holland, David B</creatorcontrib><creatorcontrib>Stanciulescu, Ilinca</creatorcontrib><creatorcontrib>Virgin, Lawrence N</creatorcontrib><creatorcontrib>Plaut, Raymond H</creatorcontrib><title>Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable</title><title>AIAA journal</title><description>A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural booms could be designed to bend to supply tension loading in the sail membrane. The equilibrium and vibration properties are examined in three ways: numerical integration of the governing elastica equations using a shooting method, finite element analysis using ABAQUS, and experiments with a polycarbonate strip bent by a cable that is tightened with a turnbuckle. Equilibrium shapes and vibration mode shapes and frequencies are obtained for two different cable attachment points offset slightly from the beam's base in the axial and transverse directions. Frequencies obtained from a three-dimensional finite element analysis are also presented.</description><subject>Aerodynamics</subject><subject>Equilibrium</subject><subject>Exact sciences and technology</subject><subject>Finite element analysis</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Numerical analysis</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0001-1452</issn><issn>1533-385X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNqFkVtLAzEQhYMoWKv4Fxbxgg-ruTbJY1nrBQqCqPgWZjfZspLu1mQr-u-NtiAUwafJHD7OzMkgdEjwBRWEX5ILojDGW2hABGM5U-JlGw2SQnLCBd1FezG-po5KRQbo4bkpA_RN12bQ2mwKYeayK1d7V_2IXZ0V0PaNd-8uOJtNPMS-qSAruvkiuBiTVn5m43bm06uA0rt9tFODj-5gXYfo6XryWNzm0_ubu2I8zYFj2ecgBNVcWQ5glbQVkBGTlUhb6RSAWyWoLJnWpWWcsJEVrMTWls5qrrV0JRui05XvInRvSxd7M29i5byH1nXLaKjGWmIl_weVImpEeAKPNsDXbhnaFMLQ9JlUE40TdLaCqtDFGFxtFqGZQ_g0BJvvCxhifi6QyJO1HcQKfB2grZr4i0stJE2ph-h8xUED8DtybWMWtjb10vveffSJPf6T3Rj9BXH6nHQ</recordid><startdate>20060701</startdate><enddate>20060701</enddate><creator>Holland, David B</creator><creator>Stanciulescu, Ilinca</creator><creator>Virgin, Lawrence N</creator><creator>Plaut, Raymond H</creator><general>American Institute of Aeronautics and Astronautics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>L7M</scope><scope>7SC</scope><scope>JQ2</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20060701</creationdate><title>Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable</title><author>Holland, David B ; Stanciulescu, Ilinca ; Virgin, Lawrence N ; Plaut, Raymond H</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Aerodynamics</topic><topic>Equilibrium</topic><topic>Exact sciences and technology</topic><topic>Finite element analysis</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Numerical analysis</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Holland, David B</creatorcontrib><creatorcontrib>Stanciulescu, Ilinca</creatorcontrib><creatorcontrib>Virgin, Lawrence N</creatorcontrib><creatorcontrib>Plaut, Raymond H</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>AIAA journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Holland, David B</au><au>Stanciulescu, Ilinca</au><au>Virgin, Lawrence N</au><au>Plaut, Raymond H</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable</atitle><jtitle>AIAA journal</jtitle><date>2006-07-01</date><risdate>2006</risdate><volume>44</volume><issue>7</issue><spage>1468</spage><epage>1476</epage><pages>1468-1476</pages><issn>0001-1452</issn><eissn>1533-385X</eissn><coden>AIAJAH</coden><abstract>A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural booms could be designed to bend to supply tension loading in the sail membrane. The equilibrium and vibration properties are examined in three ways: numerical integration of the governing elastica equations using a shooting method, finite element analysis using ABAQUS, and experiments with a polycarbonate strip bent by a cable that is tightened with a turnbuckle. Equilibrium shapes and vibration mode shapes and frequencies are obtained for two different cable attachment points offset slightly from the beam's base in the axial and transverse directions. Frequencies obtained from a three-dimensional finite element analysis are also presented.</abstract><cop>Reston, VA</cop><pub>American Institute of Aeronautics and Astronautics</pub><doi>10.2514/1.18000</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0001-1452
ispartof AIAA journal, 2006-07, Vol.44 (7), p.1468-1476
issn 0001-1452
1533-385X
language eng
recordid cdi_crossref_primary_10_2514_1_18000
source Alma/SFX Local Collection
subjects Aerodynamics
Equilibrium
Exact sciences and technology
Finite element analysis
Fundamental areas of phenomenology (including applications)
Numerical analysis
Physics
Solid mechanics
Structural and continuum mechanics
Vibration
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T18%3A34%3A20IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Vibration%20and%20Large%20Deflection%20of%20Cantilevered%20Elastica%20Compressed%20by%20Angled%20Cable&rft.jtitle=AIAA%20journal&rft.au=Holland,%20David%20B&rft.date=2006-07-01&rft.volume=44&rft.issue=7&rft.spage=1468&rft.epage=1476&rft.pages=1468-1476&rft.issn=0001-1452&rft.eissn=1533-385X&rft.coden=AIAJAH&rft_id=info:doi/10.2514/1.18000&rft_dat=%3Cproquest_cross%3E28818614%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a407t-a552948d4aad87dca1637c578191804d8527b399bd34136d53b0ddbed94997eb3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=215329190&rft_id=info:pmid/&rfr_iscdi=true