An enhanced Craig-Bampton method
SummaryIn this paper, we propose a new component mode synthesis method by enhancing the Craig–Bampton (CB) method. To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanc...
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Veröffentlicht in: | International journal for numerical methods in engineering 2015-07, Vol.103 (2), p.79-93 |
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description | SummaryIn this paper, we propose a new component mode synthesis method by enhancing the Craig–Bampton (CB) method. To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O'Callahan's approach in Guyan reduction. Using the newly defined transformation matrix, original finite element models can be more accurately approximated by reduced models. For this reason, the accuracy of the reduced models is significantly improved with a low additional computational cost. We here present the formulation details of the enhanced CB method and demonstrate its performance through several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd. |
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To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O'Callahan's approach in Guyan reduction. Using the newly defined transformation matrix, original finite element models can be more accurately approximated by reduced models. For this reason, the accuracy of the reduced models is significantly improved with a low additional computational cost. We here present the formulation details of the enhanced CB method and demonstrate its performance through several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.4880</identifier><identifier>CODEN: IJNMBH</identifier><language>eng</language><publisher>Bognor Regis: Blackwell Publishing Ltd</publisher><subject>Approximation ; Component mode synthesis ; Computational efficiency ; Craig-Bampton method ; dynamic substructuring ; Eigenvalues ; Finite element method ; Mathematical analysis ; Mathematical models ; model reduction ; structural dynamics ; Transformations</subject><ispartof>International journal for numerical methods in engineering, 2015-07, Vol.103 (2), p.79-93</ispartof><rights>Copyright © 2015 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2015 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3640-bd4df1ba3669db88a8a2133d74f106d372b442ce84ebaa74fd14ee520efabab53</citedby><cites>FETCH-LOGICAL-c3640-bd4df1ba3669db88a8a2133d74f106d372b442ce84ebaa74fd14ee520efabab53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.4880$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.4880$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Kim, Jin-Gyun</creatorcontrib><creatorcontrib>Lee, Phill-Seung</creatorcontrib><title>An enhanced Craig-Bampton method</title><title>International journal for numerical methods in engineering</title><addtitle>Int. J. Numer. Meth. Engng</addtitle><description>SummaryIn this paper, we propose a new component mode synthesis method by enhancing the Craig–Bampton (CB) method. To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O'Callahan's approach in Guyan reduction. Using the newly defined transformation matrix, original finite element models can be more accurately approximated by reduced models. For this reason, the accuracy of the reduced models is significantly improved with a low additional computational cost. We here present the formulation details of the enhanced CB method and demonstrate its performance through several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.</description><subject>Approximation</subject><subject>Component mode synthesis</subject><subject>Computational efficiency</subject><subject>Craig-Bampton method</subject><subject>dynamic substructuring</subject><subject>Eigenvalues</subject><subject>Finite element method</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>model reduction</subject><subject>structural dynamics</subject><subject>Transformations</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp1kMFKw0AQhhdRsFbBRwh48ZI6m90km2MNWoVae1D0tmyyE5uabOpuivbt3VJRFDwNzHz8zP8RckphRAGiC9PiiAsBe2RAIUtDiCDdJwN_ysI4E_SQHDm3BKA0BjYgwdgEaBbKlKiD3Kr6JbxU7arvTNBiv-j0MTmoVOPw5GsOyeP11UN-E07vJ7f5eBqWLOEQFprrihaKJUmmCyGUUBFlTKe8opBolkYF51GJgmOhlN9qyhHjCLBShSpiNiTnu9yV7d7W6HrZ1q7EplEGu7WTNPVtOGPAPXr2B112a2v8d5ImIhPMF2c_gaXtnLNYyZWtW2U3koLcqpJeldyq8mi4Q9_rBjf_cnJ2d_Wbr12PH9-8sq8ySVkay6fZRM7Ec07nCZNz9gnwXnbG</recordid><startdate>20150713</startdate><enddate>20150713</enddate><creator>Kim, Jin-Gyun</creator><creator>Lee, Phill-Seung</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20150713</creationdate><title>An enhanced Craig-Bampton method</title><author>Kim, Jin-Gyun ; Lee, Phill-Seung</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3640-bd4df1ba3669db88a8a2133d74f106d372b442ce84ebaa74fd14ee520efabab53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Approximation</topic><topic>Component mode synthesis</topic><topic>Computational efficiency</topic><topic>Craig-Bampton method</topic><topic>dynamic substructuring</topic><topic>Eigenvalues</topic><topic>Finite element method</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>model reduction</topic><topic>structural dynamics</topic><topic>Transformations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Jin-Gyun</creatorcontrib><creatorcontrib>Lee, Phill-Seung</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Jin-Gyun</au><au>Lee, Phill-Seung</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An enhanced Craig-Bampton method</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int. J. Numer. Meth. Engng</addtitle><date>2015-07-13</date><risdate>2015</risdate><volume>103</volume><issue>2</issue><spage>79</spage><epage>93</epage><pages>79-93</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><coden>IJNMBH</coden><abstract>SummaryIn this paper, we propose a new component mode synthesis method by enhancing the Craig–Bampton (CB) method. To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O'Callahan's approach in Guyan reduction. Using the newly defined transformation matrix, original finite element models can be more accurately approximated by reduced models. For this reason, the accuracy of the reduced models is significantly improved with a low additional computational cost. We here present the formulation details of the enhanced CB method and demonstrate its performance through several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.</abstract><cop>Bognor Regis</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/nme.4880</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Approximation Component mode synthesis Computational efficiency Craig-Bampton method dynamic substructuring Eigenvalues Finite element method Mathematical analysis Mathematical models model reduction structural dynamics Transformations |
title | An enhanced Craig-Bampton method |
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