A dynamic condensation method using algebraic substructuring
Summary In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the...
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| Veröffentlicht in: | International journal for numerical methods in engineering 2017-03, Vol.109 (12), p.1701-1720 |
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| container_issue | 12 |
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| container_title | International journal for numerical methods in engineering |
| container_volume | 109 |
| creator | Boo, Seung‐Hwan Lee, Phill‐Seung |
| description | Summary
In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the physical domain, and substructures and interface boundary are defined in the algebraic perspective. The reduced model is then constructed using three additional procedures: substructural stiffness condensation, interface boundary reduction, and substructural inertial effect condensation. The formulation of the reduced model is simply expressed at a submatrix level without using a transformation matrix that induces huge computational cost. Through various numerical examples, the performance of the proposed method is demonstrated in terms of accuracy and computational cost. Copyright © 2016 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nme.5349 |
| format | Article |
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In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the physical domain, and substructures and interface boundary are defined in the algebraic perspective. The reduced model is then constructed using three additional procedures: substructural stiffness condensation, interface boundary reduction, and substructural inertial effect condensation. The formulation of the reduced model is simply expressed at a submatrix level without using a transformation matrix that induces huge computational cost. Through various numerical examples, the performance of the proposed method is demonstrated in terms of accuracy and computational cost. Copyright © 2016 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.5349</identifier><identifier>CODEN: IJNMBH</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Algebra ; algebraic substructuring ; Boundaries ; Computational efficiency ; Condensation ; Dynamical systems ; Dynamics ; Eigenvalue problem ; finite element method ; Mathematical models ; Reduced order models ; reduced‐order modeling ; structural dynamics</subject><ispartof>International journal for numerical methods in engineering, 2017-03, Vol.109 (12), p.1701-1720</ispartof><rights>Copyright © 2016 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2017 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3269-fccf54b0ebf2ed539ffa2b3df7685b0e9ea283b71a9b3588fcd011e3ebb231223</citedby><cites>FETCH-LOGICAL-c3269-fccf54b0ebf2ed539ffa2b3df7685b0e9ea283b71a9b3588fcd011e3ebb231223</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.5349$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.5349$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Boo, Seung‐Hwan</creatorcontrib><creatorcontrib>Lee, Phill‐Seung</creatorcontrib><title>A dynamic condensation method using algebraic substructuring</title><title>International journal for numerical methods in engineering</title><description>Summary
In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the physical domain, and substructures and interface boundary are defined in the algebraic perspective. The reduced model is then constructed using three additional procedures: substructural stiffness condensation, interface boundary reduction, and substructural inertial effect condensation. The formulation of the reduced model is simply expressed at a submatrix level without using a transformation matrix that induces huge computational cost. Through various numerical examples, the performance of the proposed method is demonstrated in terms of accuracy and computational cost. Copyright © 2016 John Wiley & Sons, Ltd.</description><subject>Algebra</subject><subject>algebraic substructuring</subject><subject>Boundaries</subject><subject>Computational efficiency</subject><subject>Condensation</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Eigenvalue problem</subject><subject>finite element method</subject><subject>Mathematical models</subject><subject>Reduced order models</subject><subject>reduced‐order modeling</subject><subject>structural dynamics</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp10F1LwzAUBuAgCs4p-BMK3njTmY-1TcCbMeYHTL3R65CkJ7OjTWfSIP33Zk4QBK8OnPPwcngRuiR4RjCmN66DWcHm4ghNCBZVjimujtEknUReCE5O0VkIW4wJKTCboNtFVo9OdY3JTO9qcEENTe-yDob3vs5iaNwmU-0GtFfJhKjD4KMZok-Hc3RiVRvg4mdO0dvd6nX5kK9f7h-Xi3VuGC1Fbo2xxVxj0JZCXTBhraKa1bYqeZHWAhTlTFdECc0Kzq2p03vAQGvKCKVsiq4PuTvff0QIg-yaYKBtlYM-Bkk4nxOKMWeJXv2h2z56l75Lqqy4YJiXv4HG9yF4sHLnm075URIs9zXKVKPc15hofqCfTQvjv04-P62-_Rf83HOU</recordid><startdate>20170323</startdate><enddate>20170323</enddate><creator>Boo, Seung‐Hwan</creator><creator>Lee, Phill‐Seung</creator><general>Wiley Subscription Services, Inc</general><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>20170323</creationdate><title>A dynamic condensation method using algebraic substructuring</title><author>Boo, Seung‐Hwan ; Lee, Phill‐Seung</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3269-fccf54b0ebf2ed539ffa2b3df7685b0e9ea283b71a9b3588fcd011e3ebb231223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Algebra</topic><topic>algebraic substructuring</topic><topic>Boundaries</topic><topic>Computational efficiency</topic><topic>Condensation</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Eigenvalue problem</topic><topic>finite element method</topic><topic>Mathematical models</topic><topic>Reduced order models</topic><topic>reduced‐order modeling</topic><topic>structural dynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Boo, Seung‐Hwan</creatorcontrib><creatorcontrib>Lee, Phill‐Seung</creatorcontrib><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>Boo, Seung‐Hwan</au><au>Lee, Phill‐Seung</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A dynamic condensation method using algebraic substructuring</atitle><jtitle>International journal for numerical methods in engineering</jtitle><date>2017-03-23</date><risdate>2017</risdate><volume>109</volume><issue>12</issue><spage>1701</spage><epage>1720</epage><pages>1701-1720</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><coden>IJNMBH</coden><abstract>Summary
In this paper, we develop a robust reduced‐order modeling method, named algebraic dynamic condensation, which is based on the improved reduced system method. Using algebraic substructuring, the global mass and stiffness matrices are divided into many small submatrices without considering the physical domain, and substructures and interface boundary are defined in the algebraic perspective. The reduced model is then constructed using three additional procedures: substructural stiffness condensation, interface boundary reduction, and substructural inertial effect condensation. The formulation of the reduced model is simply expressed at a submatrix level without using a transformation matrix that induces huge computational cost. Through various numerical examples, the performance of the proposed method is demonstrated in terms of accuracy and computational cost. Copyright © 2016 John Wiley & Sons, Ltd.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/nme.5349</doi><tpages>20</tpages></addata></record> |
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| issn | 0029-5981 1097-0207 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Algebra algebraic substructuring Boundaries Computational efficiency Condensation Dynamical systems Dynamics Eigenvalue problem finite element method Mathematical models Reduced order models reduced‐order modeling structural dynamics |
| title | A dynamic condensation method using algebraic substructuring |
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