Localising the smallest stiffness and its direction of a homogeneous structure by spectral and optimisation approaches
•Novel relation between the modal and the static stiffness of a structure.•Identifiability of smallest structural stiffness based on modal properties.•Alternative method for localising the smallest structural stiffness based on structural compliance maximisation. Structural stiffness plays an import...
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| Veröffentlicht in: | Engineering structures 2021-04, Vol.232, p.111842, Article 111842 |
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| container_title | Engineering structures |
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| creator | Henyš, Petr Sutula, Danas Kopal, Jiří Kuchař, Michal Čapek, Lukáš |
| description | •Novel relation between the modal and the static stiffness of a structure.•Identifiability of smallest structural stiffness based on modal properties.•Alternative method for localising the smallest structural stiffness based on structural compliance maximisation.
Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time–consuming to procure. A novel relation between modal and static stiffness based on modal decomposition is introduced in this study. This relation allows analysing the smallest structural stiffness and its direction. Further, it is shown that the smallest stiffness can be found using an optimisation algorithm that is based on the maximisation of structural compliance. Both approaches are compared on several computational examples leading to similar results in terms of smallest stiffness and its direction. The proposed approaches serve as quantitative/qualitative tools for the analyses of structural stiffness, particularly in structural health monitoring. |
| doi_str_mv | 10.1016/j.engstruct.2020.111842 |
| format | Article |
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Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time–consuming to procure. A novel relation between modal and static stiffness based on modal decomposition is introduced in this study. This relation allows analysing the smallest structural stiffness and its direction. Further, it is shown that the smallest stiffness can be found using an optimisation algorithm that is based on the maximisation of structural compliance. Both approaches are compared on several computational examples leading to similar results in terms of smallest stiffness and its direction. The proposed approaches serve as quantitative/qualitative tools for the analyses of structural stiffness, particularly in structural health monitoring.</description><identifier>ISSN: 0141-0296</identifier><identifier>EISSN: 1873-7323</identifier><identifier>DOI: 10.1016/j.engstruct.2020.111842</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Algorithms ; Compliance maximisation ; Computer applications ; Design engineering ; Finite element method ; Homogeneous structure ; Mathematical models ; Modal analysis ; Optimization ; Qualitative analysis ; Reduced-order model ; Stiffness ; Structural health monitoring ; Structure design</subject><ispartof>Engineering structures, 2021-04, Vol.232, p.111842, Article 111842</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 1, 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c392t-5afced304b74a0a3251de68c128ea2153485e75f5c1200e29544cfc04a7fd2393</citedby><cites>FETCH-LOGICAL-c392t-5afced304b74a0a3251de68c128ea2153485e75f5c1200e29544cfc04a7fd2393</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.engstruct.2020.111842$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Henyš, Petr</creatorcontrib><creatorcontrib>Sutula, Danas</creatorcontrib><creatorcontrib>Kopal, Jiří</creatorcontrib><creatorcontrib>Kuchař, Michal</creatorcontrib><creatorcontrib>Čapek, Lukáš</creatorcontrib><title>Localising the smallest stiffness and its direction of a homogeneous structure by spectral and optimisation approaches</title><title>Engineering structures</title><description>•Novel relation between the modal and the static stiffness of a structure.•Identifiability of smallest structural stiffness based on modal properties.•Alternative method for localising the smallest structural stiffness based on structural compliance maximisation.
Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time–consuming to procure. A novel relation between modal and static stiffness based on modal decomposition is introduced in this study. This relation allows analysing the smallest structural stiffness and its direction. Further, it is shown that the smallest stiffness can be found using an optimisation algorithm that is based on the maximisation of structural compliance. Both approaches are compared on several computational examples leading to similar results in terms of smallest stiffness and its direction. The proposed approaches serve as quantitative/qualitative tools for the analyses of structural stiffness, particularly in structural health monitoring.</description><subject>Algorithms</subject><subject>Compliance maximisation</subject><subject>Computer applications</subject><subject>Design engineering</subject><subject>Finite element method</subject><subject>Homogeneous structure</subject><subject>Mathematical models</subject><subject>Modal analysis</subject><subject>Optimization</subject><subject>Qualitative analysis</subject><subject>Reduced-order model</subject><subject>Stiffness</subject><subject>Structural health monitoring</subject><subject>Structure design</subject><issn>0141-0296</issn><issn>1873-7323</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqFkM1LAzEQxYMoWKt_gwHPW_PZ3R5F_IKCFz2HmJ20KdvNmskK_vemXfHqaWB4b968HyHXnC0448vb3QL6DeY0urwQTJQt540SJ2TGm1pWtRTylMwYV7xiYrU8JxeIO8aYaBo2I1_r6GwXMPQbmrdAcW-7DjBTzMH7HhCp7VsaMtI2JHA5xJ5GTy3dxn3cQA9xRDrFjwnoxzfFociS7Y7GOOSwD2iPPjsMKVq3BbwkZ952CFe_c07eHx_e7p-r9evTy_3dunJyJXKlrXfQSqY-amWZlULzFpaN46IBK7iWqtFQa6_LhjEQK62U844pW_tWyJWck5vpbgn-HEsvs4tj6kukEZppxZXWB1U9qVyKiAm8GVLY2_RtODMHyGZn_iCbA2QzQS7Ou8kJpcRXgGTQBejL00dYpo3h3xs_LiKMeQ</recordid><startdate>20210401</startdate><enddate>20210401</enddate><creator>Henyš, Petr</creator><creator>Sutula, Danas</creator><creator>Kopal, Jiří</creator><creator>Kuchař, Michal</creator><creator>Čapek, Lukáš</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7ST</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>SOI</scope></search><sort><creationdate>20210401</creationdate><title>Localising the smallest stiffness and its direction of a homogeneous structure by spectral and optimisation approaches</title><author>Henyš, Petr ; Sutula, Danas ; Kopal, Jiří ; Kuchař, Michal ; Čapek, Lukáš</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-5afced304b74a0a3251de68c128ea2153485e75f5c1200e29544cfc04a7fd2393</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Compliance maximisation</topic><topic>Computer applications</topic><topic>Design engineering</topic><topic>Finite element method</topic><topic>Homogeneous structure</topic><topic>Mathematical models</topic><topic>Modal analysis</topic><topic>Optimization</topic><topic>Qualitative analysis</topic><topic>Reduced-order model</topic><topic>Stiffness</topic><topic>Structural health monitoring</topic><topic>Structure design</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Henyš, Petr</creatorcontrib><creatorcontrib>Sutula, Danas</creatorcontrib><creatorcontrib>Kopal, Jiří</creatorcontrib><creatorcontrib>Kuchař, Michal</creatorcontrib><creatorcontrib>Čapek, Lukáš</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environment Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Environment Abstracts</collection><jtitle>Engineering structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Henyš, Petr</au><au>Sutula, Danas</au><au>Kopal, Jiří</au><au>Kuchař, Michal</au><au>Čapek, Lukáš</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Localising the smallest stiffness and its direction of a homogeneous structure by spectral and optimisation approaches</atitle><jtitle>Engineering structures</jtitle><date>2021-04-01</date><risdate>2021</risdate><volume>232</volume><spage>111842</spage><pages>111842-</pages><artnum>111842</artnum><issn>0141-0296</issn><eissn>1873-7323</eissn><abstract>•Novel relation between the modal and the static stiffness of a structure.•Identifiability of smallest structural stiffness based on modal properties.•Alternative method for localising the smallest structural stiffness based on structural compliance maximisation.
Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time–consuming to procure. A novel relation between modal and static stiffness based on modal decomposition is introduced in this study. This relation allows analysing the smallest structural stiffness and its direction. Further, it is shown that the smallest stiffness can be found using an optimisation algorithm that is based on the maximisation of structural compliance. Both approaches are compared on several computational examples leading to similar results in terms of smallest stiffness and its direction. The proposed approaches serve as quantitative/qualitative tools for the analyses of structural stiffness, particularly in structural health monitoring.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.engstruct.2020.111842</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Engineering structures, 2021-04, Vol.232, p.111842, Article 111842 |
| issn | 0141-0296 1873-7323 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Algorithms Compliance maximisation Computer applications Design engineering Finite element method Homogeneous structure Mathematical models Modal analysis Optimization Qualitative analysis Reduced-order model Stiffness Structural health monitoring Structure design |
| title | Localising the smallest stiffness and its direction of a homogeneous structure by spectral and optimisation approaches |
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