Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency
This paper presents an isogeometric configuration design optimization of curved beam structures for maximizing fundamental eigenfrequency. A shear-deformable beam model is used in the response analyses of structural vibrations within an isogeometric framework using the NURBS basis functions. An anal...
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Veröffentlicht in: | Structural and multidisciplinary optimization 2021-02, Vol.63 (2), p.529-549 |
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creator | Choi, Myung-Jin Kim, Jae-Hyun Koo, Bonyong Cho, Seonho |
description | This paper presents an isogeometric configuration design optimization of curved beam structures for maximizing fundamental eigenfrequency. A shear-deformable beam model is used in the response analyses of structural vibrations within an isogeometric framework using the NURBS basis functions. An analytical design sensitivity of repeated eigenvalues is used. A special attention is paid to the computation of design velocity field and optimal design of beam structures constrained on a curved surface, where both designs of the embedded beams and the curved surface are simultaneously varied during the optimal design process. The developed design optimization method is demonstrated through several illustrative examples. |
doi_str_mv | 10.1007/s00158-020-02803-0 |
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The developed design optimization method is demonstrated through several illustrative examples.</description><subject>Basis functions</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Configuration management</subject><subject>Curved beams</subject><subject>Design optimization</subject><subject>Eigenvalues</subject><subject>Engineering</subject><subject>Engineering Design</subject><subject>Formability</subject><subject>Research Paper</subject><subject>Resonant frequencies</subject><subject>Theoretical and Applied Mechanics</subject><subject>Velocity distribution</subject><issn>1615-147X</issn><issn>1615-1488</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kE1LxDAQhoMouH78AU8Bz9VJ07TpURY_Fha87MFbiPmoWbbNmqTiij_erBW9eRhmMrzvzORB6ILAFQForiMAYbyAEnJwoAUcoBmpCStIxfnhb908HaOTGNcAwKFqZ-hzEX1nfG9ScAorP1jXjUEm5wesTXTdgP02ud59TD1vcXoJxhTa9WaIuSU3WI3hzWj8bGSPYwqjSmMwEVsfcC_fXZ8ldhy0zI60r4N5Hc2gdmfoyMpNNOc_-RSt7m5X84di-Xi_mN8sC0VJmwrJOUhdgaINa6ylkgGjjFUVtLZuTJ0_zHRb0taCrnkNDc3Ptja01Cpzoafochq7DT4vjkms_Rjy4VGUmQ5QUhKaVeWkUsHHGIwV25BPDztBQOwhiwmyyJDFN2QB2UQnU8zioTPhb_Q_ri_oM4Gi</recordid><startdate>20210201</startdate><enddate>20210201</enddate><creator>Choi, Myung-Jin</creator><creator>Kim, Jae-Hyun</creator><creator>Koo, Bonyong</creator><creator>Cho, Seonho</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-5797-4530</orcidid></search><sort><creationdate>20210201</creationdate><title>Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency</title><author>Choi, Myung-Jin ; 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subjects | Basis functions Computational Mathematics and Numerical Analysis Configuration management Curved beams Design optimization Eigenvalues Engineering Engineering Design Formability Research Paper Resonant frequencies Theoretical and Applied Mechanics Velocity distribution |
title | Isogeometric configuration design optimization of three-dimensional curved beam structures for maximal fundamental frequency |
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