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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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 63; no. 2; pp. 529 - 549
Main Authors Choi, Myung-Jin, Kim, Jae-Hyun, Koo, Bonyong, Cho, Seonho
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021
Springer Nature B.V
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
Repeated eigenvalues
Isogeometric analysis
Beam structure
Design velocity field
Configuration design
Fundamental frequency
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Summary: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.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-020-02803-0