On the orthogonal similarity transformation (OST)-based sensitivity analysis method for robust topology optimization under loading uncertainty: a mathematical proof and its extension
The main purpose of this work is to provide a mathematical proof of our previously proposed orthogonal similarity transformation (OST)-based sensitivity analysis method (Zhao et al. Struct Multidisc Optim 50(3):517–522 2014a , Comput Methods Appl Mech Engrg 273:204–218 c ); the proof is designed to...
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| Veröffentlicht in: | Structural and multidisciplinary optimization 2018-07, Vol.58 (1), p.51-60 |
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| creator | Zhao, Junpeng Youn, Byeng Dong Yoon, Heonjun Fu, Zhifang Wang, Chunjie |
| description | The main purpose of this work is to provide a mathematical proof of our previously proposed orthogonal similarity transformation (OST)-based sensitivity analysis method (Zhao et al. Struct Multidisc Optim 50(3):517–522
2014a
, Comput Methods Appl Mech Engrg 273:204–218
c
); the proof is designed to show the method’s computational effectiveness. Theoretical study of computational efficiency for both robust topology optimization and robust concurrent topology optimization problems shows the necessity of the OST-based sensitivity analysis method for practical problems. Numerical studies were conducted to demonstrate the computational accuracy of the OST-based sensitivity analysis method and its efficiency over the conventional method. The research leads us to conclude that the OST-based sensitivity analysis method can bring considerable computational savings when used for large-scale robust topology optimization problems, as well as robust concurrent topology optimization problems. |
| doi_str_mv | 10.1007/s00158-018-2013-4 |
| format | Article |
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2014a
, Comput Methods Appl Mech Engrg 273:204–218
c
); the proof is designed to show the method’s computational effectiveness. Theoretical study of computational efficiency for both robust topology optimization and robust concurrent topology optimization problems shows the necessity of the OST-based sensitivity analysis method for practical problems. Numerical studies were conducted to demonstrate the computational accuracy of the OST-based sensitivity analysis method and its efficiency over the conventional method. The research leads us to conclude that the OST-based sensitivity analysis method can bring considerable computational savings when used for large-scale robust topology optimization problems, as well as robust concurrent topology optimization problems.</description><identifier>ISSN: 1615-147X</identifier><identifier>EISSN: 1615-1488</identifier><identifier>DOI: 10.1007/s00158-018-2013-4</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Computational Mathematics and Numerical Analysis ; Computing time ; Economic models ; Engineering ; Engineering Design ; Mathematical analysis ; Research Paper ; Robustness (mathematics) ; Sensitivity analysis ; Similarity ; Theoretical and Applied Mechanics ; Topology optimization ; Transformations</subject><ispartof>Structural and multidisciplinary optimization, 2018-07, Vol.58 (1), p.51-60</ispartof><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><rights>Structural and Multidisciplinary Optimization is a copyright of Springer, (2018). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-4a3ca08ccc0fa1462c77239dfd3ea1c8e86f89038b9dd21d680feaa2a67c4b733</citedby><cites>FETCH-LOGICAL-c344t-4a3ca08ccc0fa1462c77239dfd3ea1c8e86f89038b9dd21d680feaa2a67c4b733</cites><orcidid>0000-0003-0135-3660</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00158-018-2013-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00158-018-2013-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Zhao, Junpeng</creatorcontrib><creatorcontrib>Youn, Byeng Dong</creatorcontrib><creatorcontrib>Yoon, Heonjun</creatorcontrib><creatorcontrib>Fu, Zhifang</creatorcontrib><creatorcontrib>Wang, Chunjie</creatorcontrib><title>On the orthogonal similarity transformation (OST)-based sensitivity analysis method for robust topology optimization under loading uncertainty: a mathematical proof and its extension</title><title>Structural and multidisciplinary optimization</title><addtitle>Struct Multidisc Optim</addtitle><description>The main purpose of this work is to provide a mathematical proof of our previously proposed orthogonal similarity transformation (OST)-based sensitivity analysis method (Zhao et al. Struct Multidisc Optim 50(3):517–522
2014a
, Comput Methods Appl Mech Engrg 273:204–218
c
); the proof is designed to show the method’s computational effectiveness. Theoretical study of computational efficiency for both robust topology optimization and robust concurrent topology optimization problems shows the necessity of the OST-based sensitivity analysis method for practical problems. Numerical studies were conducted to demonstrate the computational accuracy of the OST-based sensitivity analysis method and its efficiency over the conventional method. 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2014a
, Comput Methods Appl Mech Engrg 273:204–218
c
); the proof is designed to show the method’s computational effectiveness. Theoretical study of computational efficiency for both robust topology optimization and robust concurrent topology optimization problems shows the necessity of the OST-based sensitivity analysis method for practical problems. Numerical studies were conducted to demonstrate the computational accuracy of the OST-based sensitivity analysis method and its efficiency over the conventional method. The research leads us to conclude that the OST-based sensitivity analysis method can bring considerable computational savings when used for large-scale robust topology optimization problems, as well as robust concurrent topology optimization problems.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00158-018-2013-4</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0003-0135-3660</orcidid></addata></record> |
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| source | SpringerNature Journals |
| subjects | Computational Mathematics and Numerical Analysis Computing time Economic models Engineering Engineering Design Mathematical analysis Research Paper Robustness (mathematics) Sensitivity analysis Similarity Theoretical and Applied Mechanics Topology optimization Transformations |
| title | On the orthogonal similarity transformation (OST)-based sensitivity analysis method for robust topology optimization under loading uncertainty: a mathematical proof and its extension |
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