Inductor shape optimization for electromagnetic casting
The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. In this paper we formulate an inverse optimizat...
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| Veröffentlicht in: | Structural and multidisciplinary optimization 2009-12, Vol.39 (6), p.589-606 |
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| container_title | Structural and multidisciplinary optimization |
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| creator | Canelas, Alfredo Roche, Jean R. Herskovits, José |
| description | The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. In this paper we formulate an inverse optimization problem where the position and shape of the inductors are defined by a set of design variables. In a first formulation of the inverse optimization problem we minimize the difference between the target and the equilibrium shapes while in a second approach we minimize the
L
2
norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. Geometric constraints that prevent the inductors from penetrating the liquid metal are considered in both formulations. The optimization problems are solved using FAIPA, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches. |
| doi_str_mv | 10.1007/s00158-009-0386-0 |
| format | Article |
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L
2
norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. Geometric constraints that prevent the inductors from penetrating the liquid metal are considered in both formulations. The optimization problems are solved using FAIPA, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches.</description><identifier>ISSN: 1615-147X</identifier><identifier>EISSN: 1615-1488</identifier><identifier>DOI: 10.1007/s00158-009-0386-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algorithms ; Casting ; Computational Mathematics and Numerical Analysis ; Design optimization ; Electromagnetic fields ; Engineering ; Engineering Design ; Formulations ; Geometric constraints ; Inductors ; Industrial Application ; Levitation casting ; Liquid metals ; Mathematics ; Optimization and Control ; Pressure ; Shape optimization ; Theoretical and Applied Mechanics</subject><ispartof>Structural and multidisciplinary optimization, 2009-12, Vol.39 (6), p.589-606</ispartof><rights>Springer-Verlag 2009</rights><rights>Structural and Multidisciplinary Optimization is a copyright of Springer, (2009). All Rights Reserved.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c395t-7f98546e69995e307d2f814b02b4b023e4792abe4e30788e2ff5c6605bd437353</citedby><cites>FETCH-LOGICAL-c395t-7f98546e69995e307d2f814b02b4b023e4792abe4e30788e2ff5c6605bd437353</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00158-009-0386-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00158-009-0386-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://inria.hal.science/inria-00589752$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Canelas, Alfredo</creatorcontrib><creatorcontrib>Roche, Jean R.</creatorcontrib><creatorcontrib>Herskovits, José</creatorcontrib><title>Inductor shape optimization for electromagnetic casting</title><title>Structural and multidisciplinary optimization</title><addtitle>Struct Multidisc Optim</addtitle><description>The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. In this paper we formulate an inverse optimization problem where the position and shape of the inductors are defined by a set of design variables. In a first formulation of the inverse optimization problem we minimize the difference between the target and the equilibrium shapes while in a second approach we minimize the
L
2
norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. Geometric constraints that prevent the inductors from penetrating the liquid metal are considered in both formulations. The optimization problems are solved using FAIPA, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches.</description><subject>Algorithms</subject><subject>Casting</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Design optimization</subject><subject>Electromagnetic fields</subject><subject>Engineering</subject><subject>Engineering Design</subject><subject>Formulations</subject><subject>Geometric constraints</subject><subject>Inductors</subject><subject>Industrial Application</subject><subject>Levitation casting</subject><subject>Liquid metals</subject><subject>Mathematics</subject><subject>Optimization and Control</subject><subject>Pressure</subject><subject>Shape optimization</subject><subject>Theoretical and Applied Mechanics</subject><issn>1615-147X</issn><issn>1615-1488</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kE9LAzEQxYMoWKsfwNuCR1mdJJt_x1LUCgUvCt5CNs22Ke1mTVJBP727rNSTl5lh5vcew0PoGsMdBhD3CQAzWQKoEqjkJZygCeaYlbiS8vQ4i_dzdJHSFgAkVGqCxHO7OtgcYpE2pnNF6LLf-2-TfWiLpl-7nbM5hr1Zty57W1iTsm_Xl-isMbvkrn77FL09PrzOF-Xy5el5PluWliqWS9EoySruuFKKOQpiRRqJqxpIPRTqKqGIqV013KR0pGmY5RxYvaqooIxO0e3ouzE73UW_N_FLB-P1YrbUvo3eaAAmlWDkE_f0zUh3MXwcXMp6Gw6x7R_UhHDCQXBMegqPlI0hpeiaozEGPaSpxzR7Z6WHNPsyRWTUpJ5t1y7-Of8v-gHo8XWG</recordid><startdate>20091201</startdate><enddate>20091201</enddate><creator>Canelas, Alfredo</creator><creator>Roche, Jean R.</creator><creator>Herskovits, José</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><general>Springer Verlag</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>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>1XC</scope></search><sort><creationdate>20091201</creationdate><title>Inductor shape optimization for electromagnetic casting</title><author>Canelas, Alfredo ; Roche, Jean R. ; Herskovits, José</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c395t-7f98546e69995e307d2f814b02b4b023e4792abe4e30788e2ff5c6605bd437353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Algorithms</topic><topic>Casting</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Design optimization</topic><topic>Electromagnetic fields</topic><topic>Engineering</topic><topic>Engineering Design</topic><topic>Formulations</topic><topic>Geometric constraints</topic><topic>Inductors</topic><topic>Industrial Application</topic><topic>Levitation casting</topic><topic>Liquid metals</topic><topic>Mathematics</topic><topic>Optimization and Control</topic><topic>Pressure</topic><topic>Shape optimization</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Canelas, Alfredo</creatorcontrib><creatorcontrib>Roche, Jean R.</creatorcontrib><creatorcontrib>Herskovits, José</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Structural and multidisciplinary optimization</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Canelas, Alfredo</au><au>Roche, Jean R.</au><au>Herskovits, José</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Inductor shape optimization for electromagnetic casting</atitle><jtitle>Structural and multidisciplinary optimization</jtitle><stitle>Struct Multidisc Optim</stitle><date>2009-12-01</date><risdate>2009</risdate><volume>39</volume><issue>6</issue><spage>589</spage><epage>606</epage><pages>589-606</pages><issn>1615-147X</issn><eissn>1615-1488</eissn><abstract>The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. 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L
2
norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. Geometric constraints that prevent the inductors from penetrating the liquid metal are considered in both formulations. The optimization problems are solved using FAIPA, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/s00158-009-0386-0</doi><tpages>18</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Structural and multidisciplinary optimization, 2009-12, Vol.39 (6), p.589-606 |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algorithms Casting Computational Mathematics and Numerical Analysis Design optimization Electromagnetic fields Engineering Engineering Design Formulations Geometric constraints Inductors Industrial Application Levitation casting Liquid metals Mathematics Optimization and Control Pressure Shape optimization Theoretical and Applied Mechanics |
| title | Inductor shape optimization for electromagnetic casting |
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