An efficient algorithm to estimate optimal preform die shape parameters in forging
An optimisation method for design of intermediate die shapes needed in some forging operations is presented. The basic problem consists of finding an optimal two-step forging sequence by automatically designing the shape of the preforming tools. The optimisation problem is defined based on an invers...
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Veröffentlicht in: | Engineering computations 2001-01, Vol.18 (8), p.1057-1077 |
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creator | Castro, Catarina F. Costa Sousa, Luísa António, C.A.C. César de Sá, J.M.A. |
description | An optimisation method for design of intermediate die shapes needed in some forging operations is presented. The basic problem consists of finding an optimal two-step forging sequence by automatically designing the shape of the preforming tools. The optimisation problem is defined based on an inverse formulation. The objective function of the optimisation problem is a function describing the quality of the obtained part by measuring the die underfill. The finite element method is used to simulate the forging problem. The optimisation method is based on a modified sequential unconstrained minimisation technique and a gradient method. The sensitivity-dependent algorithm requires computing the derivatives of the objective function with respect to the design variables defining the preform shapes. A direct differentiation method has been developed for this purpose. The optimisation scheme is demonstrated with two axisymmetric forging examples in which optimal preform dies are obtained. |
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The basic problem consists of finding an optimal two-step forging sequence by automatically designing the shape of the preforming tools. The optimisation problem is defined based on an inverse formulation. The objective function of the optimisation problem is a function describing the quality of the obtained part by measuring the die underfill. The finite element method is used to simulate the forging problem. The optimisation method is based on a modified sequential unconstrained minimisation technique and a gradient method. The sensitivity-dependent algorithm requires computing the derivatives of the objective function with respect to the design variables defining the preform shapes. A direct differentiation method has been developed for this purpose. The optimisation scheme is demonstrated with two axisymmetric forging examples in which optimal preform dies are obtained.</description><identifier>ISSN: 0264-4401</identifier><identifier>EISSN: 1758-7077</identifier><identifier>DOI: 10.1108/02644400110409168</identifier><language>eng</language><publisher>Bradford: MCB UP Ltd</publisher><subject>Algorithms ; Deformation ; Design engineering ; Design optimization ; Differentiation ; Engineering ; Finite element analysis ; Forging ; Inverse problems ; Mechanics ; Metal forming ; Methods ; Numerical analysis ; Optimization ; Simulation ; Studies ; Underfill</subject><ispartof>Engineering computations, 2001-01, Vol.18 (8), p.1057-1077</ispartof><rights>MCB UP Limited</rights><rights>Copyright MCB UP Limited (MCB) 2001</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c480t-f61678a4f37bf05877b7f80e124e1ae4d60a0ed44fbadbec196bc84447538553</citedby><cites>FETCH-LOGICAL-c480t-f61678a4f37bf05877b7f80e124e1ae4d60a0ed44fbadbec196bc84447538553</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.emerald.com/insight/content/doi/10.1108/02644400110409168/full/pdf$$EPDF$$P50$$Gemerald$$H</linktopdf><linktohtml>$$Uhttps://www.emerald.com/insight/content/doi/10.1108/02644400110409168/full/html$$EHTML$$P50$$Gemerald$$H</linktohtml><link.rule.ids>314,776,780,961,11614,27901,27902,52661,52664</link.rule.ids></links><search><creatorcontrib>Castro, Catarina F.</creatorcontrib><creatorcontrib>Costa Sousa, Luísa</creatorcontrib><creatorcontrib>António, C.A.C.</creatorcontrib><creatorcontrib>César de Sá, J.M.A.</creatorcontrib><title>An efficient algorithm to estimate optimal preform die shape parameters in forging</title><title>Engineering computations</title><description>An optimisation method for design of intermediate die shapes needed in some forging operations is presented. The basic problem consists of finding an optimal two-step forging sequence by automatically designing the shape of the preforming tools. The optimisation problem is defined based on an inverse formulation. The objective function of the optimisation problem is a function describing the quality of the obtained part by measuring the die underfill. The finite element method is used to simulate the forging problem. The optimisation method is based on a modified sequential unconstrained minimisation technique and a gradient method. The sensitivity-dependent algorithm requires computing the derivatives of the objective function with respect to the design variables defining the preform shapes. A direct differentiation method has been developed for this purpose. The optimisation scheme is demonstrated with two axisymmetric forging examples in which optimal preform dies are obtained.</description><subject>Algorithms</subject><subject>Deformation</subject><subject>Design engineering</subject><subject>Design optimization</subject><subject>Differentiation</subject><subject>Engineering</subject><subject>Finite element analysis</subject><subject>Forging</subject><subject>Inverse problems</subject><subject>Mechanics</subject><subject>Metal forming</subject><subject>Methods</subject><subject>Numerical analysis</subject><subject>Optimization</subject><subject>Simulation</subject><subject>Studies</subject><subject>Underfill</subject><issn>0264-4401</issn><issn>1758-7077</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNkU1PGzEQhq2qSKTQH9CbxaG9sDD-WNscEWoTRCQkFNGj5d0dB8N-1d5I8O9xlIpDU9GexqN53hnPO4R8YXDGGJhz4EpKCZATCRdMmQ9kxnRpCg1afySzbb3IADskn1J6BAAtBMzI3WVP0ftQB-wn6tr1EMP00NFpoJim0LkJ6TBuHy0dI_ohdrQJSNODG5GOLroOJ4yJhp7m4jr062Ny4F2b8PPveERWP76vrhbF8nZ-fXW5LGppYCq8YkobJ73QlYfSaF1pbwAZl8gcykaBA2yk9JVrKqzZhapqk5fUpTBlKY7It13bMQ6_NvmztgupxrZ1PQ6bZLUUgm_tyOTXd0luJIdSlv8GlRHMGJPBkz_Ax2ET-7yt5Sw3UgA8Q2wH1XFIKXtnx5h9jC-Wgd0eze4dLWuKnSakCZ_fBC4-WaWFLq38ya2aL-75zUpZnXnY8dhhdG3zXyNO_y7ZQ-3YePEKLcWynA</recordid><startdate>20010101</startdate><enddate>20010101</enddate><creator>Castro, Catarina F.</creator><creator>Costa Sousa, Luísa</creator><creator>António, C.A.C.</creator><creator>César de Sá, J.M.A.</creator><general>MCB UP Ltd</general><general>Emerald Group Publishing Limited</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>0U~</scope><scope>1-H</scope><scope>7SC</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L.0</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20010101</creationdate><title>An efficient algorithm to estimate optimal preform die shape parameters in forging</title><author>Castro, Catarina F. ; Costa Sousa, Luísa ; António, C.A.C. ; César de Sá, J.M.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c480t-f61678a4f37bf05877b7f80e124e1ae4d60a0ed44fbadbec196bc84447538553</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Algorithms</topic><topic>Deformation</topic><topic>Design engineering</topic><topic>Design optimization</topic><topic>Differentiation</topic><topic>Engineering</topic><topic>Finite element analysis</topic><topic>Forging</topic><topic>Inverse problems</topic><topic>Mechanics</topic><topic>Metal forming</topic><topic>Methods</topic><topic>Numerical analysis</topic><topic>Optimization</topic><topic>Simulation</topic><topic>Studies</topic><topic>Underfill</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Castro, Catarina F.</creatorcontrib><creatorcontrib>Costa Sousa, Luísa</creatorcontrib><creatorcontrib>António, C.A.C.</creatorcontrib><creatorcontrib>César de Sá, J.M.A.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Global News & ABI/Inform Professional</collection><collection>Trade PRO</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ABI/INFORM Professional Standard</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Engineering computations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Castro, Catarina F.</au><au>Costa Sousa, Luísa</au><au>António, C.A.C.</au><au>César de Sá, J.M.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An efficient algorithm to estimate optimal preform die shape parameters in forging</atitle><jtitle>Engineering computations</jtitle><date>2001-01-01</date><risdate>2001</risdate><volume>18</volume><issue>8</issue><spage>1057</spage><epage>1077</epage><pages>1057-1077</pages><issn>0264-4401</issn><eissn>1758-7077</eissn><abstract>An optimisation method for design of intermediate die shapes needed in some forging operations is presented. The basic problem consists of finding an optimal two-step forging sequence by automatically designing the shape of the preforming tools. The optimisation problem is defined based on an inverse formulation. The objective function of the optimisation problem is a function describing the quality of the obtained part by measuring the die underfill. The finite element method is used to simulate the forging problem. The optimisation method is based on a modified sequential unconstrained minimisation technique and a gradient method. The sensitivity-dependent algorithm requires computing the derivatives of the objective function with respect to the design variables defining the preform shapes. A direct differentiation method has been developed for this purpose. The optimisation scheme is demonstrated with two axisymmetric forging examples in which optimal preform dies are obtained.</abstract><cop>Bradford</cop><pub>MCB UP Ltd</pub><doi>10.1108/02644400110409168</doi><tpages>21</tpages></addata></record> |
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subjects | Algorithms Deformation Design engineering Design optimization Differentiation Engineering Finite element analysis Forging Inverse problems Mechanics Metal forming Methods Numerical analysis Optimization Simulation Studies Underfill |
title | An efficient algorithm to estimate optimal preform die shape parameters in forging |
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