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Improved NSGA-II and its application in BIW structure optimization
Based on the crowding distance algorithm of Non-Dominated Sorting Genetic Algorithm-II (NSGA-II), three improved algorithms are proposed: side length optimization strategy, diagonal optimization strategy, center optimization strategy. Zero-Ductility Transition (ZDT) series functions and Diode-Transi...
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Published in: | Advances in mechanical engineering 2023-02, Vol.15 (2) |
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creator | Wu, Xiao Chen, Zhiyong Liu, Tao Song, Haisheng Wang, Zhiwei Shi, Wenku |
description | Based on the crowding distance algorithm of Non-Dominated Sorting Genetic Algorithm-II (NSGA-II), three improved algorithms are proposed: side length optimization strategy, diagonal optimization strategy, center optimization strategy. Zero-Ductility Transition (ZDT) series functions and Diode-Transistor Logic with Zener diode (DTLZ) series functions are used to calculate and compare the convergence and diversity of three improved algorithms and NSGA-II. The center optimization strategy based NSGA-II is confirmed to be the optimal algorithm. The body-in-white (BIW) optimization functions are established and optimized by center optimization strategy based NSGA-II, and the most appropriate BIW structure is calculated and verified by mode tests. The result shows: after the optimization, the BIW total mass increment is less than 3%, the first torsional mode frequency increment is more than 15%, and the torsion stiffness increment is more than 10%. |
doi_str_mv | 10.1177/16878132221150588 |
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Zero-Ductility Transition (ZDT) series functions and Diode-Transistor Logic with Zener diode (DTLZ) series functions are used to calculate and compare the convergence and diversity of three improved algorithms and NSGA-II. The center optimization strategy based NSGA-II is confirmed to be the optimal algorithm. The body-in-white (BIW) optimization functions are established and optimized by center optimization strategy based NSGA-II, and the most appropriate BIW structure is calculated and verified by mode tests. The result shows: after the optimization, the BIW total mass increment is less than 3%, the first torsional mode frequency increment is more than 15%, and the torsion stiffness increment is more than 10%.</description><identifier>ISSN: 1687-8132</identifier><identifier>EISSN: 1687-8140</identifier><identifier>DOI: 10.1177/16878132221150588</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Avalanche diodes ; Ductile-brittle transition ; Genetic algorithms ; Mathematical analysis ; Optimization ; Sorting algorithms ; Stiffness ; Transistor logic ; Transistors</subject><ispartof>Advances in mechanical engineering, 2023-02, Vol.15 (2)</ispartof><rights>The Author(s) 2023</rights><rights>The Author(s) 2023. This work is licensed under the Creative Commons Attribution License https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c421t-ba0e0f89d53520ef28e204a3948282209cc4c05c89f687d309b4767fbaf66193</citedby><cites>FETCH-LOGICAL-c421t-ba0e0f89d53520ef28e204a3948282209cc4c05c89f687d309b4767fbaf66193</cites><orcidid>0000-0002-9096-7471</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2780694566/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2780694566?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,21946,25732,27832,27903,27904,36991,44569,44924,45312,74872</link.rule.ids></links><search><creatorcontrib>Wu, Xiao</creatorcontrib><creatorcontrib>Chen, Zhiyong</creatorcontrib><creatorcontrib>Liu, Tao</creatorcontrib><creatorcontrib>Song, Haisheng</creatorcontrib><creatorcontrib>Wang, Zhiwei</creatorcontrib><creatorcontrib>Shi, Wenku</creatorcontrib><title>Improved NSGA-II and its application in BIW structure optimization</title><title>Advances in mechanical engineering</title><description>Based on the crowding distance algorithm of Non-Dominated Sorting Genetic Algorithm-II (NSGA-II), three improved algorithms are proposed: side length optimization strategy, diagonal optimization strategy, center optimization strategy. Zero-Ductility Transition (ZDT) series functions and Diode-Transistor Logic with Zener diode (DTLZ) series functions are used to calculate and compare the convergence and diversity of three improved algorithms and NSGA-II. The center optimization strategy based NSGA-II is confirmed to be the optimal algorithm. The body-in-white (BIW) optimization functions are established and optimized by center optimization strategy based NSGA-II, and the most appropriate BIW structure is calculated and verified by mode tests. The result shows: after the optimization, the BIW total mass increment is less than 3%, the first torsional mode frequency increment is more than 15%, and the torsion stiffness increment is more than 10%.</description><subject>Avalanche diodes</subject><subject>Ductile-brittle transition</subject><subject>Genetic algorithms</subject><subject>Mathematical analysis</subject><subject>Optimization</subject><subject>Sorting algorithms</subject><subject>Stiffness</subject><subject>Transistor logic</subject><subject>Transistors</subject><issn>1687-8132</issn><issn>1687-8140</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>AFRWT</sourceid><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UMtOwzAQjBBIVKUfwC0S55S14_hxbCsokSo4UImj5Th25apNgu0iwdeTNqgcEKdd7c7Mzk6S3CKYIsTYPaKccZRjjBEqoOD8IhkdZxlHBC7PfY6vk0kIroICKAAVYpTMy33n2w9Tp8-vy1lWlqlq6tTFkKqu2zmtomub1DXpvHxLQ_QHHQ_epG0X3d59nbY3yZVVu2AmP3WcrB8f1ounbPWyLBezVaYJRjGrFBiwXNRFXmAwFnODgahcEI45xiC0JhoKzYXt7dY5iIowymylLKVI5OOkHGTrVm1l591e-U_ZKidPg9ZvpPLR6Z2RAiivKEdANCHccmUZxYwohVhNCkZ6rbtBq__9_WBClNv24JvevcSM98mQgtIehQaU9m0I3tjzVQTyGLz8E3zPmQ6coDbmV_V_wjfXeH8j</recordid><startdate>202302</startdate><enddate>202302</enddate><creator>Wu, Xiao</creator><creator>Chen, Zhiyong</creator><creator>Liu, Tao</creator><creator>Song, Haisheng</creator><creator>Wang, Zhiwei</creator><creator>Shi, Wenku</creator><general>SAGE Publications</general><general>Sage Publications Ltd</general><general>SAGE Publishing</general><scope>AFRWT</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>L7M</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-9096-7471</orcidid></search><sort><creationdate>202302</creationdate><title>Improved NSGA-II and its application in BIW structure optimization</title><author>Wu, Xiao ; Chen, Zhiyong ; Liu, Tao ; Song, Haisheng ; Wang, Zhiwei ; Shi, Wenku</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c421t-ba0e0f89d53520ef28e204a3948282209cc4c05c89f687d309b4767fbaf66193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Avalanche diodes</topic><topic>Ductile-brittle transition</topic><topic>Genetic algorithms</topic><topic>Mathematical analysis</topic><topic>Optimization</topic><topic>Sorting algorithms</topic><topic>Stiffness</topic><topic>Transistor logic</topic><topic>Transistors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Xiao</creatorcontrib><creatorcontrib>Chen, Zhiyong</creatorcontrib><creatorcontrib>Liu, Tao</creatorcontrib><creatorcontrib>Song, Haisheng</creatorcontrib><creatorcontrib>Wang, Zhiwei</creatorcontrib><creatorcontrib>Shi, Wenku</creatorcontrib><collection>SAGE Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</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 (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Engineering Database</collection><collection>Publicly Available Content 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>DOAJ Directory of Open Access Journals</collection><jtitle>Advances in mechanical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Xiao</au><au>Chen, Zhiyong</au><au>Liu, Tao</au><au>Song, Haisheng</au><au>Wang, Zhiwei</au><au>Shi, Wenku</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Improved NSGA-II and its application in BIW structure optimization</atitle><jtitle>Advances in mechanical engineering</jtitle><date>2023-02</date><risdate>2023</risdate><volume>15</volume><issue>2</issue><issn>1687-8132</issn><eissn>1687-8140</eissn><abstract>Based on the crowding distance algorithm of Non-Dominated Sorting Genetic Algorithm-II (NSGA-II), three improved algorithms are proposed: side length optimization strategy, diagonal optimization strategy, center optimization strategy. Zero-Ductility Transition (ZDT) series functions and Diode-Transistor Logic with Zener diode (DTLZ) series functions are used to calculate and compare the convergence and diversity of three improved algorithms and NSGA-II. The center optimization strategy based NSGA-II is confirmed to be the optimal algorithm. The body-in-white (BIW) optimization functions are established and optimized by center optimization strategy based NSGA-II, and the most appropriate BIW structure is calculated and verified by mode tests. The result shows: after the optimization, the BIW total mass increment is less than 3%, the first torsional mode frequency increment is more than 15%, and the torsion stiffness increment is more than 10%.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/16878132221150588</doi><orcidid>https://orcid.org/0000-0002-9096-7471</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Avalanche diodes Ductile-brittle transition Genetic algorithms Mathematical analysis Optimization Sorting algorithms Stiffness Transistor logic Transistors |
title | Improved NSGA-II and its application in BIW structure optimization |
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