Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real-Coded Genetic Algorithms
Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. Nonetheless, because shear buckling behavior of corrugated web is very complex, the design...
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| Veröffentlicht in: | Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-13 |
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| creator | Shon, Sudeok Lee, Seungjae Jin, Sangwook |
| description | Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. Nonetheless, because shear buckling behavior of corrugated web is very complex, the design mechanism for beams and local, global, and interactive buckling problems should be considered in designing of its structural optimization for better economics and reasonableness. Therefore, this paper proposes a mathematical model for minimum weight design of sinusoidal web girder for securing better stability with smooth corrugation and aims at developing its optimum design program. The constraints for the optimum design were composed on the basis of the standards of EN 1993-1-5, DASt-R015, and DIN 18800, and the optimum program was coded in accordance with the standards based on Real-Coded Genetic Algorithms. The genetic operators for the developed program resulted in a stable solution with crossover probability between 12.5 and 50%, and the perturbation vector for outbreeding could obtain the best result with the model being applied of feasible design variable space of 20–30%. Additionally, the increase of yield strength resulted in decreased value of the objective function, and it was found through the change of the value of the constraint function that the thickness of web was an important factor in the optimum structural design. |
| doi_str_mv | 10.1155/2017/9184292 |
| format | Article |
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Nonetheless, because shear buckling behavior of corrugated web is very complex, the design mechanism for beams and local, global, and interactive buckling problems should be considered in designing of its structural optimization for better economics and reasonableness. Therefore, this paper proposes a mathematical model for minimum weight design of sinusoidal web girder for securing better stability with smooth corrugation and aims at developing its optimum design program. The constraints for the optimum design were composed on the basis of the standards of EN 1993-1-5, DASt-R015, and DIN 18800, and the optimum program was coded in accordance with the standards based on Real-Coded Genetic Algorithms. The genetic operators for the developed program resulted in a stable solution with crossover probability between 12.5 and 50%, and the perturbation vector for outbreeding could obtain the best result with the model being applied of feasible design variable space of 20–30%. Additionally, the increase of yield strength resulted in decreased value of the objective function, and it was found through the change of the value of the constraint function that the thickness of web was an important factor in the optimum structural design.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2017/9184292</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Buckling ; Constraints ; Corrugated plates ; Corrugating ; Design ; Design engineering ; Design factors ; Design optimization ; Design standards ; Genetic algorithms ; Hot rolling ; Mathematical analysis ; Mathematical models ; Minimum weight ; Minimum weight design ; Operators (mathematics) ; Optimization ; Shear strength ; Sine waves ; Stiffeners ; Structural design ; Structural stability ; Studies ; Thickness ; Web beams ; Webs (structural)</subject><ispartof>Mathematical problems in engineering, 2017-01, Vol.2017 (2017), p.1-13</ispartof><rights>Copyright © 2017 Sudeok Shon et al.</rights><rights>Copyright © 2017 Sudeok Shon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c393t-452a28b2941d2148b9a87420a3b01e89d37b6a2f74aaadb04bab35ba2bbc25c03</citedby><cites>FETCH-LOGICAL-c393t-452a28b2941d2148b9a87420a3b01e89d37b6a2f74aaadb04bab35ba2bbc25c03</cites><orcidid>0000-0003-4609-0702 ; 0000-0002-2597-5168</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids></links><search><contributor>Lewandowski, Roman</contributor><creatorcontrib>Shon, Sudeok</creatorcontrib><creatorcontrib>Lee, Seungjae</creatorcontrib><creatorcontrib>Jin, Sangwook</creatorcontrib><title>Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real-Coded Genetic Algorithms</title><title>Mathematical problems in engineering</title><description>Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. Nonetheless, because shear buckling behavior of corrugated web is very complex, the design mechanism for beams and local, global, and interactive buckling problems should be considered in designing of its structural optimization for better economics and reasonableness. Therefore, this paper proposes a mathematical model for minimum weight design of sinusoidal web girder for securing better stability with smooth corrugation and aims at developing its optimum design program. The constraints for the optimum design were composed on the basis of the standards of EN 1993-1-5, DASt-R015, and DIN 18800, and the optimum program was coded in accordance with the standards based on Real-Coded Genetic Algorithms. The genetic operators for the developed program resulted in a stable solution with crossover probability between 12.5 and 50%, and the perturbation vector for outbreeding could obtain the best result with the model being applied of feasible design variable space of 20–30%. Additionally, the increase of yield strength resulted in decreased value of the objective function, and it was found through the change of the value of the constraint function that the thickness of web was an important factor in the optimum structural design.</description><subject>Buckling</subject><subject>Constraints</subject><subject>Corrugated plates</subject><subject>Corrugating</subject><subject>Design</subject><subject>Design engineering</subject><subject>Design factors</subject><subject>Design optimization</subject><subject>Design standards</subject><subject>Genetic algorithms</subject><subject>Hot rolling</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Minimum weight</subject><subject>Minimum weight design</subject><subject>Operators (mathematics)</subject><subject>Optimization</subject><subject>Shear strength</subject><subject>Sine waves</subject><subject>Stiffeners</subject><subject>Structural design</subject><subject>Structural stability</subject><subject>Studies</subject><subject>Thickness</subject><subject>Web beams</subject><subject>Webs (structural)</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0MFL3UAQBvAgFbRPb57LQi-CRndmd5PsUZ_WFhSh9lGhhzCbbPJWkqzuJkj_--bxhIIXTzMwPz6GL0mOgJ8BKHWOHPJzDYVEjTvJPqhMpApk_mneOcoUUDzuJZ9jfOIcQUGxn_y5c4Prp579tq5dj-zKRtcOzDfswQ1T9K6mji19CFNLo61nZtilpZ6tohta9tNSly59PV9u7GBHV7GLrvXBjes-HiS7DXXRHr7NRbL6dv1r-T29vb_5sby4TSuhxZhKhYSFQS2hRpCF0VTkEjkJw8EWuha5yQibXBJRbbg0ZIQyhMZUqCouFsnxNvc5-JfJxrHsXaxs19Fg_RRL0Fwi8izLZ_r1HX3yUxjm70oocp1xVGqjTreqCj7GYJvyObiewt8SeLlputw0Xb41PfOTLV-7oaZX95H-stV2Nrah_xo0ZgLEP2zLhhU</recordid><startdate>20170101</startdate><enddate>20170101</enddate><creator>Shon, Sudeok</creator><creator>Lee, Seungjae</creator><creator>Jin, Sangwook</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</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>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-4609-0702</orcidid><orcidid>https://orcid.org/0000-0002-2597-5168</orcidid></search><sort><creationdate>20170101</creationdate><title>Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real-Coded Genetic Algorithms</title><author>Shon, Sudeok ; Lee, Seungjae ; Jin, Sangwook</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c393t-452a28b2941d2148b9a87420a3b01e89d37b6a2f74aaadb04bab35ba2bbc25c03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Buckling</topic><topic>Constraints</topic><topic>Corrugated plates</topic><topic>Corrugating</topic><topic>Design</topic><topic>Design engineering</topic><topic>Design factors</topic><topic>Design optimization</topic><topic>Design standards</topic><topic>Genetic algorithms</topic><topic>Hot rolling</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Minimum weight</topic><topic>Minimum weight design</topic><topic>Operators (mathematics)</topic><topic>Optimization</topic><topic>Shear strength</topic><topic>Sine waves</topic><topic>Stiffeners</topic><topic>Structural design</topic><topic>Structural stability</topic><topic>Studies</topic><topic>Thickness</topic><topic>Web beams</topic><topic>Webs (structural)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shon, Sudeok</creatorcontrib><creatorcontrib>Lee, Seungjae</creatorcontrib><creatorcontrib>Jin, Sangwook</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</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 Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</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><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shon, Sudeok</au><au>Lee, Seungjae</au><au>Jin, Sangwook</au><au>Lewandowski, Roman</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real-Coded Genetic Algorithms</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2017-01-01</date><risdate>2017</risdate><volume>2017</volume><issue>2017</issue><spage>1</spage><epage>13</epage><pages>1-13</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. 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| subjects | Buckling Constraints Corrugated plates Corrugating Design Design engineering Design factors Design optimization Design standards Genetic algorithms Hot rolling Mathematical analysis Mathematical models Minimum weight Minimum weight design Operators (mathematics) Optimization Shear strength Sine waves Stiffeners Structural design Structural stability Studies Thickness Web beams Webs (structural) |
| title | Minimum Weight Design of Sinusoidal Corrugated Web Beam Using Real-Coded Genetic Algorithms |
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