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A linear relaxation model for shape optimization of constrained contact force problem
•A linear relaxation model of contact force-clearance relation is developed.•The relaxation is essential to avoid zero sensitivities of zero contact force.•Both frictionless and frictional contact optimization problems are investigated.•The relaxation model is easy to implement and is validated by n...
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Published in: | Computers & structures 2018-04, Vol.200, p.53-67 |
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creator | Zhang, Weihong Niu, Cao |
description | •A linear relaxation model of contact force-clearance relation is developed.•The relaxation is essential to avoid zero sensitivities of zero contact force.•Both frictionless and frictional contact optimization problems are investigated.•The relaxation model is easy to implement and is validated by numerical examples.
This paper is devoted to shape optimization of constrained contact force problem. A linear relaxation model of contact force-clearance relation is developed. It is shown that such relaxation is essential to avoid zero sensitivity values of zero contact force with respect to design variables and to drive the satisfaction of contact force constraint at the specific contact region. In this work, both frictionless and frictional contact optimization problems are investigated by means of a gradient-based optimization algorithm. The optimization procedure including sensitivity analysis with relaxation model is implemented outside the structural contact analysis software to deal with non-smooth contact problems. The procedure is firstly validated by simple examples with analytical solutions and is finally applied to the design of an assembled aero-engine structure for leakproofness. |
doi_str_mv | 10.1016/j.compstruc.2018.02.005 |
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This paper is devoted to shape optimization of constrained contact force problem. A linear relaxation model of contact force-clearance relation is developed. It is shown that such relaxation is essential to avoid zero sensitivity values of zero contact force with respect to design variables and to drive the satisfaction of contact force constraint at the specific contact region. In this work, both frictionless and frictional contact optimization problems are investigated by means of a gradient-based optimization algorithm. The optimization procedure including sensitivity analysis with relaxation model is implemented outside the structural contact analysis software to deal with non-smooth contact problems. The procedure is firstly validated by simple examples with analytical solutions and is finally applied to the design of an assembled aero-engine structure for leakproofness.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/j.compstruc.2018.02.005</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Aero-engine structure design ; Aerodynamics ; Airplane engines ; Contact force ; Contact sensitivity analysis ; Contact shape optimization ; Leakproofness ; Relaxation model ; Sensitivity analysis ; Shape optimization ; Structural engineering</subject><ispartof>Computers & structures, 2018-04, Vol.200, p.53-67</ispartof><rights>2018 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 15, 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c343t-563c98785334771cd31278685db82c612b4047a4ded4ae6934ed445aecc944693</citedby><cites>FETCH-LOGICAL-c343t-563c98785334771cd31278685db82c612b4047a4ded4ae6934ed445aecc944693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Zhang, Weihong</creatorcontrib><creatorcontrib>Niu, Cao</creatorcontrib><title>A linear relaxation model for shape optimization of constrained contact force problem</title><title>Computers & structures</title><description>•A linear relaxation model of contact force-clearance relation is developed.•The relaxation is essential to avoid zero sensitivities of zero contact force.•Both frictionless and frictional contact optimization problems are investigated.•The relaxation model is easy to implement and is validated by numerical examples.
This paper is devoted to shape optimization of constrained contact force problem. A linear relaxation model of contact force-clearance relation is developed. It is shown that such relaxation is essential to avoid zero sensitivity values of zero contact force with respect to design variables and to drive the satisfaction of contact force constraint at the specific contact region. In this work, both frictionless and frictional contact optimization problems are investigated by means of a gradient-based optimization algorithm. The optimization procedure including sensitivity analysis with relaxation model is implemented outside the structural contact analysis software to deal with non-smooth contact problems. The procedure is firstly validated by simple examples with analytical solutions and is finally applied to the design of an assembled aero-engine structure for leakproofness.</description><subject>Aero-engine structure design</subject><subject>Aerodynamics</subject><subject>Airplane engines</subject><subject>Contact force</subject><subject>Contact sensitivity analysis</subject><subject>Contact shape optimization</subject><subject>Leakproofness</subject><subject>Relaxation model</subject><subject>Sensitivity analysis</subject><subject>Shape optimization</subject><subject>Structural engineering</subject><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNqFUEtLxDAQDqLguvobLHhunTzatMdl8QWCF_ccsukUU9qmJllRf70pK169zIP5HsxHyDWFggKtbvvCuHEO0R9MwYDWBbACoDwhK1rLJmdM8FOyAhBlLhvRnJOLEHoAqATAiuw22WAn1D7zOOhPHa2bstG1OGSd81l40zNmbo52tN_Ho-sy46bkpxOvXeaoTVzQBrPZu_2A4yU56_QQ8Oq3r8nu_u51-5g_vzw8bTfPueGCx7ysuGlqWZecCympaTllsq7qst3XzFSU7QUIqUWLrdBYNVykQZQajWmESPua3Bx1k-_7AUNUvTv4KVkqBmUjU-EyoeQRZbwLwWOnZm9H7b8UBbVkqHr1l6FaMlTAVMowMTdHJqYnPix6FYzFyWBrPZqoWmf_1fgB9g9_Ow</recordid><startdate>20180415</startdate><enddate>20180415</enddate><creator>Zhang, Weihong</creator><creator>Niu, Cao</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20180415</creationdate><title>A linear relaxation model for shape optimization of constrained contact force problem</title><author>Zhang, Weihong ; Niu, Cao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c343t-563c98785334771cd31278685db82c612b4047a4ded4ae6934ed445aecc944693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Aero-engine structure design</topic><topic>Aerodynamics</topic><topic>Airplane engines</topic><topic>Contact force</topic><topic>Contact sensitivity analysis</topic><topic>Contact shape optimization</topic><topic>Leakproofness</topic><topic>Relaxation model</topic><topic>Sensitivity analysis</topic><topic>Shape optimization</topic><topic>Structural engineering</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Weihong</creatorcontrib><creatorcontrib>Niu, Cao</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Weihong</au><au>Niu, Cao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A linear relaxation model for shape optimization of constrained contact force problem</atitle><jtitle>Computers & structures</jtitle><date>2018-04-15</date><risdate>2018</risdate><volume>200</volume><spage>53</spage><epage>67</epage><pages>53-67</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>•A linear relaxation model of contact force-clearance relation is developed.•The relaxation is essential to avoid zero sensitivities of zero contact force.•Both frictionless and frictional contact optimization problems are investigated.•The relaxation model is easy to implement and is validated by numerical examples.
This paper is devoted to shape optimization of constrained contact force problem. A linear relaxation model of contact force-clearance relation is developed. It is shown that such relaxation is essential to avoid zero sensitivity values of zero contact force with respect to design variables and to drive the satisfaction of contact force constraint at the specific contact region. In this work, both frictionless and frictional contact optimization problems are investigated by means of a gradient-based optimization algorithm. The optimization procedure including sensitivity analysis with relaxation model is implemented outside the structural contact analysis software to deal with non-smooth contact problems. The procedure is firstly validated by simple examples with analytical solutions and is finally applied to the design of an assembled aero-engine structure for leakproofness.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruc.2018.02.005</doi><tpages>15</tpages></addata></record> |
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subjects | Aero-engine structure design Aerodynamics Airplane engines Contact force Contact sensitivity analysis Contact shape optimization Leakproofness Relaxation model Sensitivity analysis Shape optimization Structural engineering |
title | A linear relaxation model for shape optimization of constrained contact force problem |
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