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1、MartinP.Bends0eOptimizationofStructuralTopology,Shape,andMaterialSpringer-VerlagBerlinHeidelbergGmbHMartinP.Bends0eOptimizationofStructuralTopology,Shape,andMaterialWith85Figures,SpringerDr.MartinP.Bends0eTechnicalUniversityofDenmarkMathematicalInstituteBuilding303DK-280
2、0LyngbyISBN978-3-662-03117-9ISBN978-3-662-03115-5(eBook)DOI10.1007/978-3-662-03115-5CIP-dataappliedforThisworkissubjecttocopyrighLAllrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitat
3、ion,broadcasting,reproductiononmicrofilmorinotherways,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-VerlagB
4、erlinHeidelbergGmbH.ViolationsareliableforprosecutionactunderGermanCopyrightLaw.@Springer-VedagBerlinHeidelbergI995OriginallypublishedbySpringer-VerlagBerlinHeidelbergNewYorkin1995Softcoverreprintofthehardcover1stedition1995Theuseofgeneraldescriptivenames,registerednames
5、,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Production:PRODUservSpringerProduktions-Gesellschaft,BerlinTypesetting:Camera-readycopybyauth
6、orCover-layout:Struve&Partner,Heidelberg61/30ao-543a10Printedonacid-freepaperToSusanneCharlotteAnnePrefaceThisworkisanattempttoprovideaunifiedpresentationofmethodsfortheoptimaldesignoftopology,shapeandmaterialforcontinuumanddiscretestructures.Theemphasisisonrecentlymatur
7、edtechniquesforthetopologydesignofcontinuumstructures.Asthefirstdesignsusingthismethodologyarenowbeingproduced,itseemstimelytocollectanddescriberesearchresultsfromthelastdecadeinonepublication.Thefieldofstructuraloptimizationcombinesmechanics,variationalcalculusandmathem
8、aticalprogrammingtoobtainbetterdesignsofstructures.Thisplacesanyauthorinasomewhatproblematicpositiononh
