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1、AVARIATIONALAPPROACHTOSTRUCTURALANALYSISDAVIDV.WALLERSTEINAWiley-IntersciencePublicationJOHNWILEY&SONS,INC.AVARIATIONALAPPROACHTOSTRUCTURALANALYSISAVARIATIONALAPPROACHTOSTRUCTURALANALYSISDAVIDV.WALLERSTEINAWiley-IntersciencePublicationJOHNWILEY&SONS,INC.Copyr
2、ight©2002byJohnWiley&Sons,NewYork.Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,exceptaspermittedunderSections107or108ofthe1
3、976UnitedStatesCopyrightAct,withouteitherthepriorwrittenpermissionofthePublisher,orauthorizationthroughpaymentoftheappropriateper-copyfeetotheCopyrightClearanceCenter,222RosewoodDrive,Danvers,MA01923,(978)750-8400,fax(978)750-4744.RequeststothePublisherforper
4、missionshouldbeaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,605ThirdAvenue,NewYork,NY10158-0012,(212)850-6011,fax(212)850-6008,E-Mail:PERMREQ@WILEY.COM.Thispublicationisdesignedtoprovideaccurateandauthoritativeinformationinregardtothesubjectmatterc
5、overed.Itissoldwiththeunderstandingthatthepublisherisnotengagedinrenderingprofessionalservices.Ifprofessionaladviceorotherexpertassistanceisrequired,theservicesofacompetentprofessionalpersonshouldbesought.Thistitleisalsoavailableinprintas0-471-39593-5.Somecon
6、tentthatappearsintheprintversionofthisbookmaynotbeavailableinthiselectronicedition.FormoreinformationaboutWileyproducts,visitourwebsiteatwww.Wiley.comToChristinaandEdwardCONTENTSPREFACExi1INTRODUCTION12PRELIMINARIES72.1VariationalNotation/72.2TheGradient/102.
7、3IntegrationbyParts/112.4Stokes’sTheorem/132.5Green’sTheoreminthePlane/152.6AdjointEquations/162.7Meaningof∇2/192.8TotalDifferentials/202.9LegendreTransformation/212.10LagrangeMultipliers/242.11DifferentialEquationsofEquilibrium/272.12Strain-DisplacementRelat
8、ions/292.13CompatibilityConditionsofStrain/332.14ThermodynamicConsiderations/35Problems/38viiviiiCONTENTS3PRINCIPLEOFVIRTUALWORK403.1VirtualWorkDefinition/403.2GeneralizedCoordinates/413.3
