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1、InverseProblemsinVibrationSOLIDMECHANICSANDITSAPPLICATIONSVolume119SeriesEditor:G.M.L.GLADWELLDepartmentofCivilEngineeringUniversityofWaterlooWaterloo,Ontario,CanadaN2L3GIAimsandScopeoftheSeriesThefundamentalquestionsarisinginmechanicsare:Why?,How?,andHowmTheaimofthisseriesistoprovidelucidaccounts
2、writtenbyauthoritativeresgivingvisionandinsightinansweringthesequestionsonthesubjectofmecharelatestosolids.Thescopeoftheseriescoverstheentirespectrumofsolidmechanics.Thusitthefoundationofmechanics;variationalformulations;computationalmestatics,kinematicsanddynamicsofrigidandelasticbodies:vibration
3、sofsostructures;dynamicalsystemsandchaos;thetheoriesofelasticity,plastiviscoelasticity;compositematerials;rods,beams,shellsandmembranes;scontrolandstability;soils,rocksandgeomechanics;fracture;tribology;expemechanics;biomechanicsandmachinedesign.Themedianlevelofpresentationisthefirstyeargraduatest
4、udent.Sometextsargraphsdefiningthecurrentstateofthefield;othersareaccessibletofinalyeagraduates;butessentiallytheemphasisisonreadabilityandclarity.Foralistofrelatedmechanicstitles,seefinalpages.InverseProblemsinVibrationSecondEditionbyGrahamM.L.GladwellUniversityofWaterloo,DepartmentofCivilEnginee
5、ring,Waterloo,Ontario,CanadaKLUWERACADEMICPUBLISHERSNEWYORK,BOSTON,DORDRECHT,LONDON,MOSCOWeBookISBN:1-4020-2721-4PrintISBN:1-4020-2670-6©2005SpringerScience+BusinessMedia,Inc.Print©2004KluwerAcademicPublishersDordrechtAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanyme
6、ans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitSpringer'seBookstoreat:http://ebooks.springerlink.comandtheSpringerGlobalWebsiteOnlineat:http://www.springeronline.comAllappearanceindicatesneitheratotalexclusionnoramanifestp
7、resenceofdivinity,butthepresenceofaGodwhohideshimself.Everythingbearsthischaracter.Pascal’sPensées,555.Contents1MatrixAnalysis11.1Introduction.............................11.2Basicdefinitionsandnotation...........