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1、AnalyticalSystemDynamicsThispageintentionallyleftblankBrianC.FabienAnalyticalSystemDynamicsModelingandSimulationABCBrianC.FabienUniversityofWashingtonMechanicalEngineeringDepartmentSeattle,WA98195ISBN:978-0-387-85604-9e-ISBN:978-0-387-85605-6DOI:10.1007/978-0-387-85605-6LibraryofCo
2、ngressControlNumber:2008935329cSpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectio
3、nwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eve
4、niftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperspringer.comToMary,MauriceandZo•eThispageintentionallyleftblankPrefaceThisbookcombinesresultsfromAnalyticalMechanicsandSystemDynam-icstodevelop
5、anapproachtomodelingconstrainedmultidisciplinedynamicsystems.ThiscombinationyieldsamodelingtechniquebasedontheenergymethodofLagrange,whichinturn,resultsinasetofdi erential-algebraicequationsthataresuitablefornumericalintegration.Usingthemodelingap-proachpresentedinthisbookareableto
6、model,andsimulate,systemsasdiverseasasixlinkclosed-loopmechanismoratransistorpowerampli er.Thematerialinthistextisusedtoteachdynamicsystemsmodelingandsimulationtoseniorsand rst-yeargraduatestudentsinengineering.Inatenweekcourse(4hoursperweek)wecovermostofthematerialinthisbook.Theba
7、sicprerequisitesfortheclassareundergraduatelevelclassesin;(i)physics(speci cally,Newtonianmechanicsandbasiccircuitanalysis);(ii)ordinarydi erentialequations;and(iii)linearalgebra.Abriefsummaryofthechaptersthatmakeupthebookareasfollows.Chapter1ThischapterintroducesPaynter'suni edsys
8、temvariables;e ort,
ow,dis
