Table Of Content

(cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page i — #1 (cid:2) (cid:2) Multiple Scales Theory and Aerospace Applications (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page ii — #2 (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page iii — #3 (cid:2) (cid:2) Multiple Scales Theory and Aerospace Applications RudrapatnaV.Ramnath,Ph.D. MassachusettsInstituteofTechnology EDUCATIONSERIES JosephA.Schetz Editor-in-Chief VirginiaPolytechnicInstituteandStateUniversity Blacksburg,Virginia Publishedby AmericanInstituteofAeronauticsandAstronautics,Inc. 1801AlexanderBellDrive,Reston,VA20191-4344 (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page iv — #4 (cid:2) (cid:2) AmericanInstituteofAeronauticsandAstronautics,Inc.,Reston,Virginia 1 2 3 4 5 LibraryofCongressCataloging-in-PublicationData Ramnath,RudrapatnaV. Multiplescalestheoryandaerospaceapplications/RudrapatnaV.Ramnath. p. cm.--(AIAAeducationseries) Includesbibliographicalreferencesandindex. ISBN978-1-60086-762-0 1. Aerospaceengineering--Dataprocessing.2. Aeronautics--Systemsengineering.3. Differentiabledynamicalsystems.4. Scalinglaws(Statisticalphysics)I.Title. TL563.R362010 629.10285--dc22 2010019966 Copyright©2010bytheAmericanInstituteofAeronauticsandAstronautics,Inc.Allrights reserved.PrintedintheUnitedStatesofAmerica.Nopartofthispublicationmayberepro- duced,distributed,ortransmitted,inanyformorbyanymeans,orstoredinadatabaseor retrievalsystem,withoutthepriorwrittenpermissionofthepublisher. Dataandinformationappearinginthisbookareforinformationalpurposesonly.AIAAis notresponsibleforanyinjuryordamageresultingfromuseorreliance, nordoesAIAA warrantthatuseorreliancewillbefreefromprivatelyownedrights. (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page v — #5 (cid:2) (cid:2) AIAAEducationSeries Editor-In-Chief JosephA.Schetz VirginiaPolytechnicInstituteandStateUniversity EditorialBoard TakahiraAoki RakeshK.Kapania UniversityofTokyo VirginiaPolytechnicInstitute andStateUniversity JoãoLuizF.Azevedo InstitutodeAeronáuticaeEspaço BrianLandrum SãoJosédosCampos, UniversityofAlabama Brazil inHuntsville KarenD.Barker TimothyC.Lieuwen GeorgiaInstitute ofTechnology RobertH.Bishop UniversityofTexasatAustin MichaelMohaghegh TheBoeingCompany AaronR.Byerley U.S.AirForceAcademy ConradF.Newberry RichardColgren BrettNewman UniversityofKansas OldDominionUniversity JamesR.DeBonis JosephN.Pelton NASAGlennResearchCenter GeorgeWashingtonUniversity KajalK.Gupta MarkA.Price NASADrydenFlightResearchCenter Queen’sUniversityBelfast RikardB.Heslehurst DavidM.VanWie UniversityofNewSouthWales JohnsHopkinsUniversity (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page vi — #6 (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page vii — #7 (cid:2) (cid:2) Dedicated to the fond memory of my parents, Sri R.Venkataramaiya and Smt. Seethamma (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page viii — #8 (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) (cid:2) “FM” — 2010/8/16 — 19:31 — page ix — #9 (cid:2) (cid:2) Foreword MultipleScalesTheoryandAerospaceApplicationsconstitutesacomprehen- siveworkonthepowerfultechniqueofmultiplescalesthatcombinestheoretical conceptsandpracticalapplicabilityinasynergistictreatment.Thetableofcontents ofthisbooklistsasetoftopicsthatwouldbefamiliartothewell-informedapplied mathematicianworkingintheﬁeldofaerospaceengineering.Thisdoesnotmean thatthebookisdirectedonlyattheappliedmathematician;indeed,theoppositeis moreasymptoticallycorrect.Thisbookcanandshouldbestudiedforhandsome returns by the applied dynamics and control analysts and designers, simulation specialists,andthoseexperimentalistsworkinginaerospaceengineering. RudrapatnaV.Ramnath,aproductofthePrincetonUniversityHayes–Kruskal Schoolformodelingandanalysisofnon-linearproblems,haspresentedhereina highlevelofintellectualrigor,derivedfromhiswideexperienceinbothacademia andtheaerospaceindustry.Hehasbeenintimatelyinvolvedinthedetailedproblem formulationandsolutionoftheapplicationspresentedinthebook.Ihastentopoint out the depth and breadth of Professor Ramnath’s experiences as a practicing aerospace engineer allow for a theoretical approach that is well balanced with usefulappliedandphysics-basedresults.Hewritesfromapracticalperspective. PerhapsthestrongestthemethatformsthefoundationofthebookisProfessor Ramnath’sbeliefthatcomplex,ambiguousproblemsinaerospaceengineeringare notareasonforsloppyorcarelessproblemsolving.Tothecontrary, hedelivers usefulresultsinthesesituationsbasedongreatcare,rigor,andingenuityinapply- ingquantitativemultiplescalesapproximationsthatarebasedonhisgeneralization ofthetechniqueanddistillinghisexperienceonmanyaerospaceapplications. Not only do I agree with Professor Ramnath on the demand and utility of rigor and care for correctness, I believe it to be essential for progress, safety, andsustainabilityinaerospaceengineering.Therefore, Ihighlyrecommendthis booktopracticingdynamicsandcontrolanalysts,designers,simulationspecialists, experimentalists,andappliedmathematiciansinaerospaceengineeringatalllevels whodesiretobecomebetterandmorecreativeintheirprofession. WesleyL.Harris PhD.NAE,AIAAFellow MassachusettsInstituteofTechnology Cambridge,Massachusetts ix (cid:2) (cid:2) (cid:2) (cid:2)