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Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design: Contributions from a Workshop held at the School of Mathematics in Erice, Italy PDF

467 Pages·2012·14.732 MB·English
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Springer Optimization and Its Applications Springer Optimization and Its Applications VOLUME66 ManagingEditor PanosM.Pardalos(UniversityofFlorida,Gainesville,USA) Editor-CombinatorialOptimization Ding-ZhuDu(UniversityofTexasatDallas,Richardson,USA) AdvisoryBoard J.Birge(UniversityofChicago,Chicago,IL,USA) C.A.Floudas(PrincetonUniversity,Princeton,NJ,USA) F.Giannessi(UniversityofPisa,Pisa,Italy) H.D.Sherali(VirginiaTech,Blacksburg,VA,USA) T.Terlaky(LehighUniversity,Bethlehem,PA,USA) Y.Ye(StanfordUniversity,Stanford,CA,USA) AimsandScope Optimizationhasbeenexpandinginalldirectionsatanastonishingratedur- ing the last few decades. New algorithmic and theoretical techniques have beendeveloped,thediffusionintootherdisciplineshasproceededatarapid pace,andourknowledgeofallaspectsofthefieldhasgrownevenmorepro- found. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field.Optimizationhasbeenabasictoolinallareasofappliedmathematics, engineering,medicine,economics,andothersciences. TheseriesSpringerOptimizationandItsApplicationspublishesundergrad- uate and graduate textbooks, monographs and state-of-the-art expository work that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered in- clude nonlinear optimization (convex and nonconvex), network flow prob- lems, stochastic optimization, optimal control, discrete optimization, multi- objective programming, description of software packages, approximation techniquesandheuristicapproaches. Forfurthervolumes: www.springer.com/series/7393 Giuseppe Buttazzo (cid:2) Aldo Frediani Editors Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design Contributions from a Workshop held at the School of Mathematics in Erice, Italy Editors GiuseppeButtazzo AldoFrediani DepartmentofMathematics“L.Tonelli” DepartmentofAerospaceEngineering UniversityofPisa UniversityofPisa Pisa Pisa Italy Italy ISSN1931-6828 SpringerOptimizationandItsApplications ISBN978-1-4614-2434-5 e-ISBN978-1-4614-2435-2 DOI10.1007/978-1-4614-2435-2 SpringerNewYorkDordrechtHeidelbergLondon LibraryofCongressControlNumber:2012933756 Mathematics Subject Classification (2010): 49J15, 49J20, 35Q93, 47N10, 65K10, 65N30, 65N38, 74R20,76M10,76N25 ©SpringerScience+BusinessMedia,LLC2012 Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Usein connectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware, orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden. Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyare notidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubject toproprietaryrights. Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Thisbookisdedicatedto Professor FrancoGiannessi on theoccasion ofhis75thbirthday. Preface ThenewchallengesinAerospaceSciencesandEngineeringarenotlimitedtopartial improvementofthesystemsavailabletoday,buttheambitionistodesigninnovative machineswithajumpforwardofefficiencytoreducefuelconsumptionandnoxious emissionsor,insynthesis,toflycleanerandquieter.Mathematicsisfundamentalin thisrespect.Theseriesoftheworkshopsheldatthe“EttoreMajoranaFoundation andCentreforScientificCulture”ofEricecontinuesbringingtogethermathemati- ciansandaerospaceengineerscomingfrombothAcademiaandIndustry.Ericeisa placewherethedialogiseasyandfruitfulandyoungresearchfellowscaninteract anddiscussinapleasantandsophisticatedscientificatmosphere. Thepresentvolumecollectsmostofthepaperspresentedattheworkshop“Varia- tionalAnalysisandAerospaceEngineeringII”heldon8–16September2010;some papers,dealingwithnewchallengesinAeronautics,wereaddedinordertopresent asetofnewproblemsrequiringanextensiveapplicationofmathematicaltools. Theeditorswishtocontinuethisseriesandareconfident,aswritteninthevol- umepublishedon2009,“tocapturetheinterestofpeople,..., particularly,young researchersworkingonnewfrontiersofmathematicalapplicationtoengineering”. ThisvolumeisdedicatedtoFrancoGiannessi,eminentprofessorofMathematics attheUniversityofPisaandDirectoroftheSchoolofMathematics“G.Stampac- chia”oftheEriceCentre,ontheoccasionofhis75thbirthday.Francocontinuesto beaguidetothenewgenerationsofscientists. Pisa,Italy GiuseppeButtazzo AldoFrediani vii Acknowledgements This volume collects contributions presented in the workshop “Variational Anal- ysis and Aerospace Engineering II” held at the School of Mathematics of the E. MajoranaCentreinEriceon8–16September2010. The workshop has been possible thanks to the contributions of the following organizations: • UniversityofPisa(Italy), • DepartmentofAerospaceEngineering“L.Lazzarino”,UniversityofPisa(Italy), • DepartmentofMathematics“L.Tonelli”,UniversityofPisa(Italy), • TechnicalUniversityofTechnology,Delft(Holland), • IDSCompany,Pisa(Italy), • GNAMPA(GruppoNazionaleperl’AnalisiMatematica,laProbabilitàeleloro Applicazioni). WegratefullyacknowledgetheE.MajoranaCentreandFoundationforScientific CultureandtheprecioushelpbyFrancoGiannessiandVittorioCipolla. ix Contents PrandtlPlanePropelledwithLiquidHydrogen:APreliminaryStudy . . 1 NicolaBeccasio,MarcoTesconi,andAldoFrediani Aeroacousto-ElasticModelingforResponseAnalysisofHelicopterRotors 27 MassimoGennarettiandGiovanniBernardini CrackExtensionEnergyRateandEnergeticApproachesinElastic– PlasticFractureMechanics . . . . . . . . . . . . . . . . . . . . . . . 51 VincenzoBinante ACriterionforDuctileCrackGrowthBasedontheEnergy–Momentum Tensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 VincenzoBinanteandAldoFrediani OptimalLocationofSupportPointsintheKirchhoffPlate . . . . . . . . 93 GiuseppeButtazzoandSergeyA.Nazarov ACodeforShapeGenerationandAerodynamicDesignofAircraft. . . . 117 RaunoCavallaroandAldoFrediani DesignofSolarPoweredUnmannedBiplanesforHALEMissions . . . . 141 VittorioCipollaandAldoFrediani ThePrandtlPlaneConfiguration:OverviewonPossibleApplicationsto CivilAviation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179 AldoFrediani,VittorioCipolla,andEmanueleRizzo The Lifting System of a PrandtlPlane,Part 1: Designand Analysis ofaLightAlloyStructuralSolution . . . . . . . . . . . . . . . . . . . 211 DarioDalCanto,AldoFrediani,GianLucaGhiringhelli,andMauro Terraneo The Lifting System of a PrandtlPlane, Part 2: Preliminary Study onFlutterCharacteristics . . . . . . . . . . . . . . . . . . . . . . . . 235 N.DivouxandA.Frediani xi xii Contents The Lifting System of a PrandtlPlane, Part 3: Structures Made inComposites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269 AldoFrediani,FlavioQuattrone,andFrancescoContini ElasticStructuresinAdhesionInteraction. . . . . . . . . . . . . . . . . . 289 FrancescoMaddalena,DaniloPercivale,andFrancoTomarelli ConceptualDesignofaVeryLargePrandtlPlaneFreighter . . . . . . . . 305 FabrizioOlivieroandAldoFrediani MeshAdaptivityandOptimalShapeDesignforAerospace . . . . . . . . 323 FrédéricAlauzet,BijanMohammadi,andOlivierPironneau Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 MatteoLombardi,NicolaParolini,AlfioQuarteroni,andGianluigiRozza OntheWaytoACARE2020andBeyond . . . . . . . . . . . . . . . . . . 379 DieterSchmitt DesignProblemsofAnisotropicStructures:SomeRecentResults . . . . . 395 PaoloVannucci,BorisDesmorat,andAngelaVincenti TheWarlikeInterestinImpactTheories . . . . . . . . . . . . . . . . . . 427 PieroVillaggio Flight Mechanics Modeling of the PrandtlPlane for Conceptual andPreliminaryDesign . . . . . . . . . . . . . . . . . . . . . . . . . 435 MarkVoskuijl,JandeKlerk,andDaanvanGinneken

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