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

467 Pages·2012·14.73 MB·English

by  Nicola Beccasio

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