Table Of Content1
EVALUATIONANDCOMPARISONOFHELICOPTERSIMULATIONMODELSWITH
DIFFERENTFIDELITIES
ATHESISSUBMITTEDTO
THEGRADUATESCHOOLOFNATURALANDAPPLIEDSCIENCES
OF
MIDDLEEASTTECHNICALUNIVERSITY
BY
DEN˙IZYILMAZ
INPARTIALFULFILLMENTOFTHEREQUIREMENTS
FOR
THEDEGREEOFMASTEROFSCIENCE
IN
AEROSPACEENGINEERING
JULY2008
Approvalofthethesis:
EVALUATIONANDCOMPARISONOFHELICOPTERSIMULATIONMODELSWITH
DIFFERENTFIDELITIES
submittedbyDENI˙ZYILMAZinpartialfulfillmentoftherequirementsforthedegreeof
Master of Science in Aerospace Engineering Department, Middle East Technical Uni-
versityby,
Prof. Dr. CananO¨zgen
Dean,GraduateSchoolofNaturalandAppliedSciences
Prof. Dr. ˙IsmailH.Tuncer
HeadofDepartment,AerospaceEngineering
Dr. ˙IlkayYavrucuk
Supervisor,AerospaceEngineeringDept.,METU
ExaminingCommitteeMembers:
Prof. Dr. CahitC¸ıray
AerospaceEngineeringDept.,METU
Dr. ˙IlkayYavrucuk
AerospaceEngineeringDept.,METU
Prof. Dr. OzanTekinalp
AerospaceEngineeringDept.,METU
Assist. Prof. Dr. Og˘uzUzol
AerospaceEngineeringDept.,METU
Assist. Prof. Dr. NilaySezerUzol
MechanicalEngineeringDept.,
TOBBUniversityofEconomicsandTechnology
Date:
Iherebydeclarethatallinformationinthisdocumenthasbeenobtainedandpresented
in accordance with academic rules and ethical conduct. I also declare that, as required
bytheserulesandconduct,Ihavefullycitedandreferencedallmaterialandresultsthat
arenotoriginaltothiswork.
Name,LastName: DEN˙IZYILMAZ
Signature :
iii
ABSTRACT
EVALUATIONANDCOMPARISONOFHELICOPTERSIMULATIONMODELSWITH
DIFFERENTFIDELITIES
Yılmaz,Deniz
M.S.,DepartmentofAerospaceEngineering
Supervisor : Dr. ˙IlkayYavrucuk
July2008,76pages
This thesis concerns the development, evaluation, comparison and testing of a UH-1H heli-
copter simulation model with various fidelity levels. In particular, the well known minimum
complexitysimulationmodelisupdatedwithvarioushigherfidelitysimulationcomponents,
such as the Peters-He inflow model, horizontal tail contribution, improved tail rotor model,
controlmapping,groundeffect,fuselageinteractions,groundreactionsetc. Resultsarecom-
pared with available flight test data. The dynamic model is integrated into the open source
simulationenvironmentcalledFlightGear. Finally,themodeliscross-checkedthrougheval-
uationsusingtestpilots.
Keywords: helicopter,simulation,fidelity,mathematicalmodeling
iv
¨
OZ
GERC¸EKC¸˙IL˙IG˘˙IDEG˘˙IS¸KENHEL˙IKOPTERMODELLER˙IN˙INDEG˘ERLEND˙IR˙ILMES˙I
VEKARS¸ILAS¸TIRILMASI
Yılmaz,Deniz
Yu¨ksekLisans,HavacılıkveUzayMu¨hendislig˘iBo¨lu¨mu¨
TezYo¨neticisi : Dr. ˙IlkayYavrucuk
Temmuz2008,76sayfa
Butezdeg˘is¸ikgerc¸ekc¸ilikseviyeleriolanUH-1Hhelikoptersimu¨lasyonmodelleriningelis¸tirilmesini,
testinivekars¸ılas¸tırılmasınıic¸erir. Literatu¨rdeiyibilinen”minimumcomplexity”simulasyon
modelininkontroldag˘ıtımı,yataykanatcıkaerodinamig˘i,rotoric¸ akıs¸ı,go¨vde,yeretkiles¸imi
gibiyenibirimlerilegerc¸eklikseviyesiartırıldı. Sonuc¸laruc¸us¸ testverisiilekars¸ılas¸tırıldıve
testpilotlarıtarafındansimulasyonortamındadenendi.
AnahtarKelimeler: helikopter,simu¨lasyon,gerc¸ekc¸ilik,matematikselmodelleme
v
Tomyfamily
vi
ACKNOWLEDGMENTS
I would like to express my sincere gratitude to Dr. ˙Ilkay Yavrucuk who supervised in all
stepsofthisworkandprovidedthenecessaryresourcesofhisknowledgeandexperience. His
energy,supportandguidancehelpedmetocompletethiswork.
I would like to thank Prof. Dr. Cahit C¸ıray for setting the first light about helicopters in my
mind during my undergraduate years. Also, many thanks to Assoc. Prof. Dr. SerkanO¨zgen
for encouraging me to start my master thesis about helicopter simulation. Special thanks to
Prof. Dr. OzanTekinalpandAssist. Prof. Dr. Og˘uzUzolfortheirassistanceandsuggestions.
I wish to state my thanks to the Teoman O¨zmen, who has never turned down my specific
requests about UH-1H helicopters and simulators located in helicopter maintenance center
militarybase.
IwishtostatemayendlessthankstoOnurTarımcıandS¸evketEserKubalı. Iprobablywould
not be able to finish my thesis without their help about coding and integration to simulation
environment. IwouldliketothankO¨zlemCeyhanandAdnanCeyhanforsharingmywhole
thesis progress. I appreciate the useful discussions we had with Volkan Kargın and Hilal
Erc¸in. I can not forget the assistance of Tolga Yapıcı, Tahir Turgut and Emre Altuntas¸ about
latex formating. I also would like to thank Gu¨rsu Tas¸ar, Alper Ezertas¸ and Go¨khan Ahmet
for always being on my side during the thesis. Thanks to Dr. Mustafa Kaya for his supports
too. I would like to thank all my friends working in the same laboratory; Burcu Akın, Tuba
C¸ig˘dem Elmas, Sinem Is¸ık, Zeynep C¸akır and Onur Tarımcı for supporting me whenever I
needed. Also many thanks to my friends, Burcu C¸akın Erdog˘an and Bus¸ra Akay who had
been far away but close enough to share my thesis progress. Special thanks to all aerospace
engineeringdepartmentstafffortheirkindresponses.
Finally, I would like to express my deepest thanks to my parents for their endless support
throughout my life. Also, this thesis is supported by the 106M069 project of The Scientific
andTechnologicalResearchCouncilofTurkey(TUBITAK).
vii
TABLE OF CONTENTS
ABSTRACT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv
O¨Z . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
DEDICATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi
ACKNOWLEDGMENTS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii
TABLEOFCONTENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii
LISTOFTABLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x
LISTOFFIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
CHAPTERS
LISTOFABBREVIATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 MATHEMATICALMODELING . . . . . . . . . . . . . . . . . . . . . . . 9
2.1 MainRotorModeling . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2 StabilizerBarModeling . . . . . . . . . . . . . . . . . . . . . . . . 18
2.3 TailRotorModeling . . . . . . . . . . . . . . . . . . . . . . . . . . 19
2.4 HorizontalTailModeling . . . . . . . . . . . . . . . . . . . . . . . 20
2.5 VerticalTailModeling . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.6 FuselageModeling. . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.7 SkidModeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.8 GroundSurfaceReactionModeling . . . . . . . . . . . . . . . . . . 24
2.9 Altitudeandthrustcoefficientupdating . . . . . . . . . . . . . . . . 26
2.10 GroundEffectModeling . . . . . . . . . . . . . . . . . . . . . . . . 27
2.11 OtherUpdates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
viii
3 TRIMMINGUSINGAFLIGHTCONTROLLER . . . . . . . . . . . . . . . 31
3.1 InnerLoopController . . . . . . . . . . . . . . . . . . . . . . . . . 32
3.2 OuterLoopController . . . . . . . . . . . . . . . . . . . . . . . . . 33
4 SIMULATIONRESULTSANDMODELVERIFICATION . . . . . . . . . 37
4.1 TrimConditionValidation . . . . . . . . . . . . . . . . . . . . . . . 37
4.2 DynamicResponseValidation . . . . . . . . . . . . . . . . . . . . . 41
4.2.1 HoverCondition . . . . . . . . . . . . . . . . . . . . . . 42
4.2.1.1 PilotCollectiveStepInput . . . . . . . . . . 42
4.2.1.2 PilotLongitudinalCyclicStepInput . . . . . 44
4.2.1.3 PilotLateralCyclicStepInput . . . . . . . . 46
4.2.1.4 PilotPedalStepInputtoHover . . . . . . . . 48
4.2.2 60KnotsForwardFlightCondition . . . . . . . . . . . . 50
4.2.2.1 PilotCollectiveStepInput . . . . . . . . . . 51
4.2.2.2 PilotLongitudinalCyclicStepInput . . . . . 53
4.2.2.3 PilotLateralCyclicStepInput . . . . . . . . 55
4.2.2.4 PilotPedalStepInput . . . . . . . . . . . . . 57
4.3 PilotEvaluationinRealTimeSimulation . . . . . . . . . . . . . . . 58
4.3.1 IntegrationIntoaSimulationEnvironment . . . . . . . . . 58
4.3.2 PilotEvaluation . . . . . . . . . . . . . . . . . . . . . . . 60
5 CONCLUSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
5.1 FutureWork . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
A GEOMETRYSPECIFICATIONSOFTHEUH-1HHELICOPTER . . . . . . 69
B MAINROTORINFLOWDISTRIBUTIONS . . . . . . . . . . . . . . . . . 70
B.1 LongitudinalStepInputto60KnotsTrimmedFlight . . . . . . . . . 71
B.2 LateralStepInputto60KnotsTrimmedFlight . . . . . . . . . . . . 76
ix
Description:latex formating. I also would like to thank Gürsu Tasar, Alper Ezertas and Gökhan Ahmet for always being on my side during the thesis. Thanks to Dr.