2010 L5 Introduction Rotor Craft

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    Unmanned Aircraft Design,Modeling and Control

    VTOLAircraftLecture1:IntroductiontoRotorcraft

    Dr.SamirBouabdallah

    VTOL=VerticalTakeOffandLanding

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    Coursesectioncontents

    Lecture1:Introductiontorotorcraft (today)

    Lecture2:Dynamicmodelingofrotorcraft

    Lecture3:Controlofrotorcraft

    Lecture4:HelicopterElements:Rotorhead

    Lecture5:OutlookonMAVResearch,UASCollisionAvoidance,Q&A

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    Introduction

    Unfortunately,theuseofhelicoptersisrestrictedtoapplicationswhereotherconceptsarenotsuitable!

    Himaintenancecosts

    Highpowerrequiredforflying

    However,thehelicopterabilitytohover,allowsittolandalmosteverywhere

    Idealforrescuemissions(inmountains,inoceans,...)

    A helicopter is a collection of vibrations held together by differential equations John Watkinson

    The helicopter is probably the most complex flying machine

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    Ashorthistory

    Chinesetops(2000yearsago...)

    DaVincishelicalairscrew(1490)

    FirstmannedhelicopterGyroplanNr.1byBreguet&Richet(1907)

    Aflying...dreamer

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    Typesofrotorcraft

    Powerdrivenmainrotor+tailrotor

    The

    thrust

    (T)

    is

    tothe

    tip

    path

    plane

    TheairflowsfromTOPtoBOTTOM

    Tiltsitsmainrotortoflyforward

    Helicopter

    T

    Undrivenmainrotor,tiltedaway

    Forward

    propeller

    for

    propulsion

    TheairflowsfromBOTTOMtoTOP

    Notailrotorrequired

    Notcapableofhovering

    exceptin:

    Gyroplane(Autogyro)

    wind

    Powerdrivenmainrotor+tailrotor

    Rearwardpropellerforpropulsion

    Mainrotorremains//todir.offlight

    TheairflowsfromTOPtoBOTTOM

    Gyrodyne

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    Rotorconfigurations

    Contrarotating,noneedfortailrotor

    Totaldiskarea< 2xdiskarea

    TheCoGpositionisnotcritical

    Muchlesssensitivetowinddirection

    duringhovering

    Tandemrotor(frontrear)

    Contrarotating,noneedfortailrotor

    Higherefficiencyinforwardflight

    Highstructuraldrag

    Rarelyused

    Tandemrotor(sidebyside)

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    Rotorconfigurations

    Intermeshedcontrarotatingrotors,(drivenbyonlyonegearbox)

    Torquesdonotcancelperfectlyinthehorizontalplane

    Theadvancingbladesareonthe

    "inside(becauseofdragonthehull inFF)

    Synchropter

    Contrarotating,noneedfortailrotor

    Lossesduetoupperrotordownwash(somerecoveredfromtheswirlenergy)

    Compactsize

    Coaxial

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    AirfoilTheoryin2D(seelecture#1)

    Pressuredistributiononthesurfacecanbereduced to2forcesandonemoment:

    Liftforce

    Dragforce

    Moment chordvSCM M 2

    2

    2

    2vSCF DD

    2

    2vSCF LL

    with

    : Density of fluid (air)S : Wing area

    v : Flight speed

    CL : Lift coefficient

    CD : Drag coefficient

    CM : Moment coefficient

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    Drag

    Profiledrag isthedragincurredfromfrictionalresistanceofthebladespassingthroughtheair.

    Induceddrag isthedragincurredasaresultofproductionoflift.Itistheportionofthetotalaerodynamicforce whichisorientedinthedirectionopposingthemovementoftheairfoil.(decreaseswithFwdspeed,thankstocleanair!)

    Parasitedrag isthedragincurredfromthenonliftingportionsoftheaircraft(fuselage,etc.)

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    Flightwitharigidrotorhead

    Hover

    Thrust(T)balancesexactlytheweight(W)

    TheforcesonthebladesdoNOT varyastheyturn

    T

    W

    Forwardflight Forward

    speed

    =

    130mph Propellerspeed(linear)=420mph

    Relativeairspeedunbalance

    Maximum

    speed

    at

    =90 (min.

    at

    =270)

    Largeforceunbalance Largestress@rotorroot=largerollingmoment

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    Forcesontherotorhead

    gF

    LiftF

    gF

    LiftF

    gF

    =0 >0

    >0

    Bladesareaffectedbycentrifugalforceduetorotationandliftingforce(leadstorotorconing)

    Coningeffectslargemomentsatbladeroots

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    Articulatedrotorhead

    Reductionofstressatbladeroot

    Rotorbladesarenotrigidlyattachedtohead,buthingesupported

    Threejoints:Feathering,laggingandflapping

    Flapping (up &down) Reduces stressdueto rolling moments

    But,allows largeCoriolismoments inthe planeof rotation(dueto Centerof Mass displacement)

    Flapping

    Lagging

    Feathering

    Lagging (forward &backward) Releasesthe rotor from these Coriolismoments

    Feathering

    Enables

    the

    pitch

    angle

    to

    be

    changed

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    Rotorcontrol:theswashplate

    Swashplateconvertssteeringsignalinto

    blade

    pitch

    change

    (rotationaboutfeatheringaxis)

    Collectivepitchforaltitudecontrol

    Cyclicpitchforrollandpitchcontrol

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    Gyroscopicprecession

    Therotorofahelicopterisagyroscope

    Anappliedforceismanifested90 laterinthedirectionofrotationfromwherethe

    forcewasapplied.

    Helicopterswithcontrarotatingrotors

    minimize

    the

    gyroscopic

    effect

    (coaxial,synchropter,quadrotor,...)

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    Stabilityaugmentation:theflybar

    Gyroscopicbehavior

    Actsonthefeatheringaxis

    Slowstherateoftherotorchangeofattitude,

    proportionallytotheflybarinertia

    Theflybartiltisproportionaltotheroll (orpitch)rateofturn

    the

    angle

    between

    the

    flybar

    &

    the

    mast

    is

    a

    measureofroll(orpitch)rate

    E.g.TheBellbarsystem

    Withsensorbasedcontrol,theflybarbecameobsoleteforfullscalehelicopters

    Onsomemodelhelicopters(coaxial),theflybarisstillused(becauseofthehighdynamics)

    IthasfullcontrolofpitchoftheupperrotorCourtesy of E-flight

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    Thetailrotor

    Thetailrotorprovidesatorquetobalancethemainrotorcountertorque

    Variablebladepitchenablesyawcontrol

    (BladepitchvariationbySwashplate mechanism)

    (collectivepitchonly)

    Fail Tail

    Isthereapossibilitytogetridofthetailrotor?

    TipJetHelicopters

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    Tailrotoralternativeconcepts

    Workslikeaductedfan

    (tips

    enclosed,

    large

    #

    of

    blades) Morequietandsafer

    Tailboombehaveslikeawinginthemain

    rotordownwash

    (effectedbyairstreamfromCoanda*slots)

    Highergroundclearance

    Morequietandsafer

    (*SeeCoandaeffect)

    Fenestron NOTAR(NOTAilRotor)

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    Groundeffect

    Itisdueto: Theinterference ofthegroundwiththeairflowpatternoftherotorsystem

    ...Whichcausesreductionofthevelocityoftheinducedairflow

    ...Whichcauseslessinduceddragandamoreverticallift

    FlyinginGEtendstoreducetherotortipvortex...Whichcauseshigherrotorbladeefficiency

    upto~onerotordiameter.

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    Kineticenergy

    Groundspeed =Speedofapointonthehelicopter,seenfromtheground

    Windspeed =Speedofaparticleofair(incaseofwind),seenfromtheground

    Helicopterflyingat30ktINTO a30ktwind KE=m.V=m.(Airspeed Windspeed)

    KineticEnergy:KE=0

    Helicopterflyingat30ktWITH a30ktwind KE=m.V=m.(Airspeed+Windspeed)

    KineticEnergy:KE>0

    Airspeed = Groundspeed Windspeed

    Ifcaseof180 turn LackofKE Altitudeloss

    In

    case

    of

    180 turn

    Excess

    of

    KE

    Altitude

    gain

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    HelicoptersattheUAVMAVsize

    4rotorsincrossconfiguration

    Directdrive(nogearbox)

    Verygoodtorquecompensation

    Hiagility

    Quadrotor

    Passivelystable

    Compact

    Suitableforminiaturization

    Coaxial(swashplateless)

    CGshift

    Std.Helicopter

    Veryagile

    Complextocontrol

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    References

    BOOKS

    J.Watkinson:TheArtoftheHelicopter

    (mainsourceforthislecture,AvailableinNEBIS.CHinelect.format)

    BramwellsHelicopterDynamics

    R.W.Prouty:HelicopterPerformance,Stability,andControl

    WEBSITES

    http://www.cybercom.net/~copters/helo_aero.html(helicopter)

    http://www.grc.nasa.gov/WWW/K12/airplane/short.html(general)

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    AdditionalSlides

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    HelicopterPrinciple

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    AutogyroPrinciple

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    NOTAR