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Mechanical Actuators for Guidance of a Supersonic ... - CFD4Aircraft

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Guided bullets to intercept mortarsAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 4


Ball M33 Lab TestsOptical Verification <strong>of</strong> changesin flow due to mass injection atNoseCan Alter40mm Scaled Ball M33USAFA Tunnel / CFDMass Injection : Nose,Midbody, BoattailLong and Short BoattailMidbodyMeasurements <strong>of</strong> mass flowrequired to affect flowFlowJetLongBoattailBestAft MassInjectionBest40mm ARL ProjectileU. Texas Tunnel / CFD – <strong>for</strong>ces and momentsAft Mass Injection : Tangential and NormalNormalMass InjectBetterProjectileUnstableAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 5


Concept <strong>of</strong> implementing flow control near fin<strong>Actuators</strong> create shock patterns that impingeon fin and body surfaces to produce timedependent control <strong>for</strong>ces.Roll controlAft View2 pins close to adjacent finsInduce Angle <strong>of</strong> Attack ChangePitch controlAft View2 diametrically opposed pinsInduce clockwise rotationM = 4.0AOA = 0°Authorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 6


Fin InteractionsGTRI TunnelMeasured <strong>for</strong>ces generated by pins and mass injection in region near finy (in.)Total DifferentialForce: 1.46 lbsx (in.)Pitching Moment (N-m)151050-5-10Moment as Function <strong>of</strong> AOACg @ 90.2 mmCg @ 123.5 mm-15-15 -10 -5 0 5 10 15AOAPins Near FinsGenerateStrong TurningMoment½ Body Test RigToo MuchVolumeRequired <strong>for</strong>Mass InjectionInput fromARL onSize, Shape,Mass Dist.Need System Study toDefine:Cg locationFin Shape/SizeRoll or Fin Stabilized?Actuation Concept andPreliminary Design3D EffectsSteering Force(Steady & Unsteady)CFDUnderstand FluidDynamicInteractionsPreliminary<strong>Actuators</strong>AvailableSteeringForceFire Roundat ARLTest Conceptand HardwareAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 7


Parametric Study DetailsPin location test matrix 9 x 10 Matrix (90 locations) 0.55 in spanwise x 0.88 in streamwise Force measurements made <strong>for</strong> all pins atall points except trapezoid, whichexperienced structural failure 271 unique tests per<strong>for</strong>med 1300 + data points (each locationper<strong>for</strong>med 3 times)Forces on fin directly measured asopposed to pressuremeasurementsFlowOriginal Test Matrix(March 2003)Extended Test Matrix(March 2004)M 1.7 C/D NozzleFlat PlateFin(-0.650, 1.065)(-0.1, 0.185)(0,0)Authorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 10


3-D D Contours <strong>of</strong> Force DataRectangle 0.2 Round 0.2 Round 0.1• Contour plots <strong>of</strong> side <strong>for</strong>ce vs pin location show same trend <strong>for</strong> all pins• Clear evidence <strong>of</strong> optimal regions <strong>for</strong> pin location Implies there is leeway in placement <strong>of</strong> pin Important as mechanical/space restrictions may not allow <strong>for</strong> location at optimal location Relative <strong>for</strong>ce <strong>for</strong>flat pin larger than round with same frontal area This likely due to stronger shock (no 3-D relieving effect)• Hypothesis that optimal location should scale with pin diameter, was proven wrong (compare 0.1 and 0.2 dia pins) The 3-D shock interactions are complex and do not lead to simple scalingAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 11


Effect <strong>of</strong> Separation Distance (between(pin and fin)• Dividing the <strong>for</strong>ce by the frontal area <strong>of</strong> the pinprovides a 1 st order collapse <strong>of</strong> the magnitude• Several different parameters were explored todetermine the effect <strong>of</strong> separation distance The distance from the edge <strong>of</strong> the fin to the centroid <strong>of</strong> the pinprovided the best collapse Optimum separation distance appears to be about 0.41-0.42 in• Plots are at Y = 0.775inGap (pin-fin)Dist to CentroidPin DiameterAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 12


Effect <strong>of</strong> Pin Geometry• For same frontal area, rectangularpin gives most <strong>for</strong>ce Has least 3-D relieving effect Seems to outweigh additional side<strong>for</strong>cegenerated on trapezoidal pin• Optimal (X,Y) location independent <strong>of</strong>pin geometry• Enough trapezoid data acquired(be<strong>for</strong>e structural failure) todemonstrate that flat pin is betterSide Force (lb)2018161412M 2.475 C/D Nozzle DataY = 0.565 in.TrapezoidRectangleRound1080.35 0.4 0.45 0.5 0.55 0.6X (in)Authorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 13


Mach 2.5 Experiments at GTRI½ Projectile (full scale)Ground PlaneMach 2.5C/D Nozzle50 mmLinear AirBearingShaft <strong>for</strong> modelrotationForce Sensor <strong>for</strong>moment measurementForce Sensors <strong>for</strong> side <strong>for</strong>ce measurementPressure Transducer andSignal ConditionersAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 14


Effect <strong>of</strong> Pin Height8Force on ProjectileTrapezoid Pin 22.5 deg OrientationM = 2.47, Half Body10Moments Produced by Trapezoid PinM = 2.47, Half Body, 22.5 deg OrientationForce (lb)6420-2-4-6Increasing PinHeightFlush1 mm2 mm3 mm3.3 mmMoment (in-lb)50-5-10-15Increasing PinHeightFlush1 mm2 mm3 mm3.3 mm-8-6 -4 -2 0 2 4 6AOA-20-6 -4 -2 0 2 4 6AOA• Force dominated by AOA <strong>of</strong> projectile• Non linear effect <strong>of</strong> pin height on moment• Projectile should be rotate to about 5 degrees with pin deployedAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 15


Second Generation Actuator Rotates into Flow• Rocker Pin Hardware Installed in WindTunnel Scale Model Rotation solves stiction problem• Consisted <strong>of</strong> Rocker Pin Assembly Pneumatic Cylinder Small Valve• Further work needed Not g-hardened Valve still too large• Using 90 psi Very large holding <strong>for</strong>ce Response time on order <strong>of</strong> 10 ms Rotates projectile over 4 degreesClick to PlayMovieAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 16


Experimental Input to CFD• Experiments showedWhere to place guidance pinsEffects <strong>of</strong> pin geometry‣ Including material failure (not from CFD)Crude <strong>for</strong>ce measurements<strong>Mechanical</strong> design considerations (not from CFD)• Need CFD to complete pictureLittle flow understandingBetter drag and <strong>for</strong>ce measurementsUse full 3-D body• Combine EFD and CFD to predict Range TestsAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 17


Using CFD to Predict Range Test Results• Drag and Roll Torque Predictedusing CFDAllowed <strong>for</strong> estimation <strong>of</strong>per<strong>for</strong>mance in rangeFewer shots required as we knew howmany rotations to expect downrangeM = 4.0AOA = 0°Authorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 18


ARL Range Tests to Measure Roll Torque• ½ Scale Projectiles Fired from 1 inch GunQuantify Rolling MomentsProvide Results <strong>for</strong> Validating CFDProvide More Accurate Aero Coefficients to 6 DOF• Total shots fired: 15 rounds 3 with no pins‣ 1 at Mach 3‣ 1 at Mach 2.5‣ 1 at Mach 2 3 with long pins (0.1 in height) at Mach 3 9 with short pins (0.07 in height)‣ 3 at Mach 3‣ 3 at Mach 2.5‣ 3 at Mach 2Picture <strong>of</strong> test facilityAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 19


ARL Range Test Setup• 6 Orthogonal X-ray XStations Near Muzzle Showed that Sabot Separated Cleanly• 35 Shadowgraph Stations – to 100 m Downrange Generated Images that were used to determine;‣ Roll and Pitch Damping‣ Drag‣ Number <strong>of</strong> Revolutions – Spin Rate25-mm smoothbore gunAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 20


Test Articles• Projectiles ½ Scale (25 mm)• Pins were round 1/16 th in diameter on opposing fins• Nylon SabotLong Pin Test ArticleTungstenAluminum25 mmNylon SabotShort Pin Test Article12.5 mmAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 21


Shadowgraphs from Range – Count Rotations• The rotation <strong>of</strong> the round as it traverses the range can be tracked via a spin pin• The rotation rate leads to a measurement <strong>of</strong> roll torque developed by pinsPin Used to CountRevolutionsStations 22 and 276.7m to 8.2mLittle Spin ObservedAuthorized <strong>for</strong> public release. Distribution Unlimited.Stations 295 and 30090m to 91.4mOver 90° rotation06/21/2007 22


Range Test Comparison with CFD• Comparison with measured data not as good as expectedDrag under predicted at all Mach numbersRoll torque prediction worse as Mach number increasedAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 23


What went wrong?• Compromises in machining small rounds led to significant differences between CFDgeometry and test rounds• New grid generated and new runs accounting <strong>for</strong>Fin leading edge bluntnessFillet at base <strong>of</strong> finRound pin versus RectangularAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 24


Comparison with Updated Geometry• Once a more accurate geometry was modeled, a much better correlation was foundbetween the computed and measured drag and roll torques• Allowed us to proceed with divert test on full scale rounds00.4-0.010.35Roll Torque (N-m)-0.02-0.03-0.04Long Pin (Range-Prodas)Long Pin (CFD)Short Pin (Range-Prodas)Short Pin (CFD)Drag Coefficient (C d)0.30.25Long Pin Cd (Range-Prodas)Long Pin Cd (CFD)Short Pin Cd (Range-Prodas)Short Pin Cd (CFD)-0.051.8 2 2.2 2.4 2.6 2.8 3Mach Number0.21.8 2 2.2 2.4 2.6 2.8 3Mach NumberAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 25


700 ft Range Preliminary Tests• Outdoor Range• 75 mm smooth bore gun• Yaw cards set up• Problems encountered Stability Sabot SeparationTry doing this in CFDAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 26


Sabot and Launch Package Resolution• New set <strong>of</strong> rounds made with increased static margin• Cup scored more deeply• Aluminum pusher plateAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 27


700 ft Range Tests – Divert DemonstrationAim PointSeries <strong>of</strong> yaw cards show that projectile is clearly divingdown due to pins deployed after launch.Authorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 28


Transonic Spark Photograph Layout• 5 groups <strong>of</strong> 5 stations• Each Station provides Shadowgraphs <strong>for</strong> Vertical Plane – Wall Horizontal Plane - PitProjectileShadowgraphGroup 1 Group 2 Group 3 Group 4 Group 53 mNominal Pin Deployment39.5 m 45.8 m162 mAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 29


Divert Demonstrated by ShadowgraphsAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 30


Demonstrated High G Turn on Stable ProjectileStable projectile <strong>for</strong> testing (1.5 caliberstatic margin)~14 g divert maneuver10.4 g verticalacceleration~80 N <strong>for</strong>ce created by control pinsPreliminary data reductionMore data will be available in the nearfutureConcept promising <strong>for</strong> high g maneuvers9.4 g horizontalaccelerationAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 31


Conclusions• A demonstration <strong>of</strong> steering a Mach 4 projectile using the guidance pins wassuccessful• The combined CFD and Experimental ef<strong>for</strong>ts led to a greater understanding <strong>of</strong>the effects <strong>of</strong> the pinsEFD and CFD each used to get different but required <strong>for</strong>ces and moments‣ Results could have been easily done without IFDThis in turn allowed us to better predict the results <strong>of</strong> the range tests• Less range tests were required because once the predictions were validated, itwas proven we understood the aerodynamicsThis saved substantial amounts <strong>of</strong> money‣ $10,000 bullets and 5 range operators and 2 PhDs add up fast‣ (As does destruction <strong>of</strong> the ADT alarm box)Less Bullets Less $$ IFD=GOODAuthorized <strong>for</strong> public release. Distribution Unlimited.06/21/2007 32

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