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Project Presentation Boiler Xpress December 5, 2000 Team Members Oneeb Bhutta Matthew Basiletti Ryan Beech Micheal Van Meter AAE 451 Aircraft Design
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Presentation Overview Design Mission Concept Selection & Initial Sizing Detailed Analysis: Aerodynamics Structures Propulsion Stability, Dynamics, and Control Conclusions
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The Mission Variable Stability Aircraft- Roll Axis 1.2 lb payload Flight Within Mollenkopf Athletic Ctr: 20 ft/s stall speed 12 minute Endurance/ electric power plant Robust and Affordable Transportable Airframe cost < $200
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Flight Mission 5.5 deg Climb Angle 35 ft Radius 120 ft. max T.O. roll 10 second “Straight Line” 42’ Ceiling height
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1 23 4 5 Objective Score% of Total Rank Endurance3010.07 Build within 3 weeks10.09.164 Light weight27.516.661 Turning radius9.1616.662 Robustness50106 Transportability16.6649 Ease of analysis507.58 Landing ability16.662.6610 Maintainability30105 Marketability1013.333 Weighted Objectives Method
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Constraint Diagram
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Initial Sizing
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Geometry and Configuration Wing: Sref = 13.5 sq.ft. Span = 11 ft. Aspect Ratio = 9 Taper Ratio = 0.6 tip section Airfoil: S1220 Horizontal Stabilizer: Area = 1.83 sq ft. Span = 3.0 ft. Vertical Stabilizer: Total Area: 1.15 sq.ft. Boiler Xpress 11.1’ 5.8’
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Aerodynamic Design Issues Lift Low Reynolds Number Regime Slow Flight Requirements Drag Power Requirements Accurate Performance Predications Stability and Control Trimmability Roll Rate Derivatives
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Low Reynolds Number Challenges Laminar Flow -more Prone to Separation Airfoil Sections designed for Full-sized Aircraft don’t work well for below Rn=800,000 Our Aircraft Rn=100,000-250,000 Separation Bubble-to be avoided!
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Airfoil Selection Wing: Selig S1210 CLmax = 1.53 Incidence= 3 deg Tail sections: flat plate for Low Re Incidence = -5 deg
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Drag Prediction Assume Parabolic Drag Polar Based on Empirical Fit of Existing Aircraft
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Parasite Drag (Ref. Raymer eq.12.27 & eq.12.30) Drag Build-up Method of Raymer Blasius’ Turbulent Flat Plate- Adjusted for Assumed Surface Roughness
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Drag Polar
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Power Required Predict: Power required for cruise Battery energy for cruise
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Aerodynamic Properties Wetted area = 44.5 sq.ft. Span Efficiency Factor = 0.75 CL = 5.3 / rad CL e = 0.4749 /rad L/D max = 15.5 V loiter = 24 ft/s CL max = 1.53 CL cruise = 1.05 Xcg = 0.10-0.38 (% MAC) Static Margin = 0.12 at Xcg = 0.35
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Stability Diagram elev deflect=-8 deg -4 0 4 8 00.20.40.60.811.21.41.61.8 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 CL Cmcg elev deflect=-8 deg -4 0 4 8
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Flow Simulation
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Parasite Drag C Do for Wing and Tail surfaces (Ref. Raymer eq.12.31 & eq.12.33) For Fuselage, booms & pods
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Structures Outline Materials Employed for the structure Mathematical Model Bending Moment & Stresses; Wing Test Equipment layout Landing Gears & Landing Loads
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Structural Materials Styrene foam wing core Balsa spars carry bending load 0.25 in x 0.25 in T.E. Reinforcement
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Materials Employed
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Wing
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Mathematical Model Wing Assumptions: Wing and Weight loading Method of Analysis (Theoretical Model) 2.5g x 1.5 P Boom Horizontal Tail
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Bending Moments Max Moment = 41.71 lbf/ft
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Stresses in Wing Sigma max = 2003 psi Sigma critical = 1725 psi (Actual Test Result; Whiskey Tango Team, Spring 1999) Reasons: Light Weight Structure Safety Factor (worst case scenario) Wing Test Results 1.5ft P
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Horizontal Tail & Boom Horizontal Tail: Max Stress = 850psi Spar Sizes = 1/8 in x 1/16in Booms: Max deflection = 0.24 in @ 2.5g’s x 1.5 Assuming Young Modulus (E) for a Carbon Epoxy matrix. Testing needed to verify result. Material & Time Constraint
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Equipment Layout & CG. CG. = 30%~38% MAC (Predicted) CG. = 35% MAC (Actual)
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Landing Gear From Raymer. Method of Sizing and placement of Landing gears Nose Gear: (3’’ from nose) Main gears: -6’’ from leading Edge -Separation (1.5 ft)
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V land =1.3V stall =25ft/s For d = 1 in., k = 15.2 lb/in = -5 deg V vert =2.2ft/s For 1 inch strut travel, peak load = 15.2 lb spar = 240 psi on landing Landing Loads
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Propulsion Design Issues Power Special needs Endurance Propulsion system tests
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Power Power required is determined by aircraft Power available comes from the motor
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Special Needs Pusher configuration Adjustable timing motor Reversible motor Propeller High efficiency for endurance Special propeller for electric flight
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System Components Propeller Freudenthaler 16x15 and 14x8 folding Gearbox “MonsterBox” (6:1,7:1,9.6:1) Motor Turbo 10 GT (10 cells) Speed Controller MX-50
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System Efficiencies Propeller 60-65% Gearbox 95% Motor 90% Speed Controller 95% Total System Efficiency 50.7%
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Propulsion Tests
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Torque Sensor Motor/Prop To Batteries Test Stand Attached to Wind Tunnel Balance
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Aircraft Analysis Best Endurance Speed V e = 23.2 ft/s Power Required at Best Endurance Speed P r = 15.62 ft-lb/s
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Flight Performance Increased weight 17% increase Increased cruise flight speed 22% increase Lift coefficient 26% decrease Endurance/Power 42% decrease in endurance
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Flight Performance, Stability & Control Sizing of horizontal and vertical tails and control surfaces Location of c.g. and aerodynamic center Determination of static margin Roll-axis block diagram Transfer functions Flight Performance Data
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Horizontal and Vertical Tail Initial Sizing V h - Horizontal tail volume coefficient = 0.50 V v - Vertical tail volume coefficient = 0.044 (8.3) (8.4)
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Control Surface Sizing Based on historical data from Roskam Part II Tables 8.1 and 8.2. HomebuiltsSingle Engine 0.095 0.08 0.42 0.36 0.44 0.42
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Dihedral Angle Paper by William McCombs suggests 0 – 2 degrees for RC aircraft with ailerons. Estimated by Raymer for a mid-wing aircraft to be 2 – 4 degrees. Our Aircraft- 2 degrees
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X-plot Horizontal Tail X ac = 0.46 X cg = 0.35 SM = 11% MAC -Used to find elevator area for desired Static Margin
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X-plot Vertical Tail 0.40.60.811.21.41.61.8 -0.4 -0.2 0 0.2 0.4 0.6 Vertical tail area [sq ft] CnBeta Used to determine Weathercock stability (yaw) C n = 0.11
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Flight Performance
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Tx Rx1 k + P Block Diagram – Roll Axis ServoAircraft Gyro
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Dynamic Modeling = 0.80 = -0.15
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Root Locus -90-80-70-60-50-40-30-20-1001020 -80 -60 -40 -20 0 20 40 60 80 Real Axis Imag Axis De-stabilizing feedback
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Nyquist Diagram Real Axis Imaginary Axis Nyquist Diagrams -0.8-0.6-0.4-0.200.20.4 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 From: U(1) To: Y(1) K = 0.3655 Gm=25.4284 Pm=inf.
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Economics Man-hours per week Structural Cost Break-Up Propulsion & Electronic Equipment Cost Total Cost of the project
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Man-Hours
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Structural Cost Cost = $ 292.00
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Structural Cost Break-Up
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Motor & Electronic Equipment
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Total Cost Man-Hour Breakup Rate = $75/hour
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Conclusions Flight performance requirements met Turn radius Endurance Take-off distance Stabilizing feedback implemented Future Work Data logger installation Implement destabilizing feedback Refine propulsion analysis method (further testing) Perfect construction method
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Questions?
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