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VEHICLE SIZING PDR AAE 451 TEAM 4
Jared Hutter, Andrew Faust, Matt Bagg, Tony Bradford, Arun Padmanabhan, Gerald Lo, Kelvin Seah September 30, 2003
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OVERVIEW Preliminary Weight Estimate Constraint Analysis
Using design database of existing UAVs. Using mission segment weight fractions. Constraint Analysis Requirements and assumptions. Wing area estimate. Power estimate. Aircraft Sizing Summary
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PRELIMINARY WEIGHT ESTIMATE
Design database included UAVs under 550 lbf, and excluded jet-powered aircraft. Plotted the Empty Weight (WE) versus the Gross Take-Off Weight (GTOW). Empty Weight estimated to be lbf using the linear trend line at a GTOW of 55 lbf.
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PRELIMINARY WEIGHT ESTIMATE
Plot of Empty Weight vs. GTOW for Existing UAVs Equation of Linear Trend Line: WE = ·GTOW Target Weight: GTOW = 55 lbs WE = lbs
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WEIGHT ESTIMATION using Mission Segment Weight Fractions
Details of this approach are presented in Chapter 6 of Raymer. Mission profile considered: Loiter Cruise Cruise Climb & Accelerate Descent Engine Start, Warm Up Landing, Taxi & Shut Down Taxi Take-Off
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WEIGHT ESTIMATION using Mission Segment Weight Fractions
Some equations used: Climb and Accelerate Cruise Loiter Raymer, Eq (6.9) Raymer, Eq (6.11) M_cruise = 0.054 M_take-off = 0.028 R = Range = 2,000 ft C_bhp for cruise = 0.4 (empirical data, from Raymer, lbf/hr/bhp) eta_p = 0.8 L/D for cruise = 11.89 E = 15 mins (or 0.25 hrs) V at loiter is approx 30 ft/s (2 ft/s above V_stall) C_bhp for loiter = 0.5 (empirical data, from Raymer, lbf/hr/bhp) L/D for loiter = 10.31 Raymer, Eq (6.15)
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WEIGHT ESTIMATION using Mission Segment Weight Fractions
Engine Start, Taxi and Take-Off: Climb and Accelerate: Cruise: Loiter: Descent: Landing and Taxi: Overall:
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WEIGHT ESTIMATION using Mission Segment Weight Fractions
Based on and a take-off weight of 55 lbf, Fuel Weight = 9.42 lbf Dry Weight = lbf
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CONSTRAINT ANALYSIS Requirements: Cruise Speed (Vcruise = 60 ft/sec)
Stall Speed (Vstall = 28 ft/sec) Climb Gradient (gclimb = 5.5°) Endurance (30 mins)
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CONSTRAINT ANALYSIS Assumptions: Maximum CL = 1.3
Oswalds Efficiency Factor, e = 0.8 Propeller Efficiency, hp = 0.8 SHPcruise = 0.75 SHPmax,cruise Drag Coefficient, CD = 1.1 CD0 where CD0 = 0.03 Aspect Ratio = 7 Take-Off Distance (100 ft) Landing Distance (100 ft)
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CONSTRAINT ANALYSIS Cruise Requirement Stall Speed Requirement
Roskam Vol. 1 Page 162 Roskam Vol. 1 Page 90
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CONSTRAINT ANALYSIS Climb Gradient Requirement Endurance Requirement
Roskam Vol. 1 Page 138 Derived in Lecture, Sept 9, 2003
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CONSTRAINT ANALYSIS Take-Off Distance Requirement
Landing Distance Requirement Roskam Vol. 1 Page 95 Roskam Vol. 1 Page 171, Homebuilt Aircraft Data
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CONSTRAINT ANALYSIS Climb Gradient Endurance Stall Speed
Take-Off Distance Stall Speed Cruise
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CONSTRAINT ANALYSIS – CLOSE UP
Cruise Stall Speed Take-Off Distance W/P = lbf / SHP W/S = lbf / ft2
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SUMMARY Required Power = 4.45 HP Required Wing Area = 48.16 ft2
With an AR of 7.0, Span = ft Chord = 2.62 ft Fuel Weight = 9.42 lbf Dry Weight = lbf
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PROFILE & FRONT VIEWS 2.62 ft 18.36 ft
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TOP VIEW 18.36 ft 2.62 ft Aspect Ratio: 7
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SIZING WITH OTHER ASSUMPTIONS
Increase CLmax to 1.5, keeping AR = 7.0 Required power is 4.83 HP Required wing area is ft2 Span = ft Chord = 2.44 ft Decrease AR to 5.0, keeping CLmax = 1.3 Required power is 5.81 HP Required wing area of ft2 Span = ft Chord = 3.10 ft
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QUESTIONS?
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