AE 1350 Lecture #2 TOPICS ALREADY COVERED • We reviewed the history of aeronautics and rocketry. • We discussed the parts of the airplane. • We discussed various ways an aircraft is graphically represented. VARIOUS DISCIPLINES Structures Propulsion Stability & Control Design Aerodynamics & Performance Axes of an Airplane Roll of an Airplane • The longitudinal axis extends lengthwise through the fuselage from the nose to the tail. • Movement of the airplane around the longitudinal axis is known as roll and is controlled by movement of the ailerons. Yaw • The vertical or normal axis passes vertically through the center of gravity. • Movement of the airplane around the vertical axis is yaw. • Yaw is controlled by movement of the rudder. PITCH • The lateral axis extends crosswise from wingtip to wing tip. • Movement of the airplane around the lateral axis is known as pitch. • Pitch is controlled by movement of the elevators. AERODYNAMIC CONTROL SURFACES • • • • • • • • Elevators control pitch angle Ailerons control roll angle Rudder controls yaw angle Flaps increase lift and drag Leading edge slats increase lift Drag brakes increase drag Spoilers reduce lift. Canard is a horizontal control surface placed near the nose. TOPICS TO BE COVERED • • • • • • Roadmap of Disciplines “English” to “S.I.” units Common Aerospace Terminology Preliminary Thoughts on Aerospace Design Specifications (“Specs”) and Standards System Integration AEROSPACE ENGINEERING DISCIPLINES • Design, modeling, and testing aerospace vehicles requires knowledge and training in the areas of – – – – – – Aerodynamics Structures Flight Mechanics, Stability & Control Propulsion Performance Design - An integration of these disciplines to come up with a new product or concept ENGLISH UNITS • U. S. aerospace industries use this convention. – – – – – – – – mass : lbm or in slugs Distance : feet Time: seconds Force: lbf (pronounced pound force) Pressure: psi (pounds per square inch), or in atm energy: Btu (British thermal units) Power: HP Temperature: Fahrenheit or degree Rankine ( R) S. I. UNITS Système International d’Unites • Most other European and Asian nations use this. – – – – – – – – mass - kg Distance - m (pronounced meters) Time - seconds Force - N (pronounced Newtons) Pressure - N/m2, or in atm energy in Joules Power in Watts (Joule/sec) Temperature in Celsius or degree Kelvin ( K) English Units (Continued) • Note: – – – – 1 slug = 32.2 lbm 1 atm = 14.7 psi (14.7 pounds per square inch) 0 Degrees F = 460 Degrees Rankine We convert Fahrenheit to Rankine by adding 460 to F – 1 BTU = 778.15760 ft lb – 1 HP = 550 ft.lb/s CONVERSION FACTORS • • • • • • • • • • 1 ft = 0.3048 m 1 slug = 14.594 kg 1 slug = 32.2 lbm 1 lbm = 0.4536 kg 1 lb = 4.448 N 1 atm = 114.7 psi = 2116 lb/ft2 = 1.01 x 105 N/m2 1degree K = 1.8 degree R Convert Celsius to Kelvin by adding 273 to Celsius 1HP = 745.69987 Watts g = Acceleration due to gravity = 32.2 ft/s2 = 9.8 m/s2 Examples • Wright Flyer weighed 340 kg – Its weight in English Units: 1 slug 32.2lbm 750lbm 340kg 14.594 kg 1 slug • Its wing area was 46.5 m2 – The area in English units: 2 1 ft 2 2 46.5m 500 ft 0.3048m – Its speed = 56 km/h = 35mph (VFY: verify for yourself, please!) AEROSPACE TERMINOLOGY • GW=Gross Weight= The nominal weight for a standard mission before the aircraft (or spacecraft) takes off. • Crew Weight: Weight of crew and associated equipment (parachute, oxygen, etc.) • P/L= Payload Weight = Weight the aircraft was designed to carry. (passengers weight, baggage for aircraft;satellites, imaging equipment etc. for spacecraft) • Fuel/Weight: That required to do the mission plus required reserves • Empty Weight = What the aircraft or spacecraft weighs when it is nominally empty (may include trapped fuel ) • GW = Crew weight+ P/L + Fuel Weight + Empty Weight AEROSPACE TERMINOLOGY – Wing Loading = Aircraft Weight/Wing Area lb N 2 , 2 ft m N lb , – Power Loading = Aircraft Weight/ Nominal Engine Power HP Watt – Aspect ratio, AR = (Wing Span)2 / Wing Area – Taper ratio = Root Chord/ Tip Chord – Specific Fuel Consumption, sfc = (Fuel Weight)/ (Power x Hour) – Empty Weight Fraction = Empty Weight/ Gross Weight – Payload Fraction = Payload Weight/ Gross Weight TYPICAL WING LOADING • Light Civil Aircraft: 10 to 30 lb/ft2 • High Altitude Fighter 30 to 60 lb/ft2 • Interceptor Fighter 120 to 350 lb/ft2 • Long Range Transport 110 to 140 lb/ft2 PRELIMINARY THOUGHTS ON DESIGN • Design is, in general, – – – – – a team effort a large system integration activity done in three stages iterative creative, knowledge based. • The three stages are: – Conceptual design – Preliminary design – Detailed design Conceptual Design • • • • What will it do? How will it do it? What is the general arrangement of parts? The end result of conceptual design is an artist’s or engineer’s conception of the vehicle/product. • Example: Clay model of an automobile. Conceptual Designs Dan Raymer sketch Conceptual Designs 1988 Lockheed Design Preliminary Design • • • • • • How big will it be? How much will it weigh? What engines will it use? How much fuel or propellent will it use? How much will it cost? This is what you will do in this course. Preliminary Design Analysis Wing sizing spreadsheet Written by Neal Willford 12/29/03 for Sport Aviation Based on methods presented in "Technical Aerodynamics" by K.D. Wood, "Engineering Aerodynamics" by W.S. Diehl, and "Airplane Performance, Stability and Control" by Perkins and Hage This spreadsheet is for educational purposes only and may contain errors. Any attempt to use the results for actual design purposes are done at the user's own risk. Input required in yellow cells Wing area sizing A/C weight: Desired stall speed: Desired stall speed: 1150 lbs Flaps up Clmax: 45 knots, flaps up Flaps down Clmax: 39 knots, flaps down 1.42 get from Airplane CL page 1.78 get from Airplane CL page Minimum wing area needed to meet the flaps up and flaps down stall speed requirements. Use the larger of the two areas Min. Wing Area = 125.3 sq ft, to meet desired flaps down stall speed Min. Wing Area = 118.0 sq ft, to meet desired flaps up stall speed Wing span sizing. Choose span to obtain desired rate of climb and ceiling Flat plate area: 4.00 sq ft Total wing area: 122.4 sq ft Wingspan: 35.5 ft (upper wingspan for a biplane or wingspan for a monoplane) estimated k1 = 1.00 biplane span factor Lower wingspan: 0 ft (lower wingspan for a biplane. Enter 0 for a monoplane) Wing gap: 0 ft (distance between upper and lower wing if the a/c is a biplane. Enter 0 for a monoplane) max fus width: 3.5 feet est airplane 'e'= 0.72 Oswald factor Max horsepower: 79 bhp Max prop RPM: 2422.907489 Prop W.R.: 0.066 chord/Diameter @ 75% prop radius Peak Efficiency 2 Blade Prop Dia. = 66 inches Peak Efficiency Pitch = 63 inches Propeller Diameter: 63 inches mu = 0.03 .03 concrete, .05 short grass, 0.1 long grass Est Prop efficiency= 0.75 Vto/Vstall 1.15 ratio of takeoff speed to stall speed (1.15 to 1.2) Prop efficiency: 0.75 ** iterate until equals estimated prop efficiency (then subtract .03 if using a wooden propeller) Estimated sea level standard day performance Vmax = 127 mph = V best ROC = 72 mph = Vmax L/D = 65 mph = V min pwr = 49 mph = Vstall, clean = 50.9 mph = Vstall, flaps = 45.4 mph = Wing loading= 9.4 lbs/sq ft Power loading = 14.6 lbs/horsepower Estimated takeoff and landing performance Fixed Pitch Prop T.O. distance = 609 feet T.O. over 50' = 929 feet Landing distance ground roll = Landing over 50' obstacle = 110 63 56 43 44.2 39.4 knots knots knots knots knots knots Fixed Pitch Propeller Performance max ROC = 902 fpm Abs. Ceiling = 20557 feet Service Ceiling= 18277 feet Constant Speed Propeller Performance max ROC = 1133 fpm Abs. Ceiling = 22899 feet Service Ceiling= 20878 feet Background calculations Cdo = Lp = Lt = Ls = lambda = Wing AR = Lt cnsspd = lamda cnsspd= Cs 3bl = L/Dmax = Prop/body int= Propeller advance ratio, J = T (fixed pitch)= Tc (fixed pitch)= T (constant speed)= Tc (constant speed)= R = Dc = Xt fixed pitch= Ht fixed pitch= Xt constant speed= Ht constant speed= T.O. Speed= Constant Speed Prop T.O. distance = 414 feet T.O. over 50' = 686 feet 420 feet, flaps down (1.15xVstall) 1023 feet, flaps down (1.15xVstall) Estimated power off sink rate (based on method in the March 1990 issue of Sport Aviation) windmilling e: 0.48 APPROXIMATELY 2/3 of power on 'e' min sink speed = 47 knots = 54 mph sink rate = 506 ft/min www.aero-siam.com/S405-WingDesign.xls Detailed Design • • • • • • How many parts will it have? What shape will they be? What materials? How will it be made? How will the parts be joined? How will technology advancements (e.g. lightweight material, advanced airfoils, improved engines, etc.) impact the design? Detailed Design Dassault Systems - CATIA Detailed Design Dassault Systems - CATIA Detailed Design Dassault Systems - CATIA A380 Arrangement SPECIFICATION AND STANDARDS • The designer needs to satisfy – Customer who will buy and operate the vehicle (e.g. Delta, TWA) – Government Regulators (U.S. , Military, European, Japanese…) CUSTOMER SPECIFICATIONS • Performance: – Payload weight and volume – how far and how fast it is to be carried – how long and at what altitude – passenger comfort – flight instruments, ground and flight handling qualities • Cost • Prince of system and spares, useful life, maintenance hours per flight hour • Firm order of units, options, Delivery schedule, payment schedule TYPICAL GOVERNMENT STANDARDS • Civil – FAA Civil Aviation Regulations define such things as required strength, acoustics, effluents, reliability, takeoff and landing performance, emergency egress time. • Military – May play a dual role as customer and regulator – MIL SPECS (Military specifications) – May set minimum standards for Mission turn-around time, strength, stability, speed-altitude-maneuver capability, detectability, vulnerability SYSTEM INTEGRATION • Aircraft/Spacecraft Design often involves integrating parts, large and small, made by other vendors, into an airframe or spaceframe (also called “the bus.”) • Parts include – engines, landing gear, shock absorbers, wheels, brakes, tires – avionics (radios, antennae, flight control computers) – cockpit instruments, actuators that move control surfaces, retract landing gears, etc... A380 Production AEROSPACE DESIGN INVOLVES • Lot of Analyses • Ground testing and simulation (e.g. wind tunnel tests of model aircraft, flight simulation, drop tests, full scale mock-up, fatigue tests) • Flight tests