Thông tin tài liệu
Aircraft Control Devices and Systems
Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2012" Copyright 2012 by Robert Stengel. All rights reserved. For educational use only.! http://www.princeton.edu/~stengel/MAE331.html ! http://www.princeton.edu/~stengel/FlightDynamics.html ! • Control surfaces" • Control mechanisms" • Flight control systems" Design for Control" • Elevator/stabilator: pitch control" • Rudder: yaw control" • Ailerons: roll control" • Trailing-edge flaps: low-angle lift control" • Leading-edge flaps/slats: High-angle lift control" • Spoilers: Roll, lift, and drag control" • Thrust: speed/altitude control" Critical Issues for Control" • Effect of control surface deflections on aircraft motions" – Generation of control forces and rigid-body moments on the aircraft" – Rigid-body dynamics of the aircraft" δ E is an input for longitudinal motion" θ = Mechanical, Power-Boosted System" Grumman A-6! McDonnell Douglas F-15! Critical Issues for Control" • Command and control of the control surfaces" – Displacements, forces, and hinge moments of the control mechanisms" – Dynamics of control linkages included in model" δ E is a state for mechanical dynamics" δ E = Control Surface Dynamics and Aerodynamics Aerodynamic and Mechanical Moments on Control Surfaces" • Increasing size and speed of aircraft leads to increased hinge moments" • This leads to need for mechanical or aerodynamic reduction of hinge moments" • Need for aerodynamically balanced surfaces" • Elevator hinge moment" H elevator = C H elevator 1 2 ρ V 2 Sc Aerodynamic and Mechanical Moments on Control Surfaces" C H surface = C H δ δ + C H δ δ + C H α α + C H command + C H δ : aerodynamic/mechanical damping moment C H δ : aerodynamic/mechanical spring moment C H α : floating tendency C H command : pilot or autopilot input • Hinge-moment coefficient, C H " – Linear model of dynamic effects" Angle of Attack and Control Surface Deflection" • Horizontal tail at positive angle of attack" • Horizontal tail with elevator control surface" • Horizontal tail with positive elevator deflection" Floating and Restoring Moments on a Control Surface" • Positive elevator deflection produces a negative (restoring) moment, H δ , on elevator due to aerodynamic or mechanical spring " • Positive angle of attack produces negative moment on the elevator" • With stick free, i.e., no opposing torques, elevator floats up due to negative H δ " Dynamic Model of a Control Surface Mechanism" δ − H δ δ − H δ δ = H α α + H command + mechanism dynamics = external forcing • Approximate control dynamics by a 2 nd - order LTI system" • Bring all torques and inertias to right side" δ E = H elevator I elevator = C H elevator 1 2 ρ V 2 Sc I elevator = C H δ E δ E + C H δ E δ E + C H α α + C H command + $ % & ' 1 2 ρ V 2 Sc I elevator ≡ H δ E δ E + H δ E δ E + H α α + H command + Dynamic Model of a Control Surface Mechanism" I elevator = effective inertia of surface, linkages, etc. H δ E = ∂ H elevator I elevator ( ) ∂ δ ; H δ E = ∂ H elevator I elevator ( ) ∂δ H α = ∂ H elevator I elevator ( ) ∂α • Stability and control derivatives of the control mechanism" Coupling of System Model and Control Mechanism Dynamics " • 2 nd -order model of control-deflection dynamics" – Command input from cockpit" – Forcing by aerodynamic effects" • Control surface deflection" • Aircraft angle of attack and angular rates" • Short period approximation" • Coupling with mechanism dynamics" Δ x SP = F SP Δx SP + G SP Δu SP = F SP Δx SP + F δ E SP Δx δ E Δ q Δ α $ % & & ' ( ) ) ≈ M q M α 1 − L α V N $ % & & & ' ( ) ) ) Δq Δ α $ % & & ' ( ) ) + M δ E 0 − L δ E V N 0 $ % & & & ' ( ) ) ) Δ δ E Δ δ E $ % & ' ( ) Δ x δ E = F δ E Δx δ E + G δ E Δu δ E + F SP δ E Δx SP Δ δ E Δ δ E # $ % % & ' ( ( ≈ 0 1 H δ E H δ E # $ % % & ' ( ( Δ δ E Δ δ E # $ % & ' ( + 0 −H δ E # $ % % & ' ( ( Δ δ E command + 0 0 H q H α # $ % % & ' ( ( Δq Δ α # $ % % & ' ( ( Short Period Model Augmented by Control Mechanism Dynamics " • Augmented dynamic equation" • Augmented stability and control matrices" F SP/ δ E = F SP F δ E SP F SP δ E F δ E " # $ $ % & ' ' = M q M α M δ E 0 1 − L α V N − L δ E V N 0 0 0 0 1 H q H α H δ E H δ E " # $ $ $ $ $ $ % & ' ' ' ' ' ' Δx SP ' = Δq Δ α Δ δ E Δ δ E $ % & & & & & ' ( ) ) ) ) ) Δ x SP / δ E = F SP / δ E Δx SP / δ E + G SP / δ E Δ δ E command State Vector! G SP / δ E = 0 0 0 H δ E " # $ $ $ $ % & ' ' ' ' Roots of the Augmented Short Period Model " • Characteristic equation for short-period/elevator dynamics" Δ SP/ δ E s ( ) = sI n − F SP/ δ E = s − M q ( ) −M α −M δ E 0 −1 s + L α V N ( ) L δ E V N 0 0 0 s −1 −H q −H α −H δ E s − H δ E ( ) = 0 Δ SP / δ E s ( ) = s 2 + 2 ζ SP ω n SP s + ω n SP 2 ( ) s 2 + 2 ζ δ E ω n δ E s + ω n δ E 2 ( ) Short Period" Control Mechanism" Roots of the Augmented Short Period Model " • Coupling of the modes depends on design parameters" M δ E , L δ E V N , H q , and H α • Desirable for mechanical natural frequency > short-period natural frequency" • Coupling dynamics can be evaluated by root locus analysis" Horn Balance" C H ≈ C H α α + C H δ E δ E + C H pilot input • Stick-free case" – Control surface free to float " C H ≈ C H α α + C H δ E δ E • Normally " C H α < 0 : reduces short-period stability C H δ E < 0 : required for mechanical stability NACA TR-927, 1948! Horn Balance" • Inertial and aerodynamic effects" • Control surface in front of hinge line" – Increasing elevator improves pitch stability, to a point " • Too much horn area" – Degrades restoring moment " – Increases possibility of mechanical instability" – Increases possibility of destabilizing coupling to short- period mode" € C H α Overhang or Leading-Edge Balance" • Area in front of the hinge line" • Effect is similar to that of horn balance" • Varying gap and protrusion into airstream with deflection angle" C H ≈ C H α α + C H δ δ + C H pilot input NACA TR-927, 1948! All-Moving Control Surfaces" • Particularly effective at supersonic speed (Boeing Bomarc wing tips, North American X-15 horizontal and vertical tails, Grumman F-14 horizontal tail)" • SB.4s aero-isoclinic wing" • Sometimes used for trim only (e.g., Lockheed L-1011 horizontal tail)" • Hinge moment variations with flight condition" Shorts SB.4! Boeing ! Bomarc! North American X-15! Grumman F-14! Lockheed L-1011! Control Surface Types Elevator" • Horizontal tail and elevator in wing wake at selected angles of attack" • Effectiveness of low mounting is unaffected by wing wake at high angle of attack" • Effectiveness of high-mounted elevator is unaffected by wing wake at low to moderate angle of attack" Ailerons" • When one aileron goes up, the other goes down" – Average hinge moment affects stick force" Compensating Ailerons" • Frise aileron" – Asymmetric contour, with hinge line at or below lower aerodynamic surface" – Reduces hinge moment" • Cross-coupling effects can be adverse or favorable, e.g. yaw rate with roll" – Up travel of one > down travel of other to control yaw effect" Abzug & Larrabee, 2002! Spoilers" • Spoiler reduces lift, increases drag" – Speed control" • Differential spoilers" – Roll control " – Avoid twist produced by outboard ailerons on long, slender wings" – free trailing edge for larger high-lift flaps" • Plug-slot spoiler on P-61 Black Widow: low control force" • Hinged flap has high hinge moment" North American P-61! Abzug & Larrabee, 2002! Elevons" • Combined pitch and roll control using symmetric and asymmetric surface deflection" • Principally used on" – Delta-wing configurations" – Swing-wing aircraft" Grumman F-14! General Dynamics F-106! Canards" • Pitch control" – Ahead of wing downwash" – High angle of attack effectiveness" – Desirable flying qualities effect (TBD)" Dassault Rafale! SAAB Gripen! Yaw Control of Tailless Configurations" • Typically unstable in pitch and yaw" • Dependent on flight control system for stability" • Split ailerons or differential drag flaps produce yawing moment" McDonnell Douglas X-36! Northrop Grumman B-2! Rudder" • Rudder provides yaw control" – Turn coordination" – Countering adverse yaw" – Crosswind correction" – Countering yaw due to engine loss" • Strong rolling effect, particularly at high α " • Only control surface whose nominal aerodynamic angle is zero" • Possible nonlinear effect at low deflection angle" • Insensitivity at high supersonic speed" – Wedge shape, all-moving surface on North American X-15" Martin B-57! Bell X-2! Rudder Has Mechanical As Well as Aerodynamic Effects " ! American Airlines 587 takeoff behind Japan Air 47, Nov. 12, 2001" ! Excessive periodic commands to rudder caused vertical tail failure" Japan B-747!American A-300! http://www.usatoday.com/story/travel/flights/2012/11/19/airbus-rudder/1707421/! NTSB Simulation of American Flight 587 " ! Flight simulation derived from digital flight data recorder (DFDR) tape" Control Mechanization Effects Control Mechanization Effects" • Fabric-covered control surfaces (e.g., DC-3, Spitfire) subject to distortion under air loads, changing stability and control characteristics" • Control cable stretching" • Elasticity of the airframe changes cable/pushrod geometry" • Nonlinear control effects" – friction" – breakout forces" – backlash" Douglas DC-3! Supermarine ! Spitfire! Nonlinear Control Mechanism Effects" • Friction" • Deadzone" Control Mechanization Effects" • Breakout force" • Force threshold" B-52 Control Compromises to Minimize Required Control Power " • Limited-authority rudder, allowed by " – Low maneuvering requirement " – Reduced engine-out requirement (1 of 8 engines) " – Crosswind landing gear" • Limited-authority elevator, allowed by " – Low maneuvering requirement " – Movable stabilator for trim" – Fuel pumping to shift center of mass" • Small manually controlled "feeler" ailerons with spring tabs " – Primary roll control from powered spoilers, minimizing wing twist" Internally Balanced Control Surface" ! B-52 application" ! Control-surface fin with flexible seal moves within an internal cavity in the main surface" ! Differential pressures reduce control hinge moment" C H ≈ C H α α + C H δ δ + C H pilot input Boeing B-52! B-52 Rudder Control Linkages" B-52 Mechanical Yaw Damper" • Combined stable rudder tab, low-friction bearings, small bobweight, and eddy-current damper for B-52" • Advantages" – Requires no power, sensors, actuators, or computers" – May involve simple mechanical components" • Problems" – Misalignment, need for high precision" – Friction and wear over time" – Jamming, galling, and fouling" – High sensitivity to operating conditions, design difficulty" [...]... T-45! Next Time: Flight Testing for Stability and Control Reading Flight Dynamics, 419-428 Aircraft Stability and Control, Ch 3 Virtual Textbook, Part 17 Trailing-Edge Bevel Balance " Supplementary! Material! • Bevel has strong effect on aerodynamic hinge moments" • See discussion in Abzug and Larrabee! C H ≈ C Hα α + C Hδ δ + C H pilot input Control Tabs " Control Flap Carryover Effect on Lift Produced... Fortunately, the test aircraft had a spin chute" MIL-DTL-9490E, Flight Control Systems - Design, Installation and Test of Piloted Aircraft, General Specification for, 22 April 2008 " " Superseded for new designs on same date by SAE-AS94900 " ! http://www.sae.org/servlets/works/documentHome.do?comtID=TEAA6A3&docID=AS94900&inputPage=dOcDeTaIlS Powered Flight Control Systems " • Early powered systems had a single... load factor" Pitch-command/attitude-hold" Flight path angle" Princeton Variable-Response Research Aircraft! USAF AFTI/F-16! United Flight 232, DC-10
Sioux City, IA, 1989 " • • • Pilot maneuvered on differential control of engines to make a runway approach" 101 people died" 185 survived" Propulsion Controlled Aircraft " • • • Proposed backup attitude control in event of flight control system failure"... path control at low approach speeds " • requires throttle use " • could not be accomplished with pitch control alone " Vought A-7! – Engine response time is slow" – Flight test of direct lift control (DLC), using ailerons as flaps" • Approach power compensation for A-7 Corsair II and direct lift control studied using Princeton’s VariableResponse Research Aircraft" Princeton VRA! Direct-Lift/Drag Control. .. "conventional" manual controls" – Flying qualities with manual control often unacceptable" • Reversion typically could not be undone" – Gearing change between control stick and control to produce acceptable pilot load" – Flying qualities changed during a highstress event" • Hydraulic system failure was common" • Alternative to eject in military aircraft" – Redundancy was needed" Advanced Control Systems "... Model)* Flight Path Angle! Pitch Rate! Pitch Angle! Angle of Attack! * p 524, Flight Dynamics" Root Locus Analysis of Angular " Feedback to Thrust (4th-Order Model) Flight Path Angle! Pitch Angle! Pitch Rate! Angle of Attack! Direct-Lift Control- Approach Power Compensation " • F-8 Crusader " Direct Lift and Propulsion Control Vought F-8! – Variable-incidence wing, better pilot visibility" – Flight. .. Restores control forces to those of an "honest" airplane" – "q-feel" modifies force gradient" – Variation with trim stabilizer angle" – Bobweight responds to gravity and to normal acceleration" • Fly-by-wire/light system" B-47! – Minimal mechanical runs" – Command input and feedback signals drive servo actuators" – Fully powered systems" – Move from hydraulic to electric power" United Flight 232,... 2002! Mechanical and Augmented Control Systems " • Mechanical system" – Push rods, bellcranks, cables, pulleys" • Power boost" – Pilot's input augmented by hydraulic servo that lowers manual force" • Fully powered (irreversible) system" – No direct mechanical path from pilot to controls" – Mechanical linkages from cockpit controls to servo actuators" " Boeing 777 Fly-By-Wire Control System "... hydraulic to electric power" United Flight 232, DC-10
Sioux City, IA, 1989 " Control- Configured Vehicles " • • Command/stability augmentation" Lateral-directional response" – – – – – • USAF F-15 IFCS! • Uncontained engine failure damaged all three flight control hydraulic systems (http://en.wikipedia.org/wiki/United_Airlines _Flight_ 232)" Bank without turn" Turn without bank" Yaw without lateral translation"... geared tabs" – Tab is linked to the main surface in opposition to control motion, reducing the hinge moment with little change in control effect" from Schlichting & Truckenbrodt! • Flying tabs" – Pilot's controls affect only the tab, whose hinge moment moves the control surface" • Linked tabs" – divide pilot's input between tab and main surface" • Spring tabs " C Lδ E C Lα vs cf xf + cf – put . only.! http://www.princeton.edu/~stengel/MAE331.html ! http://www.princeton.edu/~stengel/FlightDynamics.html ! • Control surfaces" • Control mechanisms" • Flight control systems& quot; Design for Control& quot; • Elevator/stabilator: pitch control& quot; • . F-15! Critical Issues for Control& quot; • Command and control of the control surfaces" – Displacements, forces, and hinge moments of the control mechanisms" – Dynamics of control linkages. for mechanical dynamics& quot; δ E = Control Surface Dynamics and Aerodynamics Aerodynamic and Mechanical Moments on Control Surfaces" • Increasing size and speed of aircraft leads
Ngày đăng: 04/07/2014, 19:28
Xem thêm: Aircraft Flight Dynamics Robert F. Stengel Lecture16 Aircraft Control Devices and Systems, Aircraft Flight Dynamics Robert F. Stengel Lecture16 Aircraft Control Devices and Systems