Static Stability and Control
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6. Aerodynamic-Center Considerations of Wings I
m 6. AERODYNAMIC-CENTER CONSIDERATIONS OF WINGS I AND WING-BODY COMBINATIONS By John E. Lsmar and William J. Afford, Jr. NASA Langley Research Center SUMMARY Aerodynamic-center variations with Mach number are considered for wings of different planform. The normalizing parameter used is the square root of the wing area, which provides a more meaningful basis for comparing the aerodynamic-center shifts than does the mean geometric chord. The theoretical methods used are shown to be adequate for predicting typical aerodynamlc-center shifts, and ways of minimizing the shifts for both fixed and variable-sweep wings are presented. INTRODUCTION In the design of supersonic aircraft, a detailed knowledge of the aerodynamlc-center position is important in order to minimize trim drag, maximize load-factor capability, and provide acceptable handling qualities. One of the principal contributions to the aerodynamic-center movement is the well-known change in load distributionwithMach number in going from subsonic to supersonic speeds. In addition, large aerodynamic-center var- iations are quite often associated with variable-geometry features such as variable wing sweep. The purpose of this paper is to review the choice of normalizing param- eters and the effects of Mach number on the aerodynamic-center movement of rigid wing-body combinations at low lift. For fixed wings the effects of both conventional and composite planforms on the aerodynamic-center shift are presented, and for variable-sweepwings the characteristic movements of aerodynamlc-center position wlth pivot location and with variable-geometry apex are discussed. Since systematic experimental investigations of the effects of planform on the aerodynamic-center movement with Mach number are still limited, the approach followed herein is to establish the validity of the computative processes by illustrative comparison wlth experiment and then to rely on theory to show the systematic variations. -
CHAPTER TWO - Static Aeroelasticity – Unswept Wing Structural Loads and Performance 21 2.1 Background
Static aeroelasticity – structural loads and performance CHAPTER TWO - Static Aeroelasticity – Unswept wing structural loads and performance 21 2.1 Background ........................................................................................................................... 21 2.1.2 Scope and purpose ....................................................................................................................... 21 2.1.2 The structures enterprise and its relation to aeroelasticity ............................................................ 22 2.1.3 The evolution of aircraft wing structures-form follows function ................................................ 24 2.2 Analytical modeling............................................................................................................... 30 2.2.1 The typical section, the flying door and Rayleigh-Ritz idealizations ................................................ 31 2.2.2 – Functional diagrams and operators – modeling the aeroelastic feedback process ....................... 33 2.3 Matrix structural analysis – stiffness matrices and strain energy .......................................... 34 2.4 An example - Construction of a structural stiffness matrix – the shear center concept ........ 38 2.5 Subsonic aerodynamics - fundamentals ................................................................................ 40 2.5.1 Reference points – the center of pressure..................................................................................... 44 2.5.2 A different -
An Aerodynamic Comparative Analysis of Airfoils for Low-Speed Aircrafts
Published by : International Journal of Engineering Research & Technology (IJERT) http://www.ijert.org ISSN: 2278-0181 Vol. 5 Issue 11, November-2016 An Aerodynamic Comparative Analysis of Airfoils for Low-Speed Aircrafts Sumit Sharma B.E. (Mechanical) MPCCET, Bhilai, C.G., India M.E. (Thermal) SSCET, SSGI, Bhilai, C.G., India Abstract - This paper presents investigation on airfoil S1223, NACA4412 at specified boundary conditions, A S819, S8037 and S1223 RTL at low speeds to find out the most comparison is done between results obtained from CFD suitable airfoil design to be used in the low speed aircrafts. simulation in ANSYS and results obtained from an The method used for analysis of airfoils is Computational experiment done in the wind tunnel. The comparative Fluid Dynamics (CFD). The numerical simulation of low result shows that, the result from experiment and from speed and high-lift airfoil has been done using ANSYS- FLUENT (version 16.2) to obtain drag coefficient, lift CFD simulation showing close agreement between these coefficient, coefficient of moment and Lift-to-Drag ratio over two methods. So, the CFD simulation using ANSYS- the airfoils for the comparative analysis of airfoils. The S1223 FLUENT can be used as an relative alternative to RTL airfoil has been chosen as the most suitable design for experimental method in determining drag and lift. the specified boundary conditions and the Mach number from 0.10 to 0.30. Jasminder Singh et al [2] (June- 2015), Analysis is done on NACA 4412 and Seling 1223 airfoils using Computational Key words: CFD, Lift, Drag, Pitching, Lift-to-Drag ratio. -
Lifting Surface Lift and Pitch Considerations
Stability and Control Some Characteristics of Lifting Surfaces, and Pitch-Moments The lifting surfaces of a vehicle generally include the wings, the horizontal and vertical tail, and other surfaces such as canards, winglets, etc. What they all have in common is that there purpose is to create an aerodynamic force and moment. Whether the surface is infinite (2-D) or finite (3-D), we can assign to it a force and moment. Usually we designate a 2-D lifting surface as an airfoil, and a 3-D lifting surface as a wing (or tail, or winglet, of whatever). Here all lifting surfaces will be assigned the name - wing. Generally the information concerning forces and moments on a wing are determined from wind tunnel tests or from computer codes. Unlike a force, a moment must be referred to a specific reference point. Often time the information given is not referenced to the point of your interest. Consequently we would like to be able to convert results referenced to one point to equivalent information with respect to a different reference point. We will later use these same ideas applied to a complete aircraft. Consider two identical wings mounted in a wind tunnel. One wing is supported at point A, and the other at point B. At each of these support points there is an electronic “balance” used to measure the forces and moments acting on the wing at those respective points. For simplicity the wings will be represented as flat plates. Si nce the wings are identical we can expect that the aerodynamic forces will be the same. -
Preliminary Design and CFD Analysis of a Fire Surveillance Unmanned Aerial Vehicle Luis E
TFAWS-08-1034 Preliminary Design and CFD Analysis of a Fire Surveillance Unmanned Aerial Vehicle Luis E. Casas1, Jon M. Hall1, Sean A. Montgomery1, Hiren G. Patel1, Sanjeev S. Samra1, Joe Si Tou1, Omar Quijano2, Nikos J. Mourtos3, Periklis P. Papadopoulos3 Aerospace Engineering San Jose State University One Washington Square San Jose, CA, 95192-0087 The Spartan Phoenix is an Unmanned Aerial Vehicle (UAV) designed for fire surveillance. It was inspired by the summer 2007 wildfires in Greece and California that caused billions of dollars in damage and claimed hundreds of lives. The Spartan Phoenix will map the perimeter of wildfires and provide real time feedback as to fire location and growth pattern. This paper presents the preliminary design of the UAV along with a CFD study of the horizontal and vertical stabilizers of the aircraft. Both surfaces use a NACA 0012 airfoil. First, the flow field over the airfoil was constructed using a CFD-GEOM grid. Next the grid was imported into CFD-FASTRAN and CFD-ACE to simulate a subsonic flow through the grid. The simulation was run using the Spartan Phoenix freestream conditions of 45 m/s airspeed at 00 angle-of-attack, and 20 m/s airspeed at 80 angle-of-attack, with pressure and temperature at 1 atm and 300 K respectively. The generated CFD solutions compared favorably to published data, solutions generated by the Institute of Computational Fluid Dynamics (iCFD), as well as results obtained from airfoil analysis using Sub2D, a potential flow simulation software. Nomenclature AR = aspect ratio = angle of attack CL = lift coefficient CL,min = lift coefficient for minimum drag CD = drag coefficient CDi = induced drag coefficient CD0 = zero lift drag coefficient CG = center of gravity c = chord length e = Oswald efficiency factor L/D = lift-to-drag ratio UAV = Unmanned Aerial Vehicle I. -
Longitudinal & Lateral Directional Short Course
1 Longitudinal & Lateral Directional Short Course Flight One – Effects of longitudinal stability and control characteristics on handling qualities Background: In this flight training exercise we will examine how longitudinal handling qualities are affected by three important variables that are inherent in a given aircraft design. They are: Static longitudinal stability Dynamic longitudinal stability Elevator control effectiveness As you will recall from your classroom briefings, longitudinal stability is responsible for the frequency response to a disturbance, which can be caused by the atmosphere or an elevator control input. It may be described by two longitudinal oscillatory modes of motion: A Long term response (Phugoid), which is a slow or low frequency oscillation, occurring at a relatively constant angle of attack with altitude and speed variations. This response largely affects the ability to trim for a steady state flight condition. A short term response where a higher frequency oscillation occurs at a relatively constant speed and altitude, but with a change in angle of attack. This response is associated with maneuvering the aircraft to accomplish a closed loop task, such as an instrument approach procedure. If static stability is positive; The long and short period responses will either be convergent or neutral (oscillations) depending on dynamic stability If neutral; The long period will no longer be oscillatory and short period pitch responses will decay to a pitch rate response proportional to the amount of elevator input; If slightly negative (Equivalent of moving CG behind the stick fixed neutral point); In the long period, elevator stick position will reverse, i.e., as speed increases a pull will be required on the elevator followed by a push, and as speed decreases, a push will be required followed by a pull The short period responses will result in a continuous divergence from the trim state. -
Equations for the Application of to Pitching Moments
https://ntrs.nasa.gov/search.jsp?R=19670002485 2020-03-24T02:43:10+00:00Z View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by NASA Technical Reports Server NASA TECHNICAL NOTE NASA TN D-3738 00 M h U GPO PRICE $ c/l U z CFSTl PRICE@) $ ,2biJ I 1 Hard copy (HC) ' (THRU) :: N67(ACCES~ION 11814NUMBER) 5P Microfiche (MF) > Jo(PAGES1 k i ff 853 July 85 2 (NASA CR OR TMX OR AD NUMBER) '- ! EQUATIONS FOR THE APPLICATION OF * WIND-TUNNEL WALL CORRECTIONS TO PITCHING MOMENTS CAUSED BY THE TAIL OF AN AIRCRAFT MODEL by Harry He Heyson Langley Research Center Langley Stdon, Hampton, Vk NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. NOVEMBER 1966 . NASA TN D-3738 EQUATIONS FOR THE APPLICATION OF WIND-TUNNEL WALL CORRECTIONS TO PITCHING MOMENTS CAUSED BY THE TAIL OF AN AIRCRAFT MODEL By Harry H. Heyson Langley Research Center Langley Station, Hampton, Va. NATIONAL AERONAUTICS AND SPACE ADMINISTRATION For sale by the Clearinghouse for Federal Scientific and Technical Information Springfield, Virginia 22151 - Price 61.00 , EQUATIONS FOR THE APPLICATION OF WIND-TUNNEL WALL CORmCTIONS TO PITCHING MOMENTS CAUSED BY THE TAIL OF AN AIRCRAFT MODEL By Harry H. Heyson Langley Research Center SUMMARY Equations are derived for the application of wall corrections to pitching moments due to the tail in two different manners. The first system requires only an alteration in the observed pitching moment; however, its application requires a knowledge of a number of quantities not measured in the usual wind- tunnel tests, as well as assumptions of incompressible flow, linear lift curves, and no stall. -
Introduction to Aircraft Stability and Control Course Notes for M&AE 5070
Introduction to Aircraft Stability and Control Course Notes for M&AE 5070 David A. Caughey Sibley School of Mechanical & Aerospace Engineering Cornell University Ithaca, New York 14853-7501 2011 2 Contents 1 Introduction to Flight Dynamics 1 1.1 Introduction....................................... 1 1.2 Nomenclature........................................ 3 1.2.1 Implications of Vehicle Symmetry . 4 1.2.2 AerodynamicControls .............................. 5 1.2.3 Force and Moment Coefficients . 5 1.2.4 Atmospheric Properties . 6 2 Aerodynamic Background 11 2.1 Introduction....................................... 11 2.2 Lifting surface geometry and nomenclature . 12 2.2.1 Geometric properties of trapezoidal wings . 13 2.3 Aerodynamic properties of airfoils . ..... 14 2.4 Aerodynamic properties of finite wings . 17 2.5 Fuselage contribution to pitch stiffness . 19 2.6 Wing-tail interference . 20 2.7 ControlSurfaces ..................................... 20 3 Static Longitudinal Stability and Control 25 3.1 ControlFixedStability.............................. ..... 25 v vi CONTENTS 3.2 Static Longitudinal Control . 28 3.2.1 Longitudinal Maneuvers – the Pull-up . 29 3.3 Control Surface Hinge Moments . 33 3.3.1 Control Surface Hinge Moments . 33 3.3.2 Control free Neutral Point . 35 3.3.3 TrimTabs...................................... 36 3.3.4 ControlForceforTrim. 37 3.3.5 Control-force for Maneuver . 39 3.4 Forward and Aft Limits of C.G. Position . ......... 41 4 Dynamical Equations for Flight Vehicles 45 4.1 BasicEquationsofMotion. ..... 45 4.1.1 ForceEquations .................................. 46 4.1.2 MomentEquations................................. 49 4.2 Linearized Equations of Motion . 50 4.3 Representation of Aerodynamic Forces and Moments . 52 4.3.1 Longitudinal Stability Derivatives . 54 4.3.2 Lateral/Directional Stability Derivatives . -
Longitudinal Static Stability
Longitudinal Static Stability Some definitions M pitching moment without dimensions C m 1 (so without influence of ρ, V and S) V2 Sc 2 it is a ‘shape’ parameter which varies with the angle of attack. Note the chord c in the denominator because of the unit Nm! L For the wing+aircraft we use the C L 1 surface area of the wing S! VS2 2 L For the tail we use the surface of the tail: SH ! C H LH 1 VS2 2 H Definition of aerodynamic center of a wing: The aerodynamic center (a.c.) is the point around which the moment does not change when the angle of attack changes. We can therefore use Cmac as a constant moment for all angles of attack. The aerodynamic center usually lies around a quarter chord from the leading edge. 1 Criterium for longitudinal static stability (see also Anderson § 7.5): We will look at the consequences of the position of the center of gravity, the wing and the tail for longitudinal static stability. For stability, we need a negative change of the pitching moment if there is a positive change of the angle of attack (and vice versa), so: CC 0 mm 00 0 Graphically this means Cm(α) has to be descending: For small changes we write: dC m 0 d We also write this as: C 0 m 2 When Cm(α) is descending, the Cm0 has to be positive to have a trim point where Cm = 0 and there is an equilibrium: So two conditions for stability: 1) Cm0 > 0; if lift = 0; pitching moment has to be positive (nose up) dC 2) m 0 ( or C 0 ); pitching moment has to become more negative when d m the angle of attack increases Condition 1 is easy to check. -
List of Symbols
List of Symbols a atmosphere speed of sound a exponent in approximate thrust formula ac aerodynamic center a acceleration vector a0 airfoil angle of attack for zero lift A aspect ratio A system matrix A aerodynamic force vector b span b exponent in approximate SFC formula c chord cd airfoil drag coefficient cl airfoil lift coefficient clα airfoil lift curve slope cmac airfoil pitching moment about the aerodynamic center cr root chord ct tip chord c¯ mean aerodynamic chord C specfic fuel consumption Cc corrected specfic fuel consumption CD drag coefficient CDf friction drag coefficient CDi induced drag coefficient CDw wave drag coefficient CD0 zero-lift drag coefficient Cf skin friction coefficient CF compressibility factor CL lift coefficient CLα lift curve slope CLmax maximum lift coefficient Cmac pitching moment about the aerodynamic center CT nondimensional thrust T Cm nondimensional thrust moment CW nondimensional weight d diameter det determinant D drag e Oswald’s efficiency factor E origin of ground axes system E aerodynamic efficiency or lift to drag ratio EO position vector f flap f factor f equivalent parasite area F distance factor FS stick force F force vector F F form factor g acceleration of gravity g acceleration of gravity vector gs acceleration of gravity at sea level g1 function in Mach number for drag divergence g2 function in Mach number for drag divergence H elevator hinge moment G time factor G elevator gearing h altitude above sea level ht altitude of the tropopause hH height of HT ac above wingc ¯ h˙ rate of climb 2 i unit vector iH horizontal -
Aerodynamic Center1 Suppose We Have the Forces and Moments
Aerodynamic Center1 Suppose we have the forces and moments specified about some reference location for the aircraft, and we want to restate them about some new origin. N ~ L N ~ L M AAM z ref new x x ref xnew M ref = Pitching moment about xref M new = Pitching moment about xnew xref = Original reference location xnew = New origin N = Normal force ≈ L for small ∝ A = Axial force ≈ D for small ∝ Assuming there is no change in the z location of the two points: MxxLMref=−() new − ref + new Or, in coefficient form: xx− new ref CCCmLM=− + ref cN new mean ac.. The Aerodynamic Center is defined as that location xac about which the pitching moment doesn’t change with angle of attack. How do we find it? 1 Anderson 1.6 & 4.3 Aerodynamic Center Let xnew= x ac Using above: ()xx− CCC=−ac ref + M refc LM ac Differential with respect to α : ∂CM xx− ∂C ref ac ref ∂CL M ac =− + ∂∂∂αααc By definition: ∂CM ac = 0 ∂α Solving for the above ∂C xxac− ref M ref ∂C =−L , or c ∂∂αα ∂C xxac− ref x ref M ref =− ccC∂ L Example: Consider our AVL calculations for the F-16C • xref = 0 - Moment given about LE ∂C • Compute M ref for small range of angle of attack by numerical ∂CL differences. I picked αα= −=300 to 3. x • This gave ac ≈ 2.89 . c x ∂C • Plotting Cvsα about ac shows M ≈ 0 . M c ∂α ∂C Note that according to the AVL predictions, not only is M ≈=0 @ x 2.89 , but ∂α ac also that CM = 0 . -
Federal Aviation Regulations (FAR) 23 Harmonization Working Group
Federal Aviation Administration Aviation Rulemaking Advisory Committee General Aviation Certification and Operations Issue Area JAR/FAR 23 Harmonization Working Group Task 5 – Airframe Task Assignment IIIII~IMIIirt•·•·llllllllll .. ll .. lllllllllt•r•::rlrllllllllllllllllllllllllllllllllllll~ to aDd 6:01Bpatible witla tlaat as8ipecl ao D. Draft a separate Notice of Proposed Federal Aviation Admlnlatnitlon the Avi.ation RulemakiJJs Advisory Rulemakina for Tasks 2-5 proposing CoiMriHee. The General Avielion and new or revised requirements, a Aviation Rulemaklng Advlaory Business AU-plaae Subcommittee, supportina economic analysis. and other Commmee; Gener11l Av.. tlon 8IKI consequently, estalliiebed t8e JAR/FAR required analysis, with any other Buslne.. Airplane SubcommlttH: Z3 HannenizatiOit Workiat Greup. conateral documeRts (sucb as. Advisory JAR/FAR 23 HarmonlzaUon Working Specifical1J, dae Work.ina Grevp's Circulars) the Workina Group Group tasb are tbe foliowing: The JAR/FAR 23 determines to be needed. Harmonization Working Group ii E. Give a status reporl oa each task at AGENCY: Federal Aviation ct:arged wUh making recommendations each meetina of the Subcommittee. Administration (FAA), DOT. to the General A viatton and Bulinest The JAR/FAR 23 Harmonization ACTION: Notice of establishment of JAR/ Airplane Subcommittee concerning the Working Croup win be comprised of FAR 23 Harmonization Working Group. FAA disposition of the CoDowing experts from those orpnlzations having rulemalcing subj.ecta recently an interest in the task assigned to it. A SUMMARY: Notice is given of the coordinated between ttse JAA 1111d the working group member need not establishment of the JAR/FAR Z3 FAA~ necessarily be a representative or one of Harmonization Working Group by the Task 1-Review/AR Issue$: Review the organizations of the parent General General Aviation and Business Airplane JAR 23 Issue No.