Longitudinal & Lateral Directional Short Course
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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 . -
Static Stability and Control
CHAPTER 2 Static Stability and Control "lsn't it astonishing that all these secrets have been preserved for so many years just so that we could discover them!" Orville Wright, June 7, 1903 2.1 HISTORICAL PERSPECTIVE By the start of the 20th century, the aeronautical community had solved many of the technical problems necessary for achieving powered flight of a heavier-than-air aircraft. One problem still beyond the grasp of these early investigators was a lack of understanding of the relationship between stability and control as well as the influence of the pilot on the pilot-machine system. Most of the ideas regarding stability and control came from experiments with uncontrolled hand-launched gliders. Through such experiments, it was quickly discovered that for a successful flight the glider had to be inherently stable. Earlier aviation pioneers such as Albert Zahm in the United States, Alphonse Penaud in France, and Frederick Lanchester in England contributed to the notion of stability. Zahm, however, was the first to correctly outline the requirements for static stability in a paper he presented in 1893. In his paper, he analyzed the conditions necessary for obtaining a stable equilibrium for an airplane descending at a constant speed. Figure 2.1 shows a sketch of a glider from Zahm's paper. Zahm concluded that the center of gravity had to be in front of the aerodynamic force and the vehicle would require what he referred to as "longitudinal dihedral" to have a stable equilibrium point. In the terminology of today, he showed that, if the center of gravity was ahead of the wing aerodynamic center, then one would need a reflexed airfoil to be stable at a positive angle of attack. -
Concept of Moving Centre of Gravity for Improved Directional Stability for Automobiles
IJIRST –International Journal for Innovative Research in Science & Technology| Volume 2 | Issue 11 | April 2016 ISSN (online): 2349-6010 Concept Of Moving Centre of Gravity for Improved Directional Stability for Automobiles - Simulation Joseph Sebastian Siyad S UG Student UG Student Department of Mechanical Engineering Department of Mechanical Engineering Saintgits College of Engineering Saintgits College of Engineering Subin Antony Jose Ton Devasia UG Student UG Student Department of Mechanical Engineering Department of Mechanical Engineering Saintgits College of Engineering Saintgits College of Engineering Prof. Sajan Thomas Professor Department of Mechanical Engineering Saintgits College of Engineering Abstract This paper is a study based on the implementation of a new concept in AUTOMOBILE which will help in improving the directional stability and handling characteristics of vehicle. The purpose of this study is to analyze the influence of position of CENTRE OF GRAVITY of a vehicle in its stability in accordance with YAW MOTION, ROLL MOTION, UNDER STEER and OVER STEER. The concept is to implement a mechanism which can bring SHIFTING OF C.G in automobile, as per the conditions. The influence of position of C.G is much bigger for the balancing of forces in dynamic stability of the vehicle. The concept of moving C.G will help to acquire this added stability to the vehicle even in the worst conditions.The directional stability of a vehicle is influenced by the steering angle and slip angle of the tire to an extent. It is possible to have a variation in these values by the shifting of CG. The designing of a convenient mechanism which helps in achieving the movement of the mass (either by pumping a high density fluid or my movement of a solid block by mechanical linkage) is to be done and have to be tested in a real time vehicle. -
Stability and Control
Stability and Control AE460 Aircraft Design Greg Marien Lecturer Introduction Complete Aircraft wing, tail and propulsion configuration, Mass Properties, including MOIs Non-Dimensional Derivatives (Roskam) Dimensional Derivatives (Etkin) Calculate System Matrix [A] and eigenvalues and eigenvectors Use results to determine stability (Etkin) Reading: Nicolai - CH 21, 22 & 23 Roskam – VI, CH 8 & 10 Other references: MIL-STD-1797/MIL-F-8785 Flying Qualities of Piloted Aircraft Airplane Flight Dynamics Part I (Roskam) 2 What are the requirements? Evaluate your aircraft for meeting the stability requirements See SRD (Problem Statement) for values • Flight Condition given: – Airspeed: M = ? – Altitude: ? ft. – Standard atmosphere – Configuration: ? – Fuel: ?% • Longitudinal Stability: – CmCGα < 0 at trim condition – Short period damping ratio: ? – Phugoid damping ratio: ? • Directional Stability: – Dutch roll damping ratio: ? – Dutch roll undamped natural frequency: ? – Roll-mode time constant: ? – Spiral time to double amplitude: ? 3 Derivatives • For General Equations of Unsteady Motions, reference Etkin, Chapter 4 • Assumptions – Aircraft configuration finalized – All mass properties are known, including MOI – Non-Dimensional Derivatives completed for flight condition analyzed – Aircraft is a rigid body – Symmetric aircraft across BL0, therefore Ixy=Iyz = 0 – Axis of spinning rotors are fixed in the direction of the body axis and have constant angular speed – Assume a small disturbance • Results in the simplified Linear Equations of Motion… -
Assessment of Tire Features for Modeling Vehicle Stability in Case of Vertical Road Excitation
applied sciences Article Assessment of Tire Features for Modeling Vehicle Stability in Case of Vertical Road Excitation Vaidas Lukoševiˇcius*, Rolandas Makaras and Andrius Dargužis Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu˛Str. 56, 44249 Kaunas, Lithuania; [email protected] (R.M.); [email protected] (A.D.) * Correspondence: [email protected] Abstract: Two trends could be observed in the evolution of road transport. First, with the traffic becoming increasingly intensive, the motor road infrastructure is developed; more advanced, greater quality, and more durable materials are used; and pavement laying and repair techniques are im- proved continuously. The continued growth in the number of vehicles on the road is accompanied by the ongoing improvement of the vehicle design with the view towards greater vehicle controllability as the key traffic safety factor. The change has covered a series of vehicle systems. The tire structure and materials used are subject to continuous improvements in order to provide the maximum possi- ble grip with the road pavement. New solutions in the improvement of the suspension and driving systems are explored. Nonetheless, inevitable controversies have been encountered, primarily, in the efforts to combine riding comfort and vehicle controllability. Practice shows that these systems perform to a satisfactory degree only on good quality roads, as they have been designed specifically for the latter. This could be the cause of the more complicated car control and accidents on the lower-quality roads. Road ruts and local unevenness that impair car stability and traffic safety are not Citation: Lukoševiˇcius,V.; Makaras, avoided even on the trunk roads. -
Advanced Problems of Lateral-Directional Dynamics
12/4/18 Advanced Problems of Lateral- Directional Dynamics Robert Stengel, Aircraft Flight Dynamics MAE 331, 2018 Learning Objectives • 4th-order dynamics – Steady-state response to control – Transfer functions – Frequency response – Root locus analysis of parameter variations • Residualization Flight Dynamics 595-627 Copyright 2018 by Robert Stengel. All rights reserved. For educational use only. http://www.princeton.edu/~stengel/MAE331.html 1 http://www.princeton.edu/~stengel/FlightDynamics.html Stability-Axis Lateral-Directional Equations With idealized aileron and rudder effects (i.e., NδA = LδR = 0) ⎡ ⎤ Nr Nβ N p 0 ⎡ Δr!(t) ⎤ ⎢ ⎥⎡ Δr(t) ⎤ ⎡ ~ 0 N ⎤ ⎢ ⎥ Y ⎢ ⎥ δ R ! ⎢ β g ⎥ ⎢ ⎥ ⎢ Δβ(t) ⎥ −1 0 ⎢ Δβ(t) ⎥ 0 0 ⎡ Δδ A ⎤ = ⎢ V V ⎥ + ⎢ ⎥ ⎢ ⎥ ⎢ N N ⎥⎢ ⎥ ⎢ ⎥⎢ ⎥ Δp!(t) Δp(t) Lδ A ~ 0 ⎣ Δδ R ⎦ ⎢ ⎥ ⎢ L L L 0 ⎥⎢ ⎥ ⎢ ⎥ ⎢ Δφ!(t) ⎥ r β p Δφ(t) 0 0 ⎣ ⎦ ⎢ ⎥⎣⎢ ⎦⎥ ⎣⎢ ⎦⎥ ⎢ 0 0 1 0 ⎥ ⎣ ⎦ " % " % Δx1 " Δr % Yaw Rate Perturbation $ ' $ ' $ ' " % " % $ Δx2 ' Δβ $ Sideslip Angle Perturbation ' Δu1 " Δδ A % Aileron Perturbation = $ ' = $ ' = = $ ' $ ' $ p ' $ ' $ ' Δx3 Δ Roll Rate Perturbation Δu Δδ R Rudder Perturbation $ ' $ ' $ ' #$ 2 &' # & #$ &' $ Δx ' Δφ $ Roll Angle Perturbation ' # 4 & #$ &' # & 2 1 12/4/18 Lateral-Directional Characteristic Equation 4 ⎛ Yβ ⎞ 3 Δ LD (s) = s + ⎜ Lp + Nr + ⎟ s ⎝ VN ⎠ ⎡ Y Y ⎤ N L N L β N ⎛ β L ⎞ s2 + ⎢ β − r p + p V + r ⎜ V + p ⎟ ⎥ ⎣ N ⎝ N ⎠ ⎦ ⎡Yβ g ⎤ + (Lr N p − Lp Nr ) + Lβ N p − s ⎣⎢ VN ( VN )⎦⎥ g + Lβ Nr − Lr Nβ VN ( ) 4 3 2 = s + a3s + a2s + a1s + a0 = 0 Typically factors into real spiral and roll roots and an oscillatory -
X-29A Lateral–Directional Stability and Control Derivatives Extracted from High-Angle-Of- Attack Flight Data
NASA Technical Paper 3664 December 1996 X-29A Lateral–Directional Stability and Control Derivatives Extracted From High-Angle-of- Attack Flight Data Kenneth W. Iliff Kon-Sheng Charles Wang NASA Technical Paper 3664 1996 X-29A Lateral–Directional Stability and Control Derivatives Extracted From High-Angle-of- Attack Flight Data Kenneth W. Iliff Dryden Flight Research Center Edwards, California Kon-Sheng Charles Wang SPARTA, Inc. Lancaster, California National Aeronautics and Space Administration Office of Management Scientific and Technical Information Program CONTENTS Page ABSTRACT . 1 NOMENCLATURE . 1 Acronyms . 1 Symbols . 1 INTRODUCTION . 3 FLIGHT PROGRAM OVERVIEW . 4 VEHICLE DESCRIPTION . 5 INSTRUMENTATION AND DATA ACQUISITION . 7 PREDICTIONS AND ENVELOPE EXPANSION METHODS . 8 PARAMETER IDENTIFICATION METHODOLOGY . 9 RESULTS AND DISCUSSION. 13 Sideslip Derivatives . 14 Aileron Derivatives. 15 Rudder Derivatives . 16 Rotary Derivatives . 16 Aerodynamic and Instrumentation Biases . 17 CONCLUDING REMARKS . 18 REFERENCES . 19 FIGURES 1. X-29A aircraft, number 2 . 22 2. Three-view drawing of the X-29A showing major dimensions . 23 3. The maximum likelihood estimation concept with state and measurement noise . 24 4. Time-history data for a typical high-AOA, lateral–directional, PID maneuver . 25 5. Sideslip derivatives as functions of AOA . 28 6. Aileron derivatives as functions of AOA . 29 7. Rudder derivatives as functions of AOA . 31 8. Rotary derivatives as functions of AOA . 32 9. Aerodynamic and instrumentation biases as functions of AOA . 34 iii ABSTRACT The lateral–directional stability and control derivatives of the X-29A number 2 are extracted from flight data over an angle-of-attack range of 4° to 53° using a parameter identification algorithm. -
Stability and Control Flight Testing of the Dassault Falcon 10/100 By
Stability and Control Flight Testing of the Dassault Falcon 10/100 by Andres Mauricio Alarcon Vega A thesis submitted to the College of Engineering and Science of Florida Institute of Technology in partial fulfillment of the requirements for the degree of Master of Science in Flight Test Engineering Melbourne, Florida May 2021 We the undersigned committee hereby approve the attached thesis, “Stability and Control Flight Testing of the Dassault Falcon 10/100” by Andres Mauricio Alarcon Vega _________________________________________________ Brian A. Kish, Ph.D. Associate Professor Aerospace, Physics and Space Sciences Major Advisor _________________________________________________ Markus Wilde, Dr.-Ing. Associate Professor Aerospace, Physics and Space Sciences Committee Member _________________________________________________ Isaac Silver, Ph.D. Test Pilot Energy Management Aerospace LLC Committee Member _________________________________________________ David Fleming, Ph.D. Associate Professor and Department Head Aerospace, Physics and Space Sciences Abstract Title: Stability and Control Flight Testing of the Dassault Falcon 10/100 Author: Andres Mauricio Alarcon Vega Advisor: Brian A. Kish, Ph.D. The Falcon 10/100 is a transport category aircraft developed by Dassault Aviation in 1971. Production of the aircraft ceased in 1989, but it remains available on the secondhand market. Certification for these types of aircraft follow FAR Part 25 of the code of federal regulations. Aircraft stability and control flying qualities are dependent on the mission profile and intended use case of the aircraft. External factors, such as turbulence, are relevant for transport category aircraft because poor stability could affect the flying characteristics and result in an unpleasant ride. On the other hand, in a trimmed condition, an aircraft with strong positive stability has a greater resistance to disturbances. -
Electronic Stability Control Systems
Transport Canada Transports Canada Safety and Security Sécurité et sûreté Road Safety Sécurité routière Standards and Regulations Division TECHNICAL STANDARDS DOCUMENT No. 126, Revision 0 Electronic Stability Control Systems The text of this document is based on Federal Motor Vehicle Safety Standard No. 126, Electronic Stability Control Systems, as published in the U.S. Code of Federal Regulations, Title 49, Part 571, revised as of October 1, 2007, as well as the Final Rule published in the Federal Register on September 22, 2008 (Vol. 73, No. 184, p. 54526). Effective Date: Month ##, 200# Mandatory Compliance Date: September 1, 2011 Standards Research and Development Branch Road Safety and Motor Vehicle Regulation Directorate TRANSPORT CANADA Ottawa, Ontario K1A 0N5 Technical Standards Document Number 126, Revision 0 Electronic Stability Control Systems (Ce document est aussi disponible en français.) Introduction As defined by section 12 of the Motor Vehicle Safety Act, a Technical Standards Document (TSD) is a document that reproduces an enactment of a foreign government (e.g. a Federal Motor Vehicle Safety Standard issued by the U.S. National Highway Traffic Safety Administration). According to the Act, the Motor Vehicle Safety Regulations may alter or override some provisions contained in a TSD or specify additional requirements; consequently, it is advisable to read a TSD in conjunction with the Act and its counterpart Regulation. As a guide, where the corresponding Regulation contains additional requirements, footnotes indicate the amending subsection number. TSDs are revised from time to time in order to incorporate amendments made to the reference document, at which time a Notice of Revision is published in the Canada Gazette, Part I. -
Research Requirements for Determining Car Handling Characteristics
Research Requirements for Determining Car Handling Characteristics JOHN VERSACE and LYMAN M. FORBES, Ford Motor Company Distinction is made between handling, which is the behavior of a car-man combination in actual driving, and other variables, such as vehicle directional response properties and vehicle component designs. The relation between car-man handling be havior and safety (as indicated by the frequency and extent of accident injuries and fatalities) is discernible in accident sta tistics. But the relation of the car-only portion (its directional response properties) to the frequency of accidents and conse quently to the extent of injuries and fatalities is largely unknown. Furthermore, the relation of the vehicle response properties to actual handling in the driving population is poorly known, partly because of difficulties in defining handling with sufficient objectivity to allow for its measurement. The paper briefly summarizes present practice in the development of car design to a handling criterion, and presents some basic considerations for research studies that will relate handling behavior to vehicle properties. A history of the recent interest in relating handling to vehicle properties is also included. •IF one reads the sports car magazines it may seem that a lot is known about car han dling and that performance requirements for handling could be set up easily. In a sense this is true because vehicle planners do indeed specify handling requirements and vehi cles are designed and developed to meet them. However, two aspects of the matter cause difficulty. First, there is no sure trans formation of what is now mainly subjective knowledge obtained through long and intimate experience into quantitative, objective, instrumental procedures for unambiguous mea surement and assessment of handling quality. -
Axes and Derivatives
Flightlab Ground School 1. Axes and Derivatives Copyright Flight Emergency & Advanced Maneuvers Training, Inc. dba Flightlab, 2009. All rights reserved. For Training Purposes Only Figure 1 Lift Vector Aircraft Axes X body axis “Roll axis” + right α X wind axis, Velocity Vector + up Z wind axis Y body axis “Pitch axis” + right For the aircraft below, the x-z plane (plane of symmetry) is the Z body axis surface of the paper. “Yaw axis” z x Introduction Aircraft Axes If you didn’t much care for symbols, formulas, The dashed lines in Figure 1 describe an and coefficients back in primary ground school, aircraft’s x-y-z fixed body axes, emanating from the following may raise warning signals. Ignore the center of gravity. This system, with the them and don’t be a wimp. You’ll want to mutually perpendicular axes in fixed reference to understand the axis system and also to take a the aircraft, is the one most pilots recognize. The look at the tables of aerodynamic derivatives exact alignment is a bit arbitrary. Boeing sets the (which we’ll review in person, as well). The x-axis parallel to the floorboards in its aircraft. derivatives break aircraft behavior down to cause and effect, giving the engineers lots to calculate The geometrical plane that intersects both the x and giving us the terms needed to evaluate and z body axes is called the plane of symmetry, aircraft in an informed, qualitative way—a way since a standard aircraft layout is symmetrical that links the demands of airmanship to the left and right (Figure 1, bottom). -
Development of a Vehicle Stability Control Strategy for a Hybrid Electric Vehicle Equipped with Axle Motors DISSERTATION Present
Development of a Vehicle Stability Control Strategy for a Hybrid Electric Vehicle Equipped With Axle Motors DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in the Graduate School of The Ohio State University By Kerem Bayar, B.S., M.S. Graduate Program in Mechanical Engineering The Ohio State University 2011 Dissertation Committee: Prof. Giorgio Rizzoni, Adviser Prof. Junmin Wang, Co-adviser Prof. Dennis Guenther Dr. Gary Heydinger Dr. Michael Pennell © Copyright by Kerem Bayar 2011 Abstract Hybrid-electric vehicles have been available to consumers for over a decade, and plug-in hybrid and pure electric vehicles are rapidly becoming mainstream products with the introduction of vehicles such as the Chevrolet Volt and the Nissan Leaf in 2011. These vehicles have in common an electric powertrain, comprised of one or more electric motors and of a battery pack which in the case of hybrid vehicles supplements and internal combustion engine. It is well understood that hybrid and electric vehicles have the benefit of significant reduction in CO2 emissions and in the use of petroleum as a fuel. However, one additional benefit of hybrid and electric vehicles remains so far under-utliized: the use of the electric traction system to enhance vehicle stability control. This potentially or low cost feature could provide additional motivation for customers to choose hybrid or electric vehicles over conventional ones. This dissertation documents the conception and development of a novel control strategy to allocate braking and tractive forces in a hybrid electric vehicle equipped with axle motors, for the purpose of enhancing the vehicle stability control system.