Mechanics of Flight. Warren F. Phillips. John Wiley & Sons, Inc. Professor Mechanical and Aerospace Engineering Utah State University WILEY

Size: px
Start display at page:

Download "Mechanics of Flight. Warren F. Phillips. John Wiley & Sons, Inc. Professor Mechanical and Aerospace Engineering Utah State University WILEY"

Transcription

1 Mechanics of Flight Warren F. Phillips Professor Mechanical and Aerospace Engineering Utah State University WILEY John Wiley & Sons, Inc.

2 CONTENTS Preface Acknowledgments xi xiii 1. Overview of Aerodynamics Introduction and Notation Fluid Statics and the Atmosphere The Boundary Layer Concept Inviscid Aerodynamics Review of Elementary Potential Flows Incompressible Flow over Airfoils Trailing-Edge Flaps and Section Flap Effectiveness Incompressible Flow over Finite Wings Flow over Multiple Lifting Surfaces Inviscid Compressible Aerodynamics Compressible Subsonic Flow Supersonic Flow Problems Overview of Propulsion 2.1. Introduction 2.2. The Propeller 2.3. Propeller Blade Theory 2.4. Propeller Momentum Theory 2.5. Off-Axis Forces and Moments Developed by a Propeller 2.6. Turbojet Engines: The Thrust Equation 2.7. Turbojet Engines: Cycle Analysis 2.8. The Turbojet Engine with Afterburner 2.9. Turbofan Engines Concluding Remarks Problems Aircraft Performance Introduction Thrust Required Power Required Rate of Climb and Power Available Fuel Consumption and Endurance Fuel Consumption and Range Power Failure and Gliding Flight Airspeed, Wing Loading, and Stall 279 vii

3 VIII Contents 3.9. The Steady Coordinated Turn Takeoff and Landing Performance Accelerating Climb and Balanced Field Length Problems Longitudinal Static Stability and Trim Fundamentals of Static Equilibrium and Stability Pitch Stability of a Cambered Wing Simplified Pitch Stability Analysis for a Wing-Tail Combination Stick-Fixed Neutral Point and Static Margin Estimating the Downwash Angle on an Aft Tail Simplified Pitch Stability Analysis for a Wing-Canard Combination Effects of Drag and Vertical Offset Contribution of the Fuselage and Nacelles Contribution of Running Propellers Contribution of Jet Engines Problems Lateral Static Stability and Trim Introduction Yaw Stability and Trim Estimating the Sidewash Gradient on a Vertical Tail Estimating the Lift Slope for a Vertical Tail Roll Stability and Dihedral Effect Roll Control and Trim Requirements Longitudinal-Lateral Coupling Control Surface Sign Conventions Problems Aircraft Controls and Maneuverability 6.1. Longitudinal Control and Maneuverability 6.2. Effects of Structural Flexibility 6.3. Control Force and Trim Tabs 6.4. Stick-Free Neutral and Maneuver Points 6.5. Ground Effect, Elevator Sizing, and CG Limits 6.6. Stall Recovery 6.7. Lateral Control and Maneuverability 6.8. Aileron Reversal 6.9. Other Control Surface Configurations Airplane Spin Problems 7. Aircraft Equations of Motion 7.1. Introduction 7.2. Newton's Second Law for Rigid-Body Dynamics

4 Contents IX 7.3. Position and Orientation: The Euler Angle Formulation Rigid-Body 6-DOF Equations of Motion Linearized Equations of Motion Force and Moment Derivatives Nondimensional Linearized Equations of Motion Transformation of Stability Axes Inertial and Gyroscopic Coupling Problems Linearized Longitudinal Dynamics Fundamentals of Dynamics: Eigenproblems Longitudinal Motion: The Linearized Coupled Equations Short-Period Approximation Long-Period Approximation Pure Pitching Motion Summary Problems Linearized Lateral Dynamics Introduction Lateral Motion: The Linearized Coupled Equations Roll Approximation Spiral Approximation Dutch Roll Approximation Pure Rolling Motion Pure Yawing Motion Longitudinal-Lateral Coupling Nonlinear Effects Summary Problems Aircraft Handling Qualities and Control Response Introduction Pilot Opinion Dynamic Handling Quality Prediction Response to Control Inputs Nonlinear Effects and Longitudinal-Lateral Coupling Problems Aircraft Flight Simulation Introduction Euler Angle Formulations Direction-Cosine Formulation Euler Axis Formulation The Euler-Rodrigues Quaternion Formulation 874

5 Contents Quaternion Algebra Relations between the Quaternion and Other Attitude Descriptors Applying Rotational Constraints to the Quaternion Formulation Closed-Form Quaternion Solution for Constant Rotation Numerical Integration of the Quaternion Formulation Summary of the Flat-Earth Quaternion Formulation Aircraft Position in Geographic Coordinates Problems 928 Bibliography 931 Appendixes 941 A Standard Atmosphere, SI Units 941 B Standard Atmosphere, English Units 942 Index 943

FLIGHT DYNAMICS. Robert F. Stengel. Princeton University Press Princeton and Oxford

FLIGHT DYNAMICS. Robert F. Stengel. Princeton University Press Princeton and Oxford FLIGHT DYNAMICS Robert F. Stengel Princeton University Press Princeton and Oxford Preface XV Chapter One Introduction 1 1.1 ELEMENTS OF THE AIRPLANE 1 Airframe Components 1 Propulsion Systems 4 1.2 REPRESENTATIVE

More information

Fundamentals of Airplane Flight Mechanics

Fundamentals of Airplane Flight Mechanics David G. Hull Fundamentals of Airplane Flight Mechanics With 125 Figures and 25 Tables y Springer Introduction to Airplane Flight Mechanics 1 1.1 Airframe Anatomy 2 1.2 Engine Anatomy 5 1.3 Equations of

More information

AEROSPACE ENGINEERING

AEROSPACE ENGINEERING AEROSPACE ENGINEERING Subject Code: AE Course Structure Sections/Units Topics Section A Engineering Mathematics Topics (Core) 1 Linear Algebra 2 Calculus 3 Differential Equations 1 Fourier Series Topics

More information

Introduction to Flight

Introduction to Flight l_ Introduction to Flight Fifth Edition John D. Anderson, Jr. Curator for Aerodynamics, National Air and Space Museum Smithsonian Institution Professor Emeritus University of Maryland Me Graw Higher Education

More information

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS M.Tech. Curriculum

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS M.Tech. Curriculum DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS M.Tech. Curriculum SEMESTER I AS5010 Engg. Aerodyn. & Flt. Mech. 3 0 0 3 AS5020 Elements of Gas Dyn. & Propln. 3 0 0 3 AS5030 Aircraft and Aerospace Structures

More information

Flight Dynamics, Simulation, and Control

Flight Dynamics, Simulation, and Control Flight Dynamics, Simulation, and Control For Rigid and Flexible Aircraft Ranjan Vepa CRC Press Taylor & Francis Group Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an

More information

Chapter 5 Performance analysis I Steady level flight (Lectures 17 to 20) Keywords: Steady level flight equations of motion, minimum power required,

Chapter 5 Performance analysis I Steady level flight (Lectures 17 to 20) Keywords: Steady level flight equations of motion, minimum power required, Chapter 5 Performance analysis I Steady level flight (Lectures 17 to 20) Keywords: Steady level flight equations of motion, minimum power required, minimum thrust required, minimum speed, maximum speed;

More information

Aircraft Performance, Stability and control with experiments in Flight. Questions

Aircraft Performance, Stability and control with experiments in Flight. Questions Aircraft Performance, Stability and control with experiments in Flight Questions Q. If only the elevator size of a given aircraft is decreased; keeping horizontal tail area unchanged; then the aircraft

More information

Introduction to Flight Dynamics

Introduction to Flight Dynamics Chapter 1 Introduction to Flight Dynamics Flight dynamics deals principally with the response of aerospace vehicles to perturbations in their flight environments and to control inputs. In order to understand

More information

Introduction to Aircraft Flight. Mechanics

Introduction to Aircraft Flight. Mechanics Introduction to Aircraft Flight. Mechanics i Performance, Static Stability, Dynamic Stability, Classical Feedback Control, and State-Space Foundations Second Edition Thomas R. Yechout with contributions

More information

Flight Dynamics and Control. Lecture 3: Longitudinal stability Derivatives G. Dimitriadis University of Liege

Flight Dynamics and Control. Lecture 3: Longitudinal stability Derivatives G. Dimitriadis University of Liege Flight Dynamics and Control Lecture 3: Longitudinal stability Derivatives G. Dimitriadis University of Liege Previously on AERO0003-1 We developed linearized equations of motion Longitudinal direction

More information

Chapter 4 The Equations of Motion

Chapter 4 The Equations of Motion Chapter 4 The Equations of Motion Flight Mechanics and Control AEM 4303 Bérénice Mettler University of Minnesota Feb. 20-27, 2013 (v. 2/26/13) Bérénice Mettler (University of Minnesota) Chapter 4 The Equations

More information

PRINCIPLES OF FLIGHT

PRINCIPLES OF FLIGHT 1 Considering a positive cambered aerofoil, the pitching moment when Cl=0 is: A infinite B positive (nose-up). C negative (nose-down). D equal to zero. 2 The angle between the aeroplane longitudinal axis

More information

Aircraft Design I Tail loads

Aircraft Design I Tail loads Horizontal tail loads Aircraft Design I Tail loads What is the source of loads? How to compute it? What cases should be taken under consideration? Tail small wing but strongly deflected Linearized pressure

More information

/ m U) β - r dr/dt=(n β / C) β+ (N r /C) r [8+8] (c) Effective angle of attack. [4+6+6]

/ m U) β - r dr/dt=(n β / C) β+ (N r /C) r [8+8] (c) Effective angle of attack. [4+6+6] Code No: R05322101 Set No. 1 1. (a) Explain the following terms with examples i. Stability ii. Equilibrium. (b) Comment upon the requirements of stability of a i. Military fighter aircraft ii. Commercial

More information

Chapter 1 Lecture 2. Introduction 2. Topics. Chapter-1

Chapter 1 Lecture 2. Introduction 2. Topics. Chapter-1 Chapter 1 Lecture 2 Introduction 2 Topics 1.4 Equilibrium of airplane 1.5 Number of equations of motion for airplane in flight 1.5.1 Degrees of freedom 1.5.2 Degrees of freedom for a rigid airplane 1.6

More information

Aircraft Flight Dynamics & Vortex Lattice Codes

Aircraft Flight Dynamics & Vortex Lattice Codes Aircraft Flight Dynamics Vortex Lattice Codes AA241X April 14 2014 Stanford University Overview 1. Equations of motion 2. Non-dimensional EOM Aerodynamics 3. Trim Analysis Longitudinal Lateral 4. Linearized

More information

AE Stability and Control of Aerospace Vehicles

AE Stability and Control of Aerospace Vehicles AE 430 - Stability and ontrol of Aerospace Vehicles Static/Dynamic Stability Longitudinal Static Stability Static Stability We begin ith the concept of Equilibrium (Trim). Equilibrium is a state of an

More information

Flight Dynamics and Control

Flight Dynamics and Control Flight Dynamics and Control Lecture 1: Introduction G. Dimitriadis University of Liege Reference material Lecture Notes Flight Dynamics Principles, M.V. Cook, Arnold, 1997 Fundamentals of Airplane Flight

More information

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering Introduction to Aerospace Engineering Lecture slides Challenge the future 1 Introduction Aerospace Engineering Flight Mechanics Dr. ir. Mark Voskuijl 15-12-2012 Delft University of Technology Challenge

More information

Introduction to Atmospheric Flight. Dr. Guven Aerospace Engineer (P.hD)

Introduction to Atmospheric Flight. Dr. Guven Aerospace Engineer (P.hD) Introduction to Atmospheric Flight Dr. Guven Aerospace Engineer (P.hD) What is Atmospheric Flight? There are many different ways in which Aerospace engineering is associated with atmospheric flight concepts.

More information

Flight and Orbital Mechanics

Flight and Orbital Mechanics Flight and Orbital Mechanics Lecture slides Challenge the future 1 Flight and Orbital Mechanics Lecture 7 Equations of motion Mark Voskuijl Semester 1-2012 Delft University of Technology Challenge the

More information

Contents. Preface... xvii

Contents. Preface... xvii Contents Preface... xvii CHAPTER 1 Idealized Flow Machines...1 1.1 Conservation Equations... 1 1.1.1 Conservation of mass... 2 1.1.2 Conservation of momentum... 3 1.1.3 Conservation of energy... 3 1.2

More information

April 15, 2011 Sample Quiz and Exam Questions D. A. Caughey Page 1 of 9

April 15, 2011 Sample Quiz and Exam Questions D. A. Caughey Page 1 of 9 April 15, 2011 Sample Quiz Exam Questions D. A. Caughey Page 1 of 9 These pages include virtually all Quiz, Midterm, Final Examination questions I have used in M&AE 5070 over the years. Note that some

More information

Summer AS5150# MTech Project (summer) **

Summer AS5150# MTech Project (summer) ** AE1 - M.Tech Aerospace Engineering Sem. Course No Course Name Lecture Tutorial Extended Tutorial Afternoon Lab Session Time to be spent outside of class 1 AS5010 Aerodynamics and Aircraft 3 0 0 0 6 9 performance

More information

PART ONE Parameters for Performance Calculations

PART ONE Parameters for Performance Calculations PART ONE Parameters for Performance Calculations As an amateur designer/builder of homebuilt aircraft, you are chief aerodynamicist, structural engineer, dynamicist, mechanic, artist and draftsman all

More information

Performance. 5. More Aerodynamic Considerations

Performance. 5. More Aerodynamic Considerations Performance 5. More Aerodynamic Considerations There is an alternative way of looking at aerodynamic flow problems that is useful for understanding certain phenomena. Rather than tracking a particle of

More information

FUNDAMENTALS OF AERODYNAMICS

FUNDAMENTALS OF AERODYNAMICS *A \ FUNDAMENTALS OF AERODYNAMICS Second Edition John D. Anderson, Jr. Professor of Aerospace Engineering University of Maryland H ' McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas

More information

Stability and Control Some Characteristics of Lifting Surfaces, and Pitch-Moments

Stability and Control Some Characteristics of Lifting Surfaces, and Pitch-Moments 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

More information

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS B. Tech. Curriculum Semester wise credit distribution

DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS B. Tech. Curriculum Semester wise credit distribution DEPARTMENT OF AEROSPACE ENGINEERING, IIT MADRAS B. Tech. Curriculum Semester wise credit distribution I II III IV V VI VII VIII Total 28 22 25 24 25 28 18 14 184 SEMESTER I AS1010 Introduction to Aerospace

More information

Contents. I Introduction 1. Preface. xiii

Contents. I Introduction 1. Preface. xiii Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................

More information

Consider a wing of finite span with an elliptic circulation distribution:

Consider a wing of finite span with an elliptic circulation distribution: Question 1 (a) onsider a wing of finite span with an elliptic circulation distribution: Γ( y) Γo y + b = 1, - s y s where s=b/ denotes the wing semi-span. Use this equation, in conjunction with the Kutta-Joukowsky

More information

Aerospace Engineering

Aerospace Engineering A SET Booklet No. : AS - 15 Aerospace Engineering Duration of Test : Hours Max. Marks : 10 Hall Ticket No. Name of the Candidate : Date of Examination : OMR Answer Sheet No. : Signature of the Candidate

More information

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering 4. Basic Fluid (Aero) Dynamics Introduction to Aerospace Engineering Here, we will try and look at a few basic ideas from the complicated field of fluid dynamics. The general area includes studies of incompressible,

More information

MODIFICATION OF AERODYNAMIC WING LOADS BY FLUIDIC DEVICES

MODIFICATION OF AERODYNAMIC WING LOADS BY FLUIDIC DEVICES Journal of KONES Powertrain and Transport, Vol. 21, No. 2 2014 MODIFICATION OF AERODYNAMIC WING LOADS BY FLUIDIC DEVICES Institute of Aviation Department of Aerodynamics and Flight Mechanics Krakowska

More information

Example of Aircraft Climb and Maneuvering Performance. Dr. Antonio A. Trani Professor

Example of Aircraft Climb and Maneuvering Performance. Dr. Antonio A. Trani Professor Example of Aircraft Climb and Maneuvering Performance CEE 5614 Analysis of Air Transportation Systems Dr. Antonio A. Trani Professor Example - Aircraft Climb Performance Aircraft maneuvering performance

More information

Introduction to Aerospace Engineering

Introduction to Aerospace Engineering Introduction to Aerospace Engineering 5. Aircraft Performance 5.1 Equilibrium Flight In order to discuss performance, stability, and control, we must first establish the concept of equilibrium flight.

More information

Preface. 2 Cable space accelerator 39

Preface. 2 Cable space accelerator 39 Contents Abstract Preface xiii xv 1 Space elevator, transport system for space elevator, 1 and tether system 1.1 Brief history 1 1.2 Short description 2 1.3 Transport system for the space elevator 5 1.4

More information

Degree Project in Aeronautics

Degree Project in Aeronautics DEGREE PROJECT IN VEHICLE ENGINEERING, SECOND CYCLE, 30 CREDITS STOCKHOLM, SWEDEN 2017 Degree Project in Aeronautics Conceptual design, flying and handling qualities of a supersonic transport aircraft.

More information

Rotor reference axis

Rotor reference axis Rotor reference axis So far we have used the same reference axis: Z aligned with the rotor shaft Y perpendicular to Z and along the blade (in the rotor plane). X in the rotor plane and perpendicular do

More information

University of California at Berkeley Department of Mechanical Engineering ME 163 ENGINEERING AERODYNAMICS FINAL EXAM, 13TH DECEMBER 2005

University of California at Berkeley Department of Mechanical Engineering ME 163 ENGINEERING AERODYNAMICS FINAL EXAM, 13TH DECEMBER 2005 University of California at Berkeley Department of Mechanical Engineering ME 163 ENGINEERING AERODYNAMICS FINAL EXAM, 13TH DECEMBER 2005 Answer both questions. Question 1 is worth 30 marks and question

More information

Flight Vehicle Terminology

Flight Vehicle Terminology Flight Vehicle Terminology 1.0 Axes Systems There are 3 axes systems which can be used in Aeronautics, Aerodynamics & Flight Mechanics: Ground Axes G(x 0, y 0, z 0 ) Body Axes G(x, y, z) Aerodynamic Axes

More information

Stability and Control Analysis in Twin-Boom Vertical Stabilizer Unmanned Aerial Vehicle (UAV)

Stability and Control Analysis in Twin-Boom Vertical Stabilizer Unmanned Aerial Vehicle (UAV) International Journal of Scientific and Research Publications, Volume 4, Issue 2, February 2014 1 Stability and Control Analysis in Twin-Boom Vertical Stabilizer Unmanned Aerial Vehicle UAV Lasantha Kurukularachchi*;

More information

A SIMPLIFIED ANALYSIS OF NONLINEAR LONGITUDINAL DYNAMICS AND CONCEPTUAL CONTROL SYSTEM DESIGN

A SIMPLIFIED ANALYSIS OF NONLINEAR LONGITUDINAL DYNAMICS AND CONCEPTUAL CONTROL SYSTEM DESIGN A SIMPLIFIED ANALYSIS OF NONLINEAR LONGITUDINAL DYNAMICS AND CONCEPTUAL CONTROL SYSTEM DESIGN ROBBIE BUNGE 1. Introduction The longitudinal dynamics of fixed-wing aircraft are a case in which classical

More information

Aerospace Engineering undergraduate studies (course 2006)

Aerospace Engineering undergraduate studies (course 2006) Aerospace Engineering undergraduate studies (course 2006) The Bachelor of Science degree final exam problems and questions Specialization administrator: prof. Cezary Galiński Field of Study Aerospace Engineering

More information

Modeling of a Small Unmanned Aerial Vehicle

Modeling of a Small Unmanned Aerial Vehicle Modeling of a Small Unmanned Aerial Vehicle A. Elsayed Ahmed, A. Hafez, A. N. Ouda, H. Eldin Hussein Ahmed, H. Mohamed Abd-Elkader Abstract Unmanned aircraft systems (UAS) are playing increasingly prominent

More information

What is flight dynamics? AE540: Flight Dynamics and Control I. What is flight control? Is the study of aircraft motion and its characteristics.

What is flight dynamics? AE540: Flight Dynamics and Control I. What is flight control? Is the study of aircraft motion and its characteristics. KING FAHD UNIVERSITY Department of Aerospace Engineering AE540: Flight Dynamics and Control I Instructor Dr. Ayman Hamdy Kassem What is flight dynamics? Is the study of aircraft motion and its characteristics.

More information

Aeroelastic Gust Response

Aeroelastic Gust Response Aeroelastic Gust Response Civil Transport Aircraft - xxx Presented By: Fausto Gill Di Vincenzo 04-06-2012 What is Aeroelasticity? Aeroelasticity studies the effect of aerodynamic loads on flexible structures,

More information

Gliding, Climbing, and Turning Flight Performance! Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2016

Gliding, Climbing, and Turning Flight Performance! Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2016 Gliding, Climbing, and Turning Flight Performance! Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2016 Learning Objectives Conditions for gliding flight Parameters for maximizing climb angle and rate

More information

Configuration Aerodynamics

Configuration Aerodynamics Configuration Aerodynamics William H. Mason Virginia Tech Blacksburg, VA The front cover of the brochure describing the French Exhibit at the Montreal Expo, 1967. January 2018 W.H. Mason CONTENTS i CONTENTS

More information

Definitions. Temperature: Property of the atmosphere (τ). Function of altitude. Pressure: Property of the atmosphere (p). Function of altitude.

Definitions. Temperature: Property of the atmosphere (τ). Function of altitude. Pressure: Property of the atmosphere (p). Function of altitude. Definitions Chapter 3 Standard atmosphere: A model of the atmosphere based on the aerostatic equation, the perfect gas law, an assumed temperature distribution, and standard sea level conditions. Temperature:

More information

Design, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I

Design, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I Design, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I Copyright 00 by Dr. Jan Roskam Year of Print, 00 (Errata Revised August

More information

Aerodynamics SYST 460/560. George Mason University Fall 2008 CENTER FOR AIR TRANSPORTATION SYSTEMS RESEARCH. Copyright Lance Sherry (2008)

Aerodynamics SYST 460/560. George Mason University Fall 2008 CENTER FOR AIR TRANSPORTATION SYSTEMS RESEARCH. Copyright Lance Sherry (2008) Aerodynamics SYST 460/560 George Mason University Fall 2008 1 CENTER FOR AIR TRANSPORTATION SYSTEMS RESEARCH Copyright Lance Sherry (2008) Ambient & Static Pressure Ambient Pressure Static Pressure 2 Ambient

More information

Two dimensional rate gyro bias estimation for precise pitch and roll attitude determination utilizing a dual arc accelerometer array

Two dimensional rate gyro bias estimation for precise pitch and roll attitude determination utilizing a dual arc accelerometer array Rochester Institute of Technology RIT Scholar Works Theses Thesis/Dissertation Collections -- Two dimensional rate gyro bias estimation for precise pitch and roll attitude determination utilizing a dual

More information

Missile Interceptor EXTROVERT ADVANCED CONCEPT EXPLORATION ADL P Ryan Donnan, Herman Ryals

Missile Interceptor EXTROVERT ADVANCED CONCEPT EXPLORATION ADL P Ryan Donnan, Herman Ryals EXTROVERT ADVANCED CONCEPT EXPLORATION ADL P- 2011121203 Ryan Donnan, Herman Ryals Georgia Institute of Technology School of Aerospace Engineering Missile Interceptor December 12, 2011 EXTROVERT ADVANCED

More information

( ) (where v = pr ) v V

( ) (where v = pr ) v V Problem # The DOF idealized wing whose cross-section is shown in Figure. has leading edge and trailing edge control surfaces. There is no initial angle of attack when the two control surfaces are undeflected.

More information

Jet Aircraft Propulsion Prof. Bhaskar Roy Prof. A M Pradeep Department of Aerospace Engineering Indian Institute of Technology, Bombay

Jet Aircraft Propulsion Prof. Bhaskar Roy Prof. A M Pradeep Department of Aerospace Engineering Indian Institute of Technology, Bombay Jet Aircraft Propulsion Prof. Bhaskar Roy Prof. A M Pradeep Department of Aerospace Engineering Indian Institute of Technology, Bombay Lecture No. #03 Jet Engine Basic Performance Parameters We are talking

More information

Vishwakarma Institute of Technology. Honors in Aerospace Engineering

Vishwakarma Institute of Technology. Honors in Aerospace Engineering Page 1 of 15 Bansilal Ramnath Agarwal Charitable Trust s Vishwakarma Institute of Technology (An Autonomous Institute affiliated to Savitribai Phule Pune University formerly University of Pune) Structure

More information

ν δ - 1 -

ν δ - 1 - ν δ - 1 - δ ν ν δ ν ν - 2 - ρ δ ρ θ θ θ δ τ ρ θ δ δ θ δ δ δ δ τ μ δ μ δ ν δ δ δ - 3 - τ ρ δ ρ δ ρ δ δ δ δ δ δ δ δ δ δ δ - 4 - ρ μ ρ μ ρ ρ μ μ ρ - 5 - ρ τ μ τ μ ρ δ δ δ - 6 - τ ρ μ τ ρ μ ρ δ θ θ δ θ - 7

More information

Stability and Control

Stability and Control Stability and Control Introduction An important concept that must be considered when designing an aircraft, missile, or other type of vehicle, is that of stability and control. The study of stability is

More information

FREQUENCY DOMAIN FLUTTER ANALYSIS OF AIRCRAFT WING IN SUBSONIC FLOW

FREQUENCY DOMAIN FLUTTER ANALYSIS OF AIRCRAFT WING IN SUBSONIC FLOW FREQUENCY DOMAIN FLUTTER ANALYSIS OF AIRCRAFT WING IN SUBSONIC FLOW Ms.K.Niranjana 1, Mr.A.Daniel Antony 2 1 UG Student, Department of Aerospace Engineering, Karunya University, (India) 2 Assistant professor,

More information

MODELING OF A SMALL UNMANNED AERIAL VEHICLE

MODELING OF A SMALL UNMANNED AERIAL VEHICLE MODELING OF A SMALL UNMANNED AERIAL VEHICLE AHMED ELSAYED AHMED Electrical Engineering Dept., Shoubra Faculty of Engineering, Benha University, Qaliuobia, Egypt (Telephone: +201007124097), Email: eng_medoelbanna

More information

Chapter 5 Lecture 19. Performance analysis I Steady level flight 3. Topics. Chapter-5

Chapter 5 Lecture 19. Performance analysis I Steady level flight 3. Topics. Chapter-5 Chapter 5 Lecture 19 Performance analysis I Steady level flight 3 Topics 5.8 Influence of level flight analysis on airplane design 5.9 Steady level flight performance with a given engine 5.10 Steady level

More information

Aero-Propulsive-Elastic Modeling Using OpenVSP

Aero-Propulsive-Elastic Modeling Using OpenVSP Aero-Propulsive-Elastic Modeling Using OpenVSP August 8, 213 Kevin W. Reynolds Intelligent Systems Division, Code TI NASA Ames Research Center Our Introduction To OpenVSP Overview! Motivation and Background!

More information

Gliding, Climbing, and Turning Flight Performance Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2018

Gliding, Climbing, and Turning Flight Performance Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2018 Gliding, Climbing, and Turning Flight Performance Robert Stengel, Aircraft Flight Dynamics, MAE 331, 2018 Learning Objectives Conditions for gliding flight Parameters for maximizing climb angle and rate

More information

Quiz 2 May 18, Statement True False 1. For a turbojet, a high. gives a high thermodynamic efficiency at any compression ratio.

Quiz 2 May 18, Statement True False 1. For a turbojet, a high. gives a high thermodynamic efficiency at any compression ratio. Quiz 2 May 18, 2011 16.50 Propulsion Systems Spring 2011 Two hours, open book, open notes TRUE-FALSE QUESTIONS Justify your answer in no more than two lines. 4 points for correct answer and explanation

More information

Compressible Potential Flow: The Full Potential Equation. Copyright 2009 Narayanan Komerath

Compressible Potential Flow: The Full Potential Equation. Copyright 2009 Narayanan Komerath Compressible Potential Flow: The Full Potential Equation 1 Introduction Recall that for incompressible flow conditions, velocity is not large enough to cause density changes, so density is known. Thus

More information

Application of larger wings to create more lift force in aeroplane Lokendra Bhati 1,Rajat Malviya 2 1 B.E.in mechanical engineering, I.I.ST.

Application of larger wings to create more lift force in aeroplane Lokendra Bhati 1,Rajat Malviya 2 1 B.E.in mechanical engineering, I.I.ST. Application of larger wings to create more lift force in aeroplane Lokendra Bhati 1,Rajat Malviya 2 1 B.E.in mechanical engineering, I.I.ST. Indore, India 2 B.E.in mechanical engineering, I.I.ST. Indore,

More information

StolSpeed Vortex Generators on a Harmon Rocket II Flight Test Report

StolSpeed Vortex Generators on a Harmon Rocket II Flight Test Report StolSpeed Vortex Generators on a Harmon Rocket II Flight Test Report Vernon Little Version 1.1, November 29, 2016 Summary StolSpeed Vortex Generators were installed on a Harmon Rocket II (C-GVRL). Flight

More information

Modelling of Opposed Lateral and Longitudinal Tilting Dual-Fan Unmanned Aerial Vehicle

Modelling of Opposed Lateral and Longitudinal Tilting Dual-Fan Unmanned Aerial Vehicle Modelling of Opposed Lateral and Longitudinal Tilting Dual-Fan Unmanned Aerial Vehicle N. Amiri A. Ramirez-Serrano R. Davies Electrical Engineering Department, University of Calgary, Canada (e-mail: namiri@ucalgary.ca).

More information

Aircraft stability and control Prof: A. K. Ghosh Dept of Aerospace Engineering Indian Institute of Technology Kanpur

Aircraft stability and control Prof: A. K. Ghosh Dept of Aerospace Engineering Indian Institute of Technology Kanpur Aircraft stability and control Prof: A. K. Ghosh Dept of Aerospace Engineering Indian Institute of Technology Kanpur Lecture- 05 Stability: Tail Contribution and Static Margin (Refer Slide Time: 00:15)

More information

Airfoils and Wings. Eugene M. Cliff

Airfoils and Wings. Eugene M. Cliff Airfoils and Wings Eugene M. Cliff 1 Introduction The primary purpose of these notes is to supplement the text material related to aerodynamic forces. We are mainly interested in the forces on wings and

More information

Turn Performance of an Air-Breathing Hypersonic Vehicle

Turn Performance of an Air-Breathing Hypersonic Vehicle Turn Performance of an Air-Breathing Hypersonic Vehicle AIAA Aircraft Flight Mechanics Conference Derek J. Dalle, Sean M. Torrez, James F. Driscoll University of Michigan, Ann Arbor, MI 4809 August 8,

More information

Trim 2D. Holly Lewis University of Colorado Center for Aerospace Structures April 29, 2004

Trim 2D. Holly Lewis University of Colorado Center for Aerospace Structures April 29, 2004 rim D Holly Lewis University of Colorado Center for Aerospace Structures April 9 004 Overview rimming an Aircraft in D Forces and Moments AERO-rimD Assumptions Capabilities Results Conclusions Future wor

More information

Multidisciplinary Design Optimization Of A Helicopter Rotor Blade

Multidisciplinary Design Optimization Of A Helicopter Rotor Blade Ryerson University Digital Commons @ Ryerson Theses and dissertations 1-1-2010 Multidisciplinary Design Optimization Of A Helicopter Rotor Blade Michael G. Leahy Ryerson University Follow this and additional

More information

High Speed Aerodynamics. Copyright 2009 Narayanan Komerath

High Speed Aerodynamics. Copyright 2009 Narayanan Komerath Welcome to High Speed Aerodynamics 1 Lift, drag and pitching moment? Linearized Potential Flow Transformations Compressible Boundary Layer WHAT IS HIGH SPEED AERODYNAMICS? Airfoil section? Thin airfoil

More information

AE 451 Aeronautical Engineering Design I Aerodynamics. Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2017

AE 451 Aeronautical Engineering Design I Aerodynamics. Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2017 AE 451 Aeronautical Engineering Design I Aerodynamics Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2017 Lift curve 2 Lift curve slope 3 Subsonic lift curve slope C Lα = 2 + 4 + AR2 β 2 η

More information

Alternative Expressions for the Velocity Vector Velocity restricted to the vertical plane. Longitudinal Equations of Motion

Alternative Expressions for the Velocity Vector Velocity restricted to the vertical plane. Longitudinal Equations of Motion Linearized Longitudinal Equations of Motion Robert Stengel, Aircraft Flig Dynamics MAE 33, 008 Separate solutions for nominal and perturbation flig paths Assume that nominal path is steady and in the vertical

More information

AE 451 Aeronautical Engineering Design I Aerodynamics. Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2015

AE 451 Aeronautical Engineering Design I Aerodynamics. Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2015 AE 451 Aeronautical Engineering Design I Aerodynamics Prof. Dr. Serkan Özgen Dept. Aerospace Engineering December 2015 Lift curve 2 Lift curve slope 3 Subsonic lift curve slope C Lα = 2 + 4 + AR2 β 2 η

More information

Use of Compliant Hinges to Tailor Flight Dynamics of Unmanned Aircraft

Use of Compliant Hinges to Tailor Flight Dynamics of Unmanned Aircraft JOURNAL OF AIRCRAFT Use of Compliant Hinges to Tailor Flight Dynamics of Unmanned Aircraft Emily A. Leylek and Mark Costello Georgia Institute of Technology, Atlanta, Georgia 30332 DOI: 10.2514/1.C033056

More information

Stability Characteristics of Micro Air Vehicles from Experimental Measurements

Stability Characteristics of Micro Air Vehicles from Experimental Measurements 29th AIAA Applied Aerodynamics Conference 27-3 June 211, Honolulu, Hawaii AIAA 211-3659 Stability Characteristics of Micro Air Vehicles from Experimental Measurements Daniel V. Uhlig and Michael S. Selig

More information

Lecture No. # 09. (Refer Slide Time: 01:00)

Lecture No. # 09. (Refer Slide Time: 01:00) Introduction to Helicopter Aerodynamics and Dynamics Prof. Dr. C. Venkatesan Department of Aerospace Engineering Indian Institute of Technology, Kanpur Lecture No. # 09 Now, I just want to mention because

More information

Q. 1 Q. 25 carry one mark each.

Q. 1 Q. 25 carry one mark each. GATE 015 Q. 1 Q. 5 carry one mark each. Q.1 The partial differential equation (A) linear and first order (C) non-linear and first order u u + = 0 is t x (B) linear and second order (D) non-linear and second

More information

Chapter 1 Introduction (Lectures 1,2 and 3)

Chapter 1 Introduction (Lectures 1,2 and 3) Chapter 1 Introduction (Lectures 1,2 and 3) Keywords : Importance of stability and control analysis ; brief historical background ; basic concepts static stability, dynamic stability, longitudinal, lateral

More information

Syllabus for AE3610, Aerodynamics I

Syllabus for AE3610, Aerodynamics I Syllabus for AE3610, Aerodynamics I Current Catalog Data: AE 3610 Aerodynamics I Credit: 4 hours A study of incompressible aerodynamics of flight vehicles with emphasis on combined application of theory

More information

Aim. Unit abstract. Learning outcomes. QCF level: 6 Credit value: 15

Aim. Unit abstract. Learning outcomes. QCF level: 6 Credit value: 15 Unit T23: Flight Dynamics Unit code: J/504/0132 QCF level: 6 Credit value: 15 Aim The aim of this unit is to develop learners understanding of aircraft flight dynamic principles by considering and analysing

More information

Dynamics and Control Preliminary Examination Topics

Dynamics and Control Preliminary Examination Topics Dynamics and Control Preliminary Examination Topics 1. Particle and Rigid Body Dynamics Meirovitch, Leonard; Methods of Analytical Dynamics, McGraw-Hill, Inc New York, NY, 1970 Chapters 1-5 2. Atmospheric

More information

Index Downloaded by on March 16, DOI: / Book DOI: /4.

Index Downloaded by on March 16, DOI: / Book DOI: /4. Index four-degrees-of-freedom motion simulation, 88 six-dof motion, 141 six-degrees of freedom, 141 accelerations due to changing body axis rotation rates, 54 accelerometers, 95 aerodynamic derivatives

More information

MODELLING AND CONTROL OF A SYMMETRIC FLAPPING WING VEHICLE: AN OPTIMAL CONTROL APPROACH. A Thesis JUSTIN PATRICK JACKSON

MODELLING AND CONTROL OF A SYMMETRIC FLAPPING WING VEHICLE: AN OPTIMAL CONTROL APPROACH. A Thesis JUSTIN PATRICK JACKSON MODELLING AND CONTROL OF A SYMMETRIC FLAPPING WING VEHICLE: AN OPTIMAL CONTROL APPROACH A Thesis by JUSTIN PATRICK JACKSON Submitted to the Office of Graduate Studies of Texas A&M University in partial

More information

Lecture AC-1. Aircraft Dynamics. Copy right 2003 by Jon at h an H ow

Lecture AC-1. Aircraft Dynamics. Copy right 2003 by Jon at h an H ow Lecture AC-1 Aircraft Dynamics Copy right 23 by Jon at h an H ow 1 Spring 23 16.61 AC 1 2 Aircraft Dynamics First note that it is possible to develop a very good approximation of a key motion of an aircraft

More information

Dynamic Modeling of Fixed-Wing UAVs

Dynamic Modeling of Fixed-Wing UAVs Autonomous Systems Laboratory Dynamic Modeling of Fixed-Wing UAVs (Fixed-Wing Unmanned Aerial Vehicles) A. Noth, S. Bouabdallah and R. Siegwart Version.0 1/006 1 Introduction Dynamic modeling is an important

More information

Extended longitudinal stability theory at low Re - Application to sailplane models

Extended longitudinal stability theory at low Re - Application to sailplane models Extended longitudinal stability theory at low Re - Application to sailplane models matthieu.scherrer@free.fr November 26 C L C m C m W X α NP W X V NP W Lift coefficient Pitching moment coefficient Pitching

More information

1. Fluid Dynamics Around Airfoils

1. Fluid Dynamics Around Airfoils 1. Fluid Dynamics Around Airfoils Two-dimensional flow around a streamlined shape Foces on an airfoil Distribution of pressue coefficient over an airfoil The variation of the lift coefficient with the

More information

Flight and Orbital Mechanics

Flight and Orbital Mechanics Flight and Orbital Mechanics Lecture slides Challenge the future 1 Flight and orbital mechanics Flight Mechanics practice questions Dr. ir. Mark Voskuijl 20-11-2013 Delft University of Technology Challenge

More information

Drag Computation (1)

Drag Computation (1) Drag Computation (1) Why drag so concerned Its effects on aircraft performances On the Concorde, one count drag increase ( C D =.0001) requires two passengers, out of the 90 ~ 100 passenger capacity, be

More information

Fundamentals of Aerodynamics

Fundamentals of Aerodynamics Fundamentals of Aerodynamics Fourth Edition John D. Anderson, Jr. Curator of Aerodynamics National Air and Space Museum Smithsonian Institution and Professor Emeritus University of Maryland Me Graw Hill

More information

ANALYSIS OF AUTOPILOT SYSTEM BASED ON BANK ANGLE OF SMALL UAV

ANALYSIS OF AUTOPILOT SYSTEM BASED ON BANK ANGLE OF SMALL UAV ANALYSIS OF AUTOPILOT SYSTEM BASED ON BANK ANGLE OF SMALL UAV MAY SAN HLAING, ZAW MIN NAING, 3 MAUNG MAUNG LATT, 4 HLA MYO TUN,4 Department of Electronic Engineering, Mandalay Technological University,

More information

Design, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I

Design, Analysis and Research Corporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight Controls Part I Design, Analysis and Research orporation (DARcorporation) ERRATA: Airplane Flight Dynamics and Automatic Flight ontrols Part I opyright 995 by Dr. Jan Roskam Year of Print, 995 (Errata Revised August 7,

More information

Robot Dynamics Fixed-wing UAVs: Dynamic Modeling and Control

Robot Dynamics Fixed-wing UAVs: Dynamic Modeling and Control Robot Dynamics Fixed-wing UAVs: Dynamic Modeling and Control 151-0851-00 V Marco Hutter, Roland Siegwart, and Thomas Stastny 05.12.2017 1 Contents Fixed-wing UAVs 1. ntroduction 2. Aerodynamic Basics 3.

More information

Aircraft Structures Design Example

Aircraft Structures Design Example University of Liège Aerospace & Mechanical Engineering Aircraft Structures Design Example Ludovic Noels Computational & Multiscale Mechanics of Materials CM3 http://www.ltas-cm3.ulg.ac.be/ Chemin des Chevreuils

More information