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Aircraft Equations of Motion | |

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Introduction | |

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Reference Frames and Assumptions | |

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Conservation of the Linear Momentum Equations (CLMEs) | |

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Conservation of the Angular Momentum Equations (CAMEs) | |

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Conservation of the Angular Momentum Equations (CAMEs) with Rotor Effects | |

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Euler Angles | |

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Flight Path Equations (FPEs) | |

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Kinematic Equations (KEs) | |

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Gravity Equations (GEs) | |

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Summary of the Aircraft Equations of Motion | |

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Definition of Steady-State and Perturbation Conditions | |

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Aircraft Equations of Motion at Steady-State Conditions | |

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Aircraft Equations of Motion at Perturbed Conditions | |

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Small Perturbation Equations from a Steady-State Level Flight | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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Review of Basic Concepts of Aerodynamic Modeling | |

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Introduction | |

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Review of Key Aerodynamic Characteristics for Wing Sections | |

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Wing Planforms and Wing Lift Curve Slope | |

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Review of the Downwash Effect and Effectiveness of Control Surfaces | |

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Determination of the Aerodynamic Center for Wing and Wing1Fuselage | |

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Approaches to the Modeling of Aerodynamic Forces and Moments | |

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Wind Tunnel Analysis | |

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CFD Analysis | |

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Parameter IDentification from Flight Data | |

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Correlation from Wind Tunnel Data and Empirical "Build-Up" Analysis | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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Modeling of Longitudinal Aerodynamic Forces and Moments | |

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Introduction | |

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Aircraft Stability Axes | |

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Modeling of the Longitudinal Steady-State Aerodynamic Forces and Moment | |

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Modeling of FAX1 | |

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Modeling of FAZ1 | |

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Modeling of MA1 | |

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Aircraft Aerodynamic Center | |

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Summary of the Longitudinal Steady-State Aerodynamic Forces and Moment | |

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Modeling of the Longitudinal Small Perturbation Aerodynamic Forces and Moments | |

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Modeling of (cD1 , cL1 , cm1) | |

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Modeling of ï¿½cDu , cLu , cmu ï¿½ | |

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Modeling of (cDa_ , cLa_ , cma_ ) and (cDq , cLq , cmq) | |

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Summary of Longitudinal Stability and Control Derivatives | |

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Summary | |

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References | |

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Student Sample Problems | |

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Case Study | |

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Short Problems | |

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Problems | |

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Modeling of Lateral Directional Aerodynamic Forces and Moments | |

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Introduction | |

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Modeling of FAY1 | |

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Conceptual Modeling of cYï¿½ | |

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Mathematical Modeling of cYï¿½ | |

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Modeling of cYdA | |

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Modeling of cYdR | |

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Modeling of LA1 | |

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Conceptual Modeling of clï¿½ | |

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Mathematical Modeling of clï¿½ | |

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Modeling of cldA | |

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Modeling of cldR | |

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Modeling of NA1 | |

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Conceptual Modeling of cnï¿½ | |

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Mathematical Modeling of cnï¿½ | |

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Modeling of cndA | |

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Modeling of cndR | |

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Summary of the Lateral Directional Steady-State Force and Moments | |

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Modeling of the Small Perturbation Lateral Directional Aerodynamic Force and Moments | |

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Modeling of cYï¿½_ , cl _ ï¿½ , cn _ ï¿½ | |

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Modeling of cYp | |

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Modeling of clp | |

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Modeling of cnp | |

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Modeling of cYr | |

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Modeling of clr | |

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Modeling of cnr | |

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Summary of Longitudinal and Lateral Directional Aerodynamic Stability and Control Derivatives | |

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Final Overview and Ranking of the Importance of the Aerodynamic Coefficients | |

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Summary of the Modeling of the Longitudinal and Lateral-Directional Aerodynamic Forces and Moments | |

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References | |

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Student Sample Problems | |

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Case Study | |

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Short Problems | |

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Problems | |

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Review of Basic Aircraft Performance and Modeling of Thrust Forces and Moments | |

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Introduction | |

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Review of Different Aircraft Propulsion Systems | |

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Piston Engine (Propeller) Aircraft Engines | |

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Turboprop Aircraft Engines | |

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Turbojet Aircraft Engines | |

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Turbofan Aircraft Engines | |

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Ramjet Aircraft Engines | |

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Review of Basic Aircraft Performance | |

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Power at Level Flight | |

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Maximum Aerodynamic Efficiency | |

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Minimum Aerodynamic Drag | |

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Minimum Power Required | |

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Determination of Power Required | |

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Determination of Power Available | |

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Modeling of the Thrust Forces and Moments | |

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Modeling of the Steady-State Thrust Forces and Moments | |

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Modeling of the Small Perturbation Thrust Forces and Moments | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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Aircraft Stability and Design for Trim Conditions | |

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Introduction | |

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Concept of Aircraft Stability | |

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Criteria for Aircraft Static Stability | |

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Static Stability Criteria #1 (SSC #1) | |

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Static Stability Criteria #2 (SSC #2) | |

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Static Stability Criteria #3 (SSC #3) | |

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Static Stability Criteria #4 (SSC #4) | |

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Static Stability Criteria #5 (SSC #5) | |

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Static Stability Criteria #5, #6, and #7 (SSC #5, SSC #6, SSC #7) | |

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Static Stability Criteria #9 (SSC #9) | |

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Static Stability Criteria #10 (SSC #10) | |

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Longitudinal Analysis of Steady-State Straight Flight | |

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Lift Chart and Trim Diagram | |

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Lift Chart | |

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Trim Diagram | |

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Trim Diagrams for Different Classes of Aircraft | |

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Trim Diagrams for Thrust Axis Above/Below Center of Gravity | |

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Lateral Directional Analysis of Steady-State Straight Flight | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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Solution of the Aircraft Equations of Motion Based on Laplace Transformations and Transfer Functions | |

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Introduction | |

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Application of Laplace Transformations to the Longitudinal Small Perturbation Equations | |

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RouthHurwitz Analysis of the Longitudinal Stability | |

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Longitudinal Dynamic Modes: Short Period and Phugoid | |

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Solution of the Longitudinal Equations | |

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Short Period Approximation | |

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Phugoid Approximation | |

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Summary of the Longitudinal Equations | |

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Application of Laplace Transformations to the Lateral Directional Small Perturbation Equations | |

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RouthHurwitz Analysis of the Lateral Directional Stability | |

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Lateral Directional Dynamic Modes: Rolling, Spiral, and Dutch Roll | |

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Solution of the Lateral Directional Equations | |

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Rolling Approximation | |

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Summary of Lateral Directional Equations | |

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Sensitivity Analysis for the Aircraft Dynamics | |

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Short Period Sensitivity Analysis | |

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Phugoid Sensitivity Analysis | |

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Sensitivity Analysis for the Lateral Directional Parameters | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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State Variable Modeling of the Aircraft Dynamics | |

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Introduction | |

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Introduction to State Variables for Nonlinear Systems | |

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Introduction to State Variables for Linear/Linearized Systems | |

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State Variable Modeling of the Longitudinal Dynamics | |

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State Variable Modeling of the Lateral Directional Dynamics | |

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Augmentation of the Aircraft State Variable Modeling | |

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Modeling of the Altitude ï¿½hï¿½ | |

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Modeling of the Flight Path Angle ï¿½?ï¿½ | |

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Modeling of the Engine Dynamics | |

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Modeling of the Actuator Dynamics | |

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Modeling of the Atmospheric Turbulence | |

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Summary of State Variable Modeling of the Aircraft Dynamics | |

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Summary | |

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References | |

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Student Sample Problems | |

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Problems | |

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Introduction to Modern Flight Simulation Codes | |

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Introduction | |

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Introduction to the Flight Dynamics & Control (FDC) Toolbox | |

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Equations of Motion within the FDC Simulation Environment | |

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FDC Modeling of Beaver Aerodynamic Forces and Moments | |

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Alternative Approach for FDC Modeling of Aerodynamic Forces and Moments | |

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Case Study #1: FDC Modeling of Look-Up Tables Based Aerodynamic Coefficients | |

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FDC Modeling of the Gravity Force | |

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FDC Modeling of the Atmospheric Turbulence Force | |

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FDC Modeling of the Beaver Propulsive Forces and Moments | |

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Case Study #2: FDC Modeling of Propulsive Forces and Moments | |

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Auxiliary FDC Blocks | |

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Additional FDC Blocks | |

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Introduction to the Aerospace Blockset by Mathworks | |

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General Organization of the Aerospace Blockset | |

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Introduction to the Environment Library | |

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Introduction to the Flight Parameters Library | |

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Introduction to the Equations of Motion Library | |

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Introduction to the Aerodynamics Library | |

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Introduction to the Propulsion Library | |

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Introduction to the Utilities Library | |

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Introduction to the Mass Properties Library | |

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Introduction to the Actuators Library | |

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Introduction to the GNC and Animation Libraries | |

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Introduction to AIRLIB | |

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AIRLIB's Strucure | |

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Generic Aircraft Model: Continuous-time Block | |

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Generic Aircraft Model: Discrete-time Block | |

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Collection of Aircraft Models | |

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Alternative Model Implementation | |

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Additional Tools within AIRLIB: The Function 'air3m' | |

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Additional Tools within AIRLIB: The Function 'ab2dv' | |

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Summary | |

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References | |

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Student Sample Problems | |

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Pilot Ratings and Aircraft Handling Qualities | |

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Introduction | |

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Aircraft Flight Envelope | |

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Levels of Aircraft Flying Qualities: Cooper-Harper Pilot Rating | |

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Aircraft Control Authority | |

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Pilot Workload | |

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Pilot Compensation | |

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Levels of Flying Qualities | |

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Classes of Aircraft | |

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Classification of Aircraft Maneuvers and Mission Profile | |

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Flying Quality Requirements for the Longitudinal Dynamics | |

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Longitudinal Control Forces | |

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Requirements for the Damping for the Phugoid Mode | |

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Requirements for the Short Period Mode | |

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Flying Quality Requirements for the Lateral Directional Dynamics | |

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Lateral Directional Control Forces | |

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Requirements for the Dutch Roll Mode | |

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Requirements for the Spiral Mode | |

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Requirements for the Rolling Mode | |

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Requirements for the Roll Control Effectiveness | |

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Additional Requirements for Steady Sideslips | |

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Summary | |

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References | |

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Review of Useful Topics | |

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Review of Vector Operations | |

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Review of Matrix Operations | |

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Review of Center of Gravity and Inertial Properties | |

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Review of Application of Laplace Transform to Linear Constant Coefficients Differential Equations | |

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Review of First and Second Order Systems | |

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Review of Standard Atmospheric Model | |

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Data for Different Aircraft | |

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Introduction | |

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Aircraft 1-Cessna 182 | |

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Aircraft 2-Cessna 310 | |

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Aircraft 3-Beech 99 | |

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Aircraft 4-Cessna T37-A | |

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Aircraft 5-Cessna 620 | |

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Aircraft 6-Learjet 24 | |

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Aircraft 7-Boeing 747-200 | |

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Aircraft 8-SIAI Marchetti S-211 | |

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Aircraft 9-Lockheed F-104 | |

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Aircraft 10-McDonnell Douglas F-4 | |

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Reference | |

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Detailed Drawings for Different Aircraft | |

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Introduction | |

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Aircraft 1-Aeritalia Fiat G-91 | |

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Aircraft 2-Beech 99 | |

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Aircraft 3-Boeing B52 | |

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Aircraft 4-Boeing B727-200 | |

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Aircraft 5-Boeing B737-600 | |

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Aircraft 6-Boeing B747-200 | |

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Aircraft 7-Boeing B757-200 | |

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Aircraft 8-Boeing B767-200 | |

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Aircraft 9-Cessna Citation CJ3 | |

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Aircraft 10-Cessna T37 | |

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Aircraft 11-General Dynamics F-16 | |

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Aircraft 12-Grumman F-14 | |

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Aircraft 13-Learjet 24 | |

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Aircraft 14-Lockheed F-104 | |

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Aircraft 15-Lockheed F-22 | |

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Aircraft 16-Lockheed L-1011 | |

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Aircraft 17-McDonnell Douglas C-17 | |

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Aircraft 18-McDonnell Douglas DC-8 | |

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Aircraft 19.1-McDonnell Douglas DC-9 Series 10 | |

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Aircraft 19.2-McDonnell Douglas DC-9 Series 30 | |

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Aircraft 19.3-McDonnell Douglas DC-9 Series 40 | |

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Aircraft 19.4-McDonnell Douglas DC-9 Series 50 | |

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Aircraft 20-McDonnell Douglas DC-10 | |

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Aircraft 21-McDonnell Douglas F-4 | |

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Aircraft 22-McDonnell Douglas F-15 | |

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Aircraft 23-Rockwell B-1 | |

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Aircraft 24-SIAI Marchetti S211 | |

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Aircraft 25-Supermarine Spitfire | |

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Index | |