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Full Description
Many textbooks are unable to step outside the classroom and connect with industrial practice, and most describe difficult-to-rationalize ad hoc derivations of the modal parameters. In contrast, Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods uses an optimal mix of physical insight and mathematical presentation to lead students to the heart of professional aircraft flight dynamics in a pleasant and informative manner. Presenting an updated version of the aerodynamic model with the corrected definition of the rate (dynamic) derivatives, the book is peppered with examples of real-life airplanes, real airplane data, and solved examples. It plunges directly into the core concepts of aircraft flight dynamics with minimal mathematical fuss. When the 6-degree-of-freedom equations are presented in the final chapter, the students are already familiar with most of the physical concepts and the math is easier to absorb. Aimed at junior and senior undergraduate students, this book covers recent developments in airplane flight dynamics and introduces bifurcation and continuation methods as a tool for flight dynamic analysis. Designed to help students make the transition from classroom calculations to the real-world of computational flight dynamics, it offers a practical perspective, enhanced by the inclusion of an open source computational tool.
Contents
IntroductionWhat, Why and How?Aircraft as a Rigid BodySix Degrees of FreedomPosition, Velocity and AnglesAircraft Motion in WindLongitudinal Flight DynamicsLongitudinal Dynamics EquationsA Question of TimescalesLongitudinal TrimAerodynamic Coefficients CD, CL, CmWing-Body TrimStability ConceptLinear First-Order SystemLinear Second-Order SystemNonlinear Second-Order SystemPitch Dynamics about Level Flight TrimModelling Small-Perturbation AerodynamicsPitch Dynamics about Level Flight Trim (Contd.)Short-Period Frequency and DampingForced ResponseResponse to Pitch ControlLongitudinal Trim and StabilityWing-Body Trim and StabilityWing-Body Plus Tail: Physical ArgumentsWing-Body Plus Tail: Math ModelRole of DownwashNeutral PointReplacing VH with VH / Effect of CG MovementRear CG Limit due to Airplane Loading and Configuration at Take-OffCm, CL Curves-Non-LinearitiesLongitudinal ControlAll-Moving TailElevatorTail Lift with ElevatorAirplane Lift Coefficient with ElevatorAirplane Pitching Moment Coefficient with ElevatorElevator Influence on Trim and StabilityLongitudinal Manoeuvres with the ElevatorMost Forward CG LimitNP Determination from Flight TestsEffect of NP Shift with Mach NumberLong-Period (Phugoid) DynamicsPhugoid Mode EquationsEnergyPhugoid Mode PhysicsPhugoid Small-Perturbation EquationsAerodynamic Modelling with Mach NumberPhugoid DynamicsPhugoid Mode Frequency and DampingAccurate Short-Period and Phugoid ApproximationsDerivative CmMaDerivative Cmq1 in Pitching MotionDerivative Cmq1 in Phugoid MotionFlow Curvature EffectsLateral-Directional MotionReviewDirectional Disturbance AnglesDirectional versus Longitudinal FlightLateral Disturbance AnglesLateral-Directional Rate VariablesSmall-Perturbation Lateral-Directional EquationsLateral-Directional TimescalesLateral-Directional Aerodynamic DerivativesLateral-Directional Small-Perturbation Equations (Contd.)........ 202Lateral-Directional Dynamics ModesLateral-Directional Dynamic ModesRoll (Rate) ModeRoll Damping Derivative Clp2Roll ControlAileron Control Derivative, Cl aYaw due to Roll ControlAileron Input for a Bank AngleDutch Roll ModeDirectional Derivatives CY and Cn Lateral Derivative: Cl Damping Derivatives: Cnr1 and Clr1Rudder ControlSpiral ModeReal-Life Airplane DataComputational Flight DynamicsAircraft Equations of MotionDerivation of Aircraft Equations of Motion3-2-1 RuleDerivation of Aircraft Equations of Motion (Contd.)Numerical Analysis of Aircraft MotionsStandard Bifurcation AnalysisExtended Bifurcation Analysis
