EAE4240_-_Flight_Vehicle_Dynamics
Tawfik Platform
This course synthesizes three foundational modules covering the complete spectrum of flight vehicle dynamics. The first module establishes core aerodynamic principles, including the four forces of flight, airfoil theory, finite wing aerodynamics with induced drag, and longitudinal static stability, culminating in the calculation of neutral point and static margin. The second module builds dynamic systems analysis from single-degree-of-freedom mass-spring-damper models through multi-degree-of-freedom systems, introducing state-space representation, numerical integration, and optimal control via…
Course outline
Foundations
This module synthesizes foundational aerodynamics, flight mechanics, and longitudinal static stability to establish the core principles underlying aircraft flight dynamics. It begins with a review of the four forces of flight, airfoil geometry, thin airfoil theory, and finite win…
- Review This review module synthesizes foundational aerodynamics with finite wing theory to establish the core principles underlying flight dynamics and stability. It begins by revisiting the four forces of flight in equilibrium, the nature of drag, and fluid interaction through pressure…
- Performance This Topic on 'Performance' covers two foundational lessons in flight mechanics. The first lesson, 'System of Coordinates', transitions from aerodynamics to the macroscopic study of aircraft motion, introducing key modeling assumptions (Point Mass Model, Flat Non-Rotating Earth M…
- Stability This content covers the principles of longitudinal static stability in aircraft, focusing on the moment coefficient derivation and its practical implications. The core concept is that an aircraft's inherent tendency to return to equilibrium after a disturbance is governed by the …
Dynamics and Control
This module covers the complete progression of dynamic systems analysis and control, from single degree of freedom (SDOF) fundamentals through to multi-degree of freedom (MDOF) systems. It begins with the mass-spring-damper model as the core mathematical language, deriving the SD…
- Single Degree of Freedom This topic covers the fundamental principles of single degree of freedom (SDOF) dynamic systems, primarily using the mass-spring-damper model as the core mathematical language for flight control and vibration analysis. It begins with the strategic determination of tail incidence …
- Solving the Equations This topic covers the complete methodology for solving the equations of motion for single degree of freedom (SDOF) discrete systems, specifically mass-spring-damper models. It begins with the analytical solution of the second-order linear differential equation m\ddot{x} + c\dot{x…
- Multiple Degrees of Freedom This content covers the transition from Single Degree of Freedom (SDOF) to Multi-Degree of Freedom (MDOF) systems, focusing on a 2-DOF mass-spring-damper chain model. It systematically derives coupled equations of motion using Newton's Second Law and Free Body Diagrams, emphasizi…
Aircraft Equation of Motion
This module covers the complete process of deriving, linearizing, and modeling aircraft equations of motion. It begins with Newton's Second Law and rotating frame kinematics to develop the full nonlinear six-degree-of-freedom (6-DOF) rigid-body dynamics, including the moment of i…
- Equations of Motion This course topic covers the complete process of deriving and linearizing the six-degree-of-freedom equations of motion for aircraft. It begins with Newton's Second Law and rotating frame kinematics to develop the full nonlinear rigid-body dynamics, including the moment of inerti…
- State Space Model This topic covers the modeling and control of aircraft dynamics using state-space representations. It begins with linearizing nonlinear equations of motion via small-perturbation theory to derive full longitudinal and lateral-directional state-space models, incorporating stabilit…
- Nonlinear Equations This topic covers the complete derivation, analysis, and numerical implementation of nonlinear six-degree-of-freedom (6-DOF) equations of motion for rigid aircraft. It begins by establishing the fundamental kinematic and dynamic equations using Earth-fixed and body-fixed coordina…
- Linearization Linearization is a foundational technique in flight dynamics that approximates complex nonlinear aircraft equations of motion with simpler linear models valid near a specific trim condition. The core mathematical tool is the first-order multivariable Taylor series expansion, whic…
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