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Join me and take your knowledge of tensor flight dynamics to the next higher level.
After some historical background and definitions, tensor algebra lays the foundation for the tensorial treatment of flight dynamics, together with the two pillars of kinematics, namely the rotational time derivative and Euler’s transformation.
Newton’s Second Law, expressed in an invariant tensor form, independent of coordinate systems, gives rise to three-, five-, and six degrees-of-freedom equations-of-motions.
Join me and take your knowledge of tensor flight dynamics to the next higher level.
After some historical background and definitions, tensor algebra lays the foundation for the tensorial treatment of flight dynamics, together with the two pillars of kinematics, namely the rotational time derivative and Euler’s transformation.
Newton’s Second Law, expressed in an invariant tensor form, independent of coordinate systems, gives rise to three-, five-, and six degrees-of-freedom equations-of-motions.
Euler’s Law provides the attitude equations-of-motion, and insight into the strange behavior of gyrodynamics, as experienced by pilots flying single-engine aircraft.
While the introductory treatment of tensor flight dynamics starts with rigid bodies, here, at the advanced level, I apply the dynamic laws first to particles and then combine them to form rigid bodies.
Of great importance to engineers is my perturbation technique that leads to linearized state equations. This tensorial approach enables the formulation of the perturbation equations-of-motion not only for steady, but also for unsteady reference flight. And the expansion of aerodynamic derivatives to higher orders permits the treatment of nonlinear aerodynamic phenomena.
Practice makes perfect by solving the three problems after each lecture. For verification and for assistance the detailed solutions are included.
The content of this course is based on the graduate lectures I gave at the University of Florida over a span of 15 years.
After my introduction you will appreciate the broad scope of the course, its special terminology, and its foundations based on the Principle of Material Indifference and Einstein's Covariance Principle. You can also download from Resources the topics of the 30 Problems you will be solving.
Remember your high-school algebra? Now you will extend it to Cartesian tensors (just the bare essentials).
You will appreciate that frames and coordinate systems are entirely different entities.
This second order tensor will enable you to do amazing things.
With kinematics the groundwork is laid for the transactional equation-of-motion.
You will get to know how to derive your own three-, five-, and six degrees equations-of-motion.
How to calculate the moment-of-inertia and, in conjunction with the angular velocity, formulate the angular momentum, which is the backbone of Euler's law.
By joining Euler's attitude equations to Newton's translational equations you model the full dynamics of your aerospace vehicle.
Precession and nutation will lose their mysteries and impulse control becomes a viable option.
The full extent of tensor-mania is here on display for you to appreciate its unequaled power.
You will model nonlinear aerodynamics using higher order derivatives.
Finally, you get your state-space equations for controller design, including for unsteady flight.
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Instructor is very knowledgeable.
Difficult problems key for understanding.
Simplifies complex dynamics derivation.
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