L11 - Dynamic Longitudinal Stability Flashcards
what is Phugoid motion?
Long period oscillations
What are the two types of osciallaiton?
Short and long (phugoid)
What are the 6 degrees of freedom?
Longitudinal - X forces, Z forces, pitching moments
Lateral - Y forces, rolling and yawing moments
What are the two types of solution to secnd order differential equations?
Homogenous (free response) and Particular solution (forced response)
What are the three cases of characteristic equation outcome?
Case 1 - Two real roots (overdamped)
Case 2 - 2 complex conjugate (samped sinusoid, underdamped)
Case 3 - real double root (critically damped)
What is x replaces with in second order differentials?
e^gamma*t
What are eigenvalues?
Roots to the characteristic equation
What is phugoid oscilation also knows as?
Dolphining
How can the dynamic stability of the whole aircraft be modelled?
As two coupled mass dampers sytems, for short and long period oscillations.
What effect does moving the cg aft have on stability?
longitundinal modes become aperiodic and eventualy unstable