Lecture 3 - Illinois Institute of Technology

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Static Longitudinal Stability: Conceptual Description Stability of the Equilibrium For a given equilibrium, the aircraft is • Stable if a positive displacement results in negative restoring force. • Unstable if a positive displacement results in a positive force. M. Peet Lecture 3: Nomenclature 24 / 36
Static Longitudinal Stability Dynamics about the Equilibrium Stability is about displacement from equilibrium: ∆α(t) = α(t)−α E Stability Question: Does lim t→∞ ∆α(t) → 0??? The dynamics of the displacement, ∆α are d 2 d2 d2 dt2∆α(t) = dt2α(t)− dt 2α E = ¨α(t) = (C M0 +C Mα α(t)) QSl I = (C M0 +C Mα (∆α(t)+α E )) QSl I C M0 = (C M0 −C Mα +C Mα ∆α(t)) QSl C Mα I QSl = C Mα I ∆α(t). Stability always considers displacement from equilibrium!!! M. Peet Lecture 3: Nomenclature 25 / 36
Page 1 and 2: Spacecraft and Aircraft Dynamics Ma
Page 3 and 4: Next Subject: Lifting Surfaces How
Page 5 and 6: Lifting Surfaces Planform Definitio
Page 7 and 8: Lifting Surfaces Examples M. Peet L
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Page 19 and 20: Airfoils: Examples Earl Airfoil Evo
Page 21 and 22: Big Idea: Static Stability We now i
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Page 29 and 30: Aircraft Incidents: Failure Modes S
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Page 35 and 36: Static Longitudinal Stability Summa

Lecture 3 - Illinois Institute of Technology

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