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university of florida thesis or dissertation formatting template

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CHAPTER 2<br />

FLUTTER AND LIMIT CYCLE OSCILLATIONS<br />

Introduction<br />

In this section, the characteristics <strong>of</strong> flutter and limit cycle oscillations (LCO) will be<br />

discussed, as well as techniques f<strong>or</strong> analysis and prediction.<br />

Dynamic Aeroelasticity<br />

Aeroelasticity is <strong>of</strong>ten defined as a science which studies the mutual interaction between<br />

aerodynamic and elastic f<strong>or</strong>ces. 6 Modern aircraft structures are very flexible, and this flexibility<br />

is fundamentally responsible f<strong>or</strong> the various types <strong>of</strong> aeroelastic phenomena. Flexibility may<br />

have advantages f<strong>or</strong> structural design; however, aeroelastic phenomena arise when structural<br />

def<strong>or</strong>mations induce additional aerodynamic f<strong>or</strong>ces. These additional aerodynamic f<strong>or</strong>ces may<br />

then give rise to additional structural def<strong>or</strong>mations which will induce even greater aerodynamic<br />

f<strong>or</strong>ces. Such interactions can either dampen out and lead to a condition <strong>of</strong> stable equilibrium, <strong>or</strong><br />

diverge and destroy the structure. The term aeroelasticity is not completely descriptive since<br />

many imp<strong>or</strong>tant aeroelastic phenomena also involve inertial f<strong>or</strong>ces.<br />

Flutter<br />

Flutter is an instability caused by the aerodynamic f<strong>or</strong>ces coupling with the structural<br />

dynamics. Flutter can occur in any object within a strong fluid flow that results in a positive<br />

feedback occurring between the structure's natural vibration and the aerodynamic f<strong>or</strong>ces. If the<br />

energy during the period <strong>of</strong> aerodynamic excitation is larger than the natural damping <strong>of</strong> the<br />

system, the level <strong>of</strong> vibration will increase. The vibration levels are only limited when the<br />

aerodynamic <strong>or</strong> mechanical damping <strong>of</strong> the object matches the energy input, which <strong>of</strong>ten results<br />

in large amplitudes and can lead to rapid failure. Theref<strong>or</strong>e, structures exposed to aerodynamic<br />

f<strong>or</strong>ces are carefully designed to avoid flutter.<br />

20

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