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LCO amplitude but not the mechanism. The LCO amplitude typically becomes better as tank<br />

fuel is burned and if the AIM-9’s at stations 2/8 are not present.<br />

The second primary type <strong>of</strong> LCO is f<strong>or</strong> configurations with long st<strong>or</strong>es at stations 3/7 and<br />

empty wingtip launchers. This mechanism is less significant operationally since it only occurs<br />

with empty wingtip launchers. Not all <strong>of</strong> the loadings are restricted but many experience LCO to<br />

some degree. The characteristics <strong>of</strong> the mechanism are only antisymmetric and occur around 7-<br />

9Hz. The driving LCO mode is a result <strong>of</strong> the coupling <strong>of</strong> st<strong>or</strong>e pitch and antisymmetric first<br />

wing bending modes. The presence <strong>of</strong> other st<strong>or</strong>es affects the LCO amplitude but not the actual<br />

mechanism. The primary parameter is pitch inertia <strong>of</strong> station 3/7 st<strong>or</strong>es, which controls the<br />

antisymmetric st<strong>or</strong>e pitch frequency. Proximity to the antisymmetric wing bending frequency is<br />

critical.<br />

Current LCO Analysis Techniques<br />

Classical flutter analyses are predominantly used to calculate LCO onset f<strong>or</strong> all the<br />

permutations <strong>of</strong> a given st<strong>or</strong>e configuration. 15-19 These analyses combine 14 a linear structural<br />

solver with a doublet lattice 20 (subsonic) <strong>or</strong> ZONA51 21 (supersonic) aerodynamic method<br />

creating a completely linear method f<strong>or</strong> predicting an inherently nonlinear LCO phenomenon.<br />

This methodology is <strong>of</strong>ten good in predicting frequency, but can be <strong>of</strong>f by as much as 200 knots<br />

in predicting onset speed. 7,12,13 These large err<strong>or</strong>s f<strong>or</strong>ce flutter engineers to rely m<strong>or</strong>e on<br />

experience and interpolation from similar configurations to design flight test parameters. This<br />

uncertainty requires vast resources f<strong>or</strong> each flight test to ensure adequate safety margins. 22 This<br />

results in a large number <strong>of</strong> test points required to clear the margin <strong>of</strong> safety expanded<br />

operational flight envelope, extending the flight flutter testing time, and theref<strong>or</strong>e elevating the<br />

associated costs.<br />

25

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