FIN FLUTTER AND DIVERGENCE VELOCITY FOR SUPERSONIC
FLIGHT Fin flutter analysis for a supersonic high power rocket Copyright © 1999-2022 John Cipolla/AeroRocket ![]() ![]() | MAIN PAGE | RESUME | |
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The flutter velocity
performed for the “Don’t Debate This” high power rocket was
incorrect because the user did not specify the correct supersonic lift
slope (CN_alpha) and center of gravity (CG) location for the fins and
other errors to be discussed.
When proper inputs for airfoil lift slope and CG location are input, the
resulting flutter velocity (UF) of the rocket is determined to be Mach
3.29 and the divergence velocity is Mach 4.30. Therefore, the statement on page 3 of "Taming the N5800: Don't
Debate This" that "FinSim predicted the potential onset of
flutter and divergence well below Mach 3” is totally incorrect. Also, the user
input the incorrect value for pressure (P) at the point of maximum Mach
number. The user assumed a simulation altitude of 4K feet that is the
altitude at the launch point in the Nevada desert. Actually, the correct
simulation altitude should be 11K feet or the altitude above the launch
point at which maximum rocket velocity occurs during launch.
Use the values displayed in Table-2 to
populate the FinSim main screen and fin geometry screen for performing a
flutter velocity and divergence velocity analysis. Make sure to select
NACA TN 4197 Method under the CN-alpha pull down menu to automatically specify the
aerodynamic center (AC). Also, to avoid a common mistake be sure to
input the correct values for fin elastic axis (AE) location and fin
center of gravity (CG) location. Please refer to the screen shots below
for performing a flutter velocity and divergence velocity analysis. Use a similar procedure for other
supersonic fin flutter velocity analyses.
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Methods to Determine Fin Center of Gravity (CG)
and Elastic Axis (EA)![]() Figure-1, Fin model method to determine center of gravity location (xcg = Xcg/2b)
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![]() Figure-3, FinSim main screen
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![]() Figure-4, Fin input geometry screen
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![]() Figure-5, Flutter velocity (UF) computed using Theodorsen method
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![]() Figure-6, Flutter velocity (UF) and divergence velocity (UD) computed using U-g method |