U's are interesting with respect to resonances. We usually think in terms of the 1/4 wave resonance where the 1/4 wave frequency is C/(4L). Thus, for my 18" NaO U the 1/4 wave frequency would be 188 Hz. As you can see, it is actually significantly lower. However, when the u-resonance is correctly calculated, considering the length and cross-sectional area (assuming circular cross section) the resonances comes out very close to that measured.

When the length is about 1/2 the diameter of the u the resonances looks like this:

Lower yet in frequency and lower in amplitude.
If we look at a 6" long U, 1 foot in diameter we have:

The magnitude of the peak is set by the ratio of L to D, and the frequency by L and L/D.
The above simulations used a high Q driver to make the resonance peak more apparent. Returning the the NaO configuration and a driver with Q and Fs of the NaO U I get,

which is in pretty good agreement with the measurement. Adding damping yields

[edit... Please note that all the curves show only the response form the back exit of the u and not the summation witht he front radiation. ]