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can you just assume the fuel acts as a mass loading on the tank? Each element of the tank has a column of fuel normal to it to the tank center.

I try to avoid coil spring first axial resonance in liquids coinciding with liquid wave frequencies in pipes. The frequencies of pipe liquids and coil springs in air are easy, but what is fluid loading on the coils? Blevins gives equations for simple plates. Typically 20% down with the liquid...