Fourier spectrum of the seiches of an ideal rectangular basin with sinusoidally varying level

Summary If the level of an ideal rectangular water basin varies sinusoidally with amplitude 2h ₁ and angular frequency ₀ the modes of the free oscillations of the basin split into multiplets with spacing ₀: the shape and the height of the peaks are given as functions of the mean levelh ₀ and of the lengthl of the basin and of the amplitude 2h ₁.Istituto di Geodesia e Geofisica, Universita' di Trieste, Italy.- This research has been supported by E.R.O.-U.S. Army, under contract DA-91-591-3538.