Two approximate solutions are given for Flu¨gge’s closed cylindrical shell characteristic equation, valid for the lower and higher harmonics, respectively. It is shown that as the harmonic number increases, the roots of Donnell’s characteristic equation do not behave asymptotically like those of the Flu¨gge equation.
An experimental study of water-entry cavitating flows of an end-closed cylindrical shell based on the high-speed imaging technology