Time-domain analysis for vibration and sound radiation of submerged spherical shell excited by force

<正> The vibration and sound radiation of a submerged spherical shellare studied in the time-domain by Laplace transform method,where a CWpulse force acts at the apex of the shell.The numerical results for the case oflong pulse show that the different vibrational modes and the resonant or beatradiated sound are excited for different carrier-frequencies,but litle sound is ra-diated for some vibrational modes.For the case of short pulse the waveformsof the pulse become widened and deformed,when the pulse propagates betweenapexes of the shell.Then,the Doubly Asymptotic Approximations(DAA2)and Kirchhoff‘s Retarded Potential Formulate (KRPF) are used to solve thesame problem.It is shown that the results of DAA2 and KRPF method have agood agreement with the results of Laplace transform method.