Abstract:Abstract: Based on acoustic similarity law, dimensionless coefficients are obtained when similarity numbers are equal using dimensional theory, and the similar conditions between modle and prototype are given. FEM on structure coupled BEM on fluid are used for the compution of fluid-structure coupling vibration and acoustic radiation of underwater stiffened cylinder. Under similar conditons, numberical calculation shows that geometry similar modle’s shell vibrational acoustic transfer function and it’s spectral peak frequency meet similarity, underwater mode, response of fluid-structure coupling vibration and acoustic radiation all agree with similar relations, and can be accorded with theoretical results.