摘 要：以声学相似性原理为基础，用因次理论得到了在相似准数相等条件下的无因次系数，给出了模型和原型声学相似的条件。采用结构有限元耦合流体边界元方法计算水下相似加肋圆柱壳模型的流固耦合振动和声辐射。数值计算表明在相似条件下几何相似模型的壳体振动声学传递函数及其谱峰频率满足相似性，水下的模态、流固耦合振动响应以及声辐射均满足相似关系，并且与理论结果能够符合。

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.