复合圆柱形薄壳在重质流体中声辐射的建模与理论预估(Ⅰ)

Theoretical Prediction of Sound Radiation from DoubleLayerComposite Cylindrical Thin Shell Immersed in Heavy Fluid(Ⅰ)

建立了处于无界可压缩重质流体介质中外贴阻尼层的双层复合圆柱形薄壳声振分析的理论模型．利用模态分析法和Ｎａｖｉｅｒ方程渐近展开法，推导出了内层壳体位移向量模态幅值的理论表达式．这一表达式为今后对该类壳体声辐射的理论预估提供了重要的理论基础．

A theoretical model is developed to evaluate the acoustically vibration of a doublelayer composite thin cylindrical shell with finite length immersed in a heavy fluid of infinite extent. The problem is formulated by making use of the solutions for two semiinfinite cylinders with perfect reflection. Asymptotic expansion of Navier's equations and model analysis are used to determine the displacement modal amplitude of the inner layer of the cylindrical shell. Such an approach is suited for analyzing sound radiation in Part Ⅱ of this work.