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Vibrations of and sound radiation from sandwich plates in heavy fluid loading conditions

机译：重载条件下夹心板的振动和声音辐射

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摘要

A problem of forced vibrations of a sandwich plate submerged in a fluid (an acoustic medium) is formulated as a coupled problem of structural acoustics. Two-dimensional (plane) formulation relevant to cylindrical bending of a plate is explored. Dynamics of a sandwich beam (a sandwich plate in cylindrical bending) is described in the framework of the sixth-order theory of multi-layered plates. Asymptotic analysis of the dispersion polynomial is performed in the low frequency and the low module limits for an isolated infinitely long beam. Green's functions for flexural vibrations are obtained analytically and thus explicitly contain the principal parameters of beam's composition. Forced vibrations of a fluid-loaded beam in a rigid baffle are considered. Both the interaction between an acoustic medium and a plate and the interaction between a plate and its boundaries are described by boundary integral equations assembled in a two-level system. Eigenfrequencies of a fluid-loaded beam are detected by maximum of the radiated acoustic power. A semi-analytical sensitivity analysis of the objective function selected as a radiated acoustic power to the parameters of beam's composition is performed.
机译：浸入到流体（声学介质）中的夹层板的强迫振动问题被表述为结构声学的耦合问题。探索与板的圆柱弯曲有关的二维（平面）公式。在多层板的六阶理论的框架中描述了夹层梁（圆柱形弯曲的夹层板）的动力学。频散多项式的渐近分析是在低频和低模块极限下进行的，用于隔离的无限长光束。格林的弯曲振动函数是通过解析获得的，因此明确包含梁组成的主要参数。考虑了刚性挡板中流体加载梁的强迫振动。声介质与板之间的相互作用以及板与其边界之间的相互作用都由在两级系统中组装的边界积分方程来描述。通过辐射声功率的最大值来检测流体加载梁的本征频率。对目标函数进行半分析灵敏度分析，选择该目标函数作为辐射声功率对波束组成参数的影响。

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