Abstract Based on Biot’s model for saturated porous media, the governing equation of fluid-saturated porous rectangular plates is presented, in which the compressibility of solid particles and fluid and the viscosity of pore fluid is taken into account. A series solution is given for simply-supported fluid-saturated porous plates. The accuracy of the solution is validated by degenerating the fluid-saturated porous rectangular plates into single-phase solid rectangular plates. As a numerical example, the free vibration characteristic and the dynamic response under harmonic loads are analysed. The influence of surface infiltration conditions, porosity, pore fluid permeability coefficient and loading frequency on the free vibration frequency is discussed.

中文翻译：

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流体饱和多孔矩形板的动力响应分析

摘要 基于Biot饱和多孔介质模型，提出了考虑固体颗粒和流体的压缩性以及孔隙流体粘度的流体饱和多孔矩形板控制方程。给出了简支流体饱和多孔板的级数解。通过将流体饱和的多孔矩形板退化为单相固体矩形板来验证解的准确性。作为数值例子，分析了谐波载荷下的自由振动特性和动态响应。讨论了地表入渗条件、孔隙度、孔隙流体渗透系数和加载频率对自由振动频率的影响。