Abstract Free vibration and damping analysis of porous functionally graded (FG) sandwich plates are presented based on a modified Fourier-Ritz method. The sandwich plate is composed of a viscoelastic core and two porous FG face layers. A complex elasticity modulus is employed to describe the viscoelastic core. Material properties of the porous FG face layer are described continuously across each face thickness according to a volume fraction index and a porosity coefficient. The distribution of porosities within the face layers is formulated either evenly or unevenly. The displacements are constructed by the first-order shear deformation theory combined with the modified Fourier method. The free vibration and damping analysis of a porous single-layered plate and a non-porous sandwich plate are then conducted to exhibit the capability and accuracy of the developed method. The obtained results are in good agreement with those in literature. Finally, a series of parametric analyses are investigated in detail, in which boundary condition, power-law index, porosity coefficient, geometric dimension and material loss factor are taken into consideration. It is noted that the porosities within the FG face layers have significant effects on the natural vibration and damping performance of porous FG sandwich plates.

中文翻译：

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具有粘弹性芯的多孔功能梯度夹层板的自由振动和阻尼分析

摘要 基于改进的傅立叶-里兹方法，提出了多孔功能梯度（FG）夹层板的自由振动和阻尼分析。夹层板由粘弹性芯和两个多孔 FG 面层组成。使用复数弹性模量来描述粘弹性核。根据体积分数指数和孔隙率系数，在每个面厚度上连续描述多孔 FG 面层的材料特性。表层内的孔隙率分布均匀或不均匀。位移是由一阶剪切变形理论结合修正傅立叶方法构建的。然后进行多孔单层板和无孔夹层板的自由振动和阻尼分析，以展示所开发方法的能力和准确性。所得结果与文献中的结果吻合良好。最后，详细研究了一系列参数分析，其中考虑了边界条件、幂律指数、孔隙率系数、几何尺寸和材料损耗因子。值得注意的是，FG 面层内的孔隙率对多孔 FG 夹层板的固有振动和阻尼性能有显着影响。考虑了几何尺寸和材料损耗因子。值得注意的是，FG 面层内的孔隙率对多孔 FG 夹层板的固有振动和阻尼性能有显着影响。考虑了几何尺寸和材料损耗因子。值得注意的是，FG 面层内的孔隙率对多孔 FG 夹层板的固有振动和阻尼性能有显着影响。