Size-dependent vibration analysis of three-layered fluid-infiltrated porous curved microbeams, which are integrated with nanocomposite face sheets, is provided in this work. The effect of the fluids within the pores of the core is taken into consideration and the core’s thermomechanical properties vary across the thickness based on three different patterns. Also, the face sheets are made from epoxy, which are reinforced by graphene platelets as lightweight and high-stiffness reinforcements. Graphene platelets dispersion patterns are also considered, which obey three different functions, namely parabolic, linear, and uniform. Moreover, effective thermomechanical properties of the face sheets are determined with the aid of ERM and Halpin–Tsai micromechanical models. The microstructure is under thermal load and it is rested on Pasternak elastic foundation. In the polar coordinate system, the strains are determined for deep curved beams that lead to more accurate results. Based on a refined higher-order shear deformation theory, which includes four variables and considers the thickness stretching effect, and employing the modified couple stress theory for accounting the size effect, the differential motion equations are derived and via an analytical method, they are solved. A verification study is conducted by neglecting some parameters and after that, the results are presented and discussed in detail. It is seen that the porous core and nanocomposite face sheets material properties have significant effects on the vibrational response of the under consideration model. Up to now, no similar work in the available literature has been found, therefore, the results of this study can be considered as a benchmark for future ones. The outcomes of this study may help to design more efficient structures with the desired properties.

这项工作提供了与纳米复合面板集成在一起的三层浸渗多孔弯曲微束的尺寸依赖振动分析。考虑到芯孔中的流体的影响，并且芯的热机械性质基于三种不同模式在整个厚度上变化。而且，面板由环氧树脂制成，并通过石墨烯片增强了轻质和高刚度。还考虑了石墨烯血小板分散模式，其遵循三个不同的功能，即抛物线，线性和均匀。此外，借助ERM和Halpin-Tsai微机械模型确定了面板的有效热机械性能。微观结构处于热负荷下，并置于Pasternak弹性地基上。在极坐标系中，确定深弯曲光束的应变，从而获得更准确的结果。基于改进的高阶剪切变形理论，该理论包括四个变量并考虑了厚度拉伸效应，并采用修正的耦合应力理论来考虑尺寸效应，推导了微分运动方程，并通过分析方法对其进行了求解。 。通过忽略一些参数进行验证研究，然后详细介绍和讨论结果。可以看出，多孔核和纳米复合材料面板的材料性能对考虑模型的振动响应具有重大影响。到现在，在现有文献中没有发现类似的工作，因此，这项研究的结果可被视为未来研究的基准。这项研究的结果可能有助于设计具有所需特性的更有效结构。