In this paper, thermal buckling of functionally graded (FG) porous nanocomposite beams subjected to a thermal gradient are studied by generalized differential quadrature method (GDQM). We consider three different types of nanofillers dispersion patterns and porosity distributions. Materials parameters vary along the thickness direction. Under Gaussian random field (GRF) scheme, the mechanical properties of closed- cell cellular solids are used. Thereby, the variation of Poisson's ratio as well as the relationship between porosity coefficient and mass density are determined. The elastic modulus of nanocomposite is obtained by applying Halpin-Tsai micromechanics model. In the course of this work, the accuracy and efficiency of the (GDQM) are validated. We studied the effects of weight fraction, dispersion pattern, geometry, and size of graphene platelets (GPLs), as well as porosity distribution, porosity coefficient, slenderness ratio and metal matrix on the thermal buckling of the nanocomposite beam. Our findings, contrary to what was expected, are somewhat surprising. According to our results, the graphene platelets (GPLs') performance is affected strongly by their geometry.

本文利用广义差分正交方法（GDQM）研究了功能梯度（FG）多孔纳米复合材料梁的热屈曲。我们考虑了三种不同类型的纳米填料的分散模式和孔隙率分布。材料参数沿厚度方向变化。在高斯随机场（GRF）方案下，使用了闭孔细胞固体的机械性能。由此，确定泊松比的变化以及孔隙率系数与质量密度之间的关系。纳米复合材料的弹性模量是通过应用Halpin-Tsai微力学模型获得的。在此过程中，已验证了（GDQM）的准确性和效率。我们研究了重量分数，分散模式，几何形状，石墨烯薄片（GPL）的尺寸，大小，孔隙率分布，孔隙率系数，细长比和金属基质对纳米复合材料梁的热屈曲的影响。我们的发现与预期相反，有些令人惊讶。根据我们的结果，石墨烯血小板（GPL）的性能受其几何形状的强烈影响。