This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated.

本研究基于管的张富理论、Timoshenko 梁理论、非局部梯度应变理论 (NSGT) 以及 Von-Karmen 非线性研究了具有孔隙度的二维功能梯度 (2D-FG) 纳米管的非线性屈曲。理论。在本文中，根据能量法生成各种边界条件的问题的公式。然后，将广义微分求积法（GDQM）与迭代法相结合，提取结果。通过对比研究证明了结果的准确性，最后研究了影响纳米管屈曲的不同参数的影响。