The main objective of this study is to investigate the buckling analysis of CCSs reinforced by CNTs subjected to combined loading of hydrostatic pressure and axial compression resting on the two-parameter elastic foundation (T-P-EF). It is one of the first attempts to derive the governing equations of the CCSs reinforced with CNTs, based on a generalized first-order shear deformation shell theory (FSDST) which includes shell-foundation interaction. By adopting the extended mixing rule, the effective material properties of CCSs reinforced by CNTs with linear distributions are approximated by introducing some efficiency parameters. Three carbon nanotube distribution in the matrix, i.e. uniform distribution (U) and V and X-types linear distribution are taken into account. The stability equations are solved by using the Galerkin procedure to determine the combined buckling loads (CBLs) of the structure selected here. The numerical illustrations cover CBLs characteristics of CCSs reinforced by CNTs in the presence of the T-P-EF. Finally, a parametric study is carried out to study the influences of the foundation parameters, the volume fraction of carbon nanotubes and the types of reinforcement on the CBLs.

本研究的主要目的是研究由 CNT 增强的 CCS 在两参数弹性地基 (TP-EF) 上承受静水压力和轴向压缩联合载荷的屈曲分析。这是基于广义一阶剪切变形壳理论 (FSDST) 推导碳纳米管增强的 CCS 控制方程的首次尝试，其中包括壳-基础相互作用。采用扩展混合规则，通过引入一些效率参数来近似线性分布的碳纳米管增强的CCS的有效材料性能。考虑了三种碳纳米管在基体中的分布，即均匀分布（U）和V和X型线性分布。通过使用 Galerkin 程序求解稳定性方程以确定此处选择的结构的组合屈曲载荷 (CBL)。数字插图涵盖了在 TP-EF 存在下由 CNT 增强的 CCS 的 CBLs 特性。最后，进行了参数研究，研究了地基参数、碳纳米管的体积分数和加固类型对 CBLs 的影响。