ABSTRACT Accurate modeling and examination of nonlinear vibration behavior of multilayer structural elements consisting of nanocomposite (NC) materials before use is of great importance in terms of structural safety and operational security. Considering the complex mechanical properties of such structures, detailed analyses will not only ensure safety but also prevent serious economic losses caused by possible failures. In this study, modeling of mechanical properties of multilayer cylindrical shell structures consisting of homogeneous NC and functionally graded nanocomposite (FG‐NC) layers and solution of nonlinear vibration problem are discussed. The shear deformation theory (SDT), originally developed for homogeneous cylindrical shells, has been extended to multilayer structures incorporating FG‐NC layers. Within this framework, the dynamic equations and related expressions for cylindrical shells composed of FG‐NC layers are derived based on the von Kármán‐type nonlinear shell theory. The resulting nonlinear partial differential equations (NL‐PDEs) are solved using the Galerkin method and a modified version of the Poincaré–Lindstedt method (P‐LM). In the final part of the study, the effects of shear stresses, carbon nanotubes (CNT) distribution patterns, symmetric and antisymmetric layer configurations, and the number of layers on the dimensionless nonlinear natural frequencies (DNLFP) of cylindrical shells with various geometric and structural characteristics are examined in detail and evaluated through numerical analyses. The findings reveal the multifaceted influence of stacking sequence and pattern selection on the DNLFP, particularly highlighting the necessity of considering those effects in the design process under high‐temperature and low‐stiffness conditions.
Sofiyev et al. (Tue,) studied this question.