Research Information System
Mechanics of Advanced Materials and Structures, vol.33, no.1, 2026 (SCI-Expanded, Scopus)
In this study, the non-linear vibration behavior of multilayer cylindrical shells composed of non-homogeneous orthotropic (NHO) materials supported by a nonlinear Pasternak elastic foundation (NL-PF) is investigated using an exact analytical approach. Unlike the isotropic assumptions, linear basis models, and purely numerical methods used in the vast majority of existing studies, the proposed formulation simultaneously considers material orthotropy, functional grading of layers in the thickness direction, transverse shear deformations, and geometric nonlinearities. The governing equations are derived using von Kármán-type nonlinear strain-displacement relations within the Donnell shell theory and a generalized Hooke’s law for orthotropic layers. To find the exact solution in terms of the Jacobi elliptic function, the nonlinear equation of motion is transformed into the Jacobi elliptic function form, and the nonlinear frequency-amplitude relationship is obtained analytically. Parametric investigations are conducted for six- and eight-layered shell configurations. The results show that orthotropic grading, layer arrangement, transverse shear effects and NL-PF effects significantly alter the dynamic stiffness and frequency response of the system, providing original contributions to the literature on the nonlinear dynamics of advanced laminated orthotropic shell structures.