Akademik Veri Yönetim Sistemi
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, cilt.105, sa.9, 2025 (SCI-Expanded)
This paper deals with nonlinear vibration analysis of multi-layer cylindrical shells consisting of orthotropic layers by considering the effect of nonlinear elastic foundations. The nonlinear basic relations are mathematically modeled by considering von-Karman type geometric nonlinearity and transverse shear strains within the framework of Donnell-type shell theory. Nonlinear elastic foundations are modeled as nonlinear Winkler and Pasternak-type elastic foundations. Nonlinear partial differential equations of multilayer cylindrical shells on nonlinear elastic foundations are derived by considering the shell-foundation interaction. The nonlinear frequency-amplitude relationship for multilayered orthotropic cylindrical shells on nonlinear elastic foundations within shear deformation theory (ST) is obtained using the modified Pouncare–Lindsdedt method. The validity of the present methodology is demonstrated by comparing the results in the literature. Numerical illustrations concern the nonlinear frequency characteristics of six- and eight-symmetric cross-ply laminated orthotropic cylindrical shells resting on nonlinear elastic foundations. The results show that the linear and nonlinear foundation stiffness, shear stresses, and stacking sequence have a significant effect on the nonlinear vibration characteristics of laminated orthotropic cylindrical shells.