Nonlinear Vibration of Multilayer Nonhomogeneous Moderately-Thick Cylindrical Shells on Three-Parameter Nonlinear Foundations
Journal of Applied and Computational Mechanics, cilt.12, sa.3, ss.1149-1163, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.22055/jacm.2025.48952.5620
- Dergi Adı: Journal of Applied and Computational Mechanics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Directory of Open Access Journals
- Sayfa Sayıları: ss.1149-1163
- Anahtar Kelimeler: Layer arrangement, Multilayer moderately-thick cylindrical shells, Nonhomeogeneity, Nonlinear frequencies, Nonlinear vibration, three-parameter nonlinear foundations
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
This study focuses on the analysis of the nonlinear vibration behavior of nonhomogenous isotropic (NHI) multilayered cylindrical shells resting on three-parameter nonlinear elastic foundations (Winkler-Pasternak type) within a theoretical framework based on Donnell-type shell theory, which considers von Kármán-type geometric nonlinearities and transverse shear deformation effects. The stress-displacement relations for each NHI layer are defined within the context of generalized Hooke's law, and based on this, the governing equations of the system are derived in the form of partial differential equations. These equations are reduced to second-order time-dependent nonlinear ordinary differential equations using the Galerkin approximation. The nonlinear frequency-amplitude relationship is established using the semi-inverse method, which establishes a variational formulation through an assumed functional representation and provides an approximate analytical solution to the nonlinear governing equations. Furthermore, the study comprehensively examined the effects of nonlinear elastic foundation parameters (Winkler and Pasternak coefficients), shear deformations, degree of nonhomogeneity, number and arrangement of layers, and shell geometric ratios on nonlinear frequency characteristics, and new findings are presented that contribute to the literature.