Nonlinear Vibration Behavior of Multilayered Exponentially Graded Izotropic Cylindrical Shells on Nonlinear Elastic Foundations

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Vergül T., Avey A.

International Congress on New Trends in Mechanics, Baku, Azerbaycan, 2 Eylül - 05 Aralık 2025, ss.404-414, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Baku
  • Basıldığı Ülke: Azerbaycan
  • Sayfa Sayıları: ss.404-414
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

This study focuses on the analysis of the free vibration behavior of multilayered

nonhomogeneous isotropic (NHI) cylindrical shells resting on nonlinear elastic foundations

within a theoretical framework based on Donnell-type thin-shell theory, which considers von

Kármán-type geometric nonlinearities and transverse shear deformation effects. The stressdisplacement

relations for each NHI layer are defined within the 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 semi-inverse method,

allows for approximate solutions of nonlinear differential equations. Furthermore, the study

comprehensively examined the effects of nonlinear (NL) elastic foundation parameters, shear

deformations, non-homogeneity, number and arrangement of layers on nonlinear frequency

characteristics, and new findings are presented that contribute to the literature.