On the nonlinear vibration of heterogenous orthotropic shallow shells in the framework of the shear deformation shell theory

Sofiyev A., Turan F.

Thin-Walled Structures, vol.161, 2021 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 161
  • Nəşr tarixi: 2021
  • Doi nömrəsi: 10.1016/j.tws.2020.107181
  • jurnalın adı: Thin-Walled Structures
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, Civil Engineering Abstracts
  • Açar sözlər: Heterogeneity, Non-linearity, Orthotropic materials, Semi-inverse method, Shallow shells, Vibration
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this study, the nonlinear vibration of heterogeneous orthotropic shallow shells (HTOSSs) is investigated. The first order shear deformation theory (FSDT) is generalized to the non-linear vibration problem of HTOSSs for the first time. After the presentation of visual and mathematical models of HTOSSs, the von-Karman type nonlinear basic relations of HTOSSs are created and then the non-linear equations of motion are derived depending on the rotation angles, Airy stress and deflection functions. Then, applying superposition, Galerkin and semi-inverse methods to the nonlinear differential equations, the frequency-amplitude relation of non-linear vibration of HTOSSs is obtained. The frequency-amplitude relation within the classical shell theory (CST) is obtained in a special case. After checking the reliability of the proposed formulation and the accuracy of the results in accordance with the available literature, a systematic study is aimed at checking the sensitivity of the dynamic response to the shear stresses, nonlinearity, heterogeneity, orthotropy and different geometric characteristics.