On the primary resonance of non-homogeneous orthotropic structures with viscous damping within shear deformation theory


Sofiyev A. H. , Turan F., Kuruoglu N.

THIN-WALLED STRUCTURES, vol.171, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 171
  • Publication Date: 2022
  • Doi Number: 10.1016/j.tws.2021.108662
  • Journal Name: THIN-WALLED STRUCTURES
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Nonlinear forced vibration, Primary resonance, Non-homogeneity, Anisotropy, Multiple scales method, Excitation, Damping, SDT, NONLINEAR VIBRATIONS, SHELLS

Abstract

This study is one of the first attempts on the nonlinear forced vibration behaviors of nonhomogeneous orthotropic (NHO) structural members with linear viscous damping at primary resonance within the shear deformation theory (SDT). First, mechanical properties of double curved systems consisting of NHO materials are mathematically modeled and nonlinear basic relations are established. Using these relations, nonlinear basic partial differential equations are derived and reduced to ordinary differential equations with second and third order nonlinearities by Galerkin procedure. Multiple-scales method is used to obtain the nonlinear forced vibration frequency-amplitude dependence of double curved NHO structural members with damping. After testing the correctness of the proposed methodology, the influences of non-homogeneity, damping, transverse shear deformations and anisotropy on nonlinear forced vibration frequencies for various structural members at the primary resonance are investigated and interpreted in detail.