Finite element model for free vibration analysis of curved zigzag nanobeams

KARAMANLI A. F., Vo T. P.

Composite Structures, vol.282, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 282
  • Publication Date: 2022
  • Doi Number: 10.1016/j.compstruct.2021.115097
  • Journal Name: Composite Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Curved zigzag nanobeam, Doublet mechanics, FEM, Sinusoidal shear deformation theory
  • Yıldız Technical University Affiliated: Yes

Abstract

By using sinusoidal beam theory and doublet mechanics formulation, this paper investigates free vibrations of curved zigzag nanobeams. A finite element doublet mechanics (FEDM) model is developed and corresponding material-length-scale-parameter (MLSP, ηFEM) is defined to solve the problems. The proposed model is validated by comparing the results with those from molecular dynamic simulations (MDS), DM and Eringen's nonlocal theory. For armchair single-walled CNTs, it is observed from previous study that while the MLSP of Eringen's nonlocal theory should be calibrated with the variation of length/tube diameter (L/d) for better accuracy with MDS, this value of proposed FEDM does not change. Besides, it does not depend on the boundary conditions unlike the Eringen's nonlocal theory. The effects of MLSP, slenderness ratio, open angle and boundary conditions on the natural frequencies of curved nanobeams are studied. Some new results are represented for benchmark purpose.