Application of Chebyshev-Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures


EBRAHIMI F., BARATI M. R., CİVALEK Ö.

ENGINEERING WITH COMPUTERS, cilt.36, sa.3, ss.953-964, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00366-019-00742-z
  • Dergi Adı: ENGINEERING WITH COMPUTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.953-964
  • Anahtar Kelimeler: Free vibration, Higher order theory, FG nanobeam, Nonlocal couple stress theory, FUNCTIONALLY GRADED NANOBEAMS, SHEAR DEFORMATION-THEORY, REFINED PLATE-THEORY, COUPLE STRESS THEORY, HIGHER-ORDER SHEAR, BUCKLING ANALYSIS, WAVE-PROPAGATION, POSTBUCKLING ANALYSIS, THERMAL-STABILITY, THICKNESS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This research develops a nonlocal couple stress theory to investigate static stability and free vibration characteristics of functionally graded (FG) nanobeams. The theory introduces two parameters based on nonlocal elasticity theory and modified couple stress theory to capture the size effects much accurately. Therefore, a nonlocal stress field parameter and a material length scale parameter are used to involve both stiffness-softening and stiffness-hardening effects on responses of FG nanobeams. The FG nanobeam is modeled via a higher order refined beam theory in which shear deformation effect is verified needless of shear correction factor. A power-law distribution is used to describe the graded material properties. The governing equations and the related boundary conditions are derived by Hamilton's principle and they are solved applying Chebyshev-Ritz method which satisfies various boundary conditions. A comparison study is performed to verify the present formulation with the provided data in the literature and a good agreement is observed. The parametric study covered in this paper includes several parameters such as nonlocal and length scale parameters, power-law exponent, slenderness ratio, shear deformation and various boundary conditions on natural frequencies and buckling loads of FG nanobeams in detail.