Small size and rotary inertia effects on the natural frequencies of carbon nanotubes

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ERSOY H., Numanoglu H. M., AKGÖZ B., CİVALEK Ö.

CURVED AND LAYERED STRUCTURES, cilt.5, sa.1, ss.273-279, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/cls-2018-0020
  • Dergi Adı: CURVED AND LAYERED STRUCTURES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.273-279
  • Anahtar Kelimeler: size dependency, carbon nanotube, non-classical continuum theory, rotary inertia effect, vibration, STRAIN GRADIENT ELASTICITY, FREE-VIBRATION ANALYSIS, ORDER BEAM THEORY, NONLOCAL CONTINUUM, NONLINEAR DYNAMICS, BUCKLING ANALYSIS, MODEL, MICROTUBULES, BEHAVIORS, MICRO
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In the present paper, rotary inertia and small size effects on the free vibration response of single-walled carbon nanotubes are examined. The equations in motion and associated boundary conditions are obtained by using Hamilton's principle on the basis of modified couple stress and Rayleigh beam theories. The size effect is taken into account by modified couple stress theory while the rotary inertia effect is considered by Rayleigh beam theory. The resulting equations are analytically solved by implementing Navier's solution technique for pinned-pinned carbon nanotubes. Influences of slenderness ratio, length scale parameter and rotary inertia on the natural frequencies of single-walled carbon nanotubes are studied in detail.