Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models

Demir C., CİVALEK Ö.

APPLIED MATHEMATICAL MODELLING, cilt.37, sa.22, ss.9355-9367, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 22
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.apm.2013.04.050
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9355-9367
  • Anahtar Kelimeler: Nonlocal elasticity, Finite element method, Torsional and axial vibration, Discrete model, WALLED CARBON NANOTUBES, FREE-VIBRATION ANALYSIS, ANISOTROPIC ELASTIC PROPERTIES, MECHANICS, PROPAGATION, SCALE, LONG
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, the size-effects in the torsional and axial response of microtubules by using the nonlocal continuum rod model is investigated. To this end, continuous and discrete rod models are performed for modeling of microtubules. A simple finite element procedure is used for modeling and solution of nonlocal discrete system equation for microtubules. The influence of the small length scale on the vibration frequencies is examined both torsional and axial vibration cases. Some parametric results are also presented for examination of the accuracy and performances of discrete and continuous models. (C) 2013 Elsevier Inc. All rights reserved.