Nonlinear free vibrations of curved double walled carbon nanotubes using differential quadrature method

Ciğeroğlu E., Samandari H.

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, cilt.64, ss.95-105, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.physe.2014.07.010
  • Dergi Adı: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.95-105
  • Anahtar Kelimeler: Curved carbon nanotubes, Geometric nonlinearity, Van der Waals nonlinearity, Differential quadrature method, Euler-Bernoulli theory, COHESIVE LAW, PASTERNAK-FOUNDATION, BOUNDARY-CONDITIONS, MICROTUBULES, COMPOSITES, INTERFACES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Nonlinear free vibration analysis of curved double-walled carbon nanotubes (DWNTs) embedded in an elastic medium is studied in this study. Nonlinearities considered are due to large deflection of carbon nanotubes (geometric nonlinearity) and nonlinear interlayer van der Waals forces between inner and outer tubes. The differential quadrature method (DQM) is utilized to discretize the partial differential equations of motion in spatial domain, which resulted in a nonlinear set of algebraic equations of motion. The effect of nonlinearities, different end conditions, initial curvature, and stiffness of the surrounding elastic medium, and vibrational modes on the nonlinear free vibration of DWCNTs is studied. Results show that it is possible to detect different vibration modes occurring at a single vibration frequency when CNTs vibrate in the out-of-phase vibration mode. Moreover, it is observed that boundary conditions have significant effect on the nonlinear natural frequencies of the DWCNT including multiple solutions. (C) 2014 Elsevier B.V. All rights reserved.