Free Vibration Analysis of Microtubules as Cytoskeleton Components: Non local Euler-Bernoulli Beam Modeling

CİVALEK Ö., AKGÖZ B.

SCIENTIA IRANICA TRANSACTION B-MECHANICAL ENGINEERING, cilt.17, sa.5, ss.367-375, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 5
  • Basım Tarihi: 2010
  • Dergi Adı: SCIENTIA IRANICA TRANSACTION B-MECHANICAL ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.367-375
  • Anahtar Kelimeler: Microtubules, Nonlocal elasticity, Free vibration, Differential quadrature method, Euler-Bernoulli beam, GENERALIZED DIFFERENTIAL QUADRATURE, WALLED CARBON NANOTUBES, ANISOTROPIC ELASTIC PROPERTIES, INITIAL VALUES METHOD, CIRCULAR PLATES, NONLOCAL ELASTICITY, NATURAL-CONVECTION, SCALE, DQ, SIMULATION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Free vibration analysis of microtubules (MTs) is presented based on the Euler-Bernoulli beam theory. The size effect is taken into consideration using the Eringen's non-local elasticity theory. The governing differential equations for MT vibrations are being solved using the Differential Quadrature (DQ) method. Numerical results are presented to show the effect, of nonlocal behavior on the frequencies of MTs. It is hoped that tin: results in the manuscript may present a benchmark in the study of vibration for microtubules.