FREE VIBRATION AND BENDING ANALYSES OF CANTILEVER MICROTUBULES BASED ON NONLOCAL CONTINUUM MODEL

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CİVALEK Ö., Demir C., AKGÖZ B.

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, cilt.15, sa.2, ss.289-298, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3390/mca15020289
  • Dergi Adı: MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.289-298
  • Anahtar Kelimeler: Microtubules, Nonlocal elasticity theory, Vibration, Deflection, DIFFERENTIAL QUADRATURE HDQ, CARBON NANOTUBES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The equations of motion and bending of Euler-Bernoulli beam are formulated using the nonlocal elasticity theory for cantilever microtubules (MTs). The method of differential quadrature (DQ) has been used for numerical modeling. The size effect is taken into consideration using the Eringen's non-local elasticity theory. Frequencies and deflections of MTs are obtained. Numerical results are presented to show the effect of small-scale effect on bending and vibration of MTs.