FREE VIBRATION AND BENDING ANALYSES OF CANTILEVER MICROTUBULES BASED ON NONLOCAL CONTINUUM MODEL
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, vol.15, no.2, pp.289-298, 2010 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 15 Issue: 2
- Publication Date: 2010
- Doi Number: 10.3390/mca15020289
- Journal Name: MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.289-298
- Keywords: Microtubules, Nonlocal elasticity theory, Vibration, Deflection, DIFFERENTIAL QUADRATURE HDQ, CARBON NANOTUBES
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
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.