Next Article in Journal
Ranking Extreme and Non-Extreme Efficient Decision Making Units in Data Envelopment Analysis
Previous Article in Journal
Vibration Analysis of Asymmetric-Plan Frame Buildings Using Transfer Matrix Method
Article Menu

Article Versions

Export Article

Open AccessArticle
Math. Comput. Appl. 2010, 15(2), 289-298; doi:10.3390/mca15020289

Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model

Akdeniz University, Civil Engineering Department, Antalya, Turkey
*
Author to whom correspondence should be addressed.
Published: 1 August 2010
Download PDF [178 KB, uploaded 4 April 2016]

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.
Keywords: Microtubules; Nonlocal elasticity theory; Vibration; Deflection Microtubules; Nonlocal elasticity theory; Vibration; Deflection
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Civalek, Ö.; Demir, Ç.; Akgöz, B. Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model. Math. Comput. Appl. 2010, 15, 289-298.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top