Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model
Akdeniz University, Civil Engineering Department, Antalya, Turkey
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Math. Comput. Appl. 2010, 15(2), 289-298; https://doi.org/10.3390/mca15020289
Published: 1 August 2010
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
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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. https://doi.org/10.3390/mca15020289
AMA Style
Civalek Ö, Demir Ç, Akgöz B. Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model. Mathematical and Computational Applications. 2010; 15(2):289-298. https://doi.org/10.3390/mca15020289
Chicago/Turabian StyleCivalek, Ömer, Çiğdem Demir, and Bekir Akgöz. 2010. "Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model" Mathematical and Computational Applications 15, no. 2: 289-298. https://doi.org/10.3390/mca15020289
