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

Mathematical and Computational Applications

Civalek, Ömer¹ 

关键词: Microtubules;    Nonlocal elasticity theory;    Vibration;    Deflection;   

DOI  :  10.3390/mca15020289

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY