Mechanical modeling of microtubules based on nonlocal continuum theory

Abstract

In the present study, a single elastic beam model based on nonlocal elasticity theory is presented for free vibration analysis of microtubules. The small scale effect is taken into consideration using the Eringen's nonlocal elasticity theory in conjunction with the different types of beam model such as Euler-Bernoulli, Timoshenko, Levinson and Reddy. Numerical results are given to show the size effect on vibration of microtubules.