Free Vibration Analysis of Microtubules as Cytoskeleton Components: Nonlocal Euler-Bernoulli Beam Modeling

Abstract

Free vibration analysis of microtubules (MTs) is presented based on the Euler-Bernoulli beam theory. The size e ect is taken into consideration using the Eringen's non-local elasticity theory. The governing di erential equations for MT vibrations are being solved using the Di erential Quadrature (DQ) method. Numerical results are presented to show the e ect of nonlocal behavior on the frequencies of MTs. It is hoped that the results in the manuscript may present a benchmark in the study of vibration for microtubules.