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


1 Department of Civil Engineering,Tokai University

2 Department of Civil Engineering,Beijing Jiaotong University


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.