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

نویسندگان
Moghimi Zand, M. ID 1
Ahmadian, M. T. ID 2
Rashidian, B. ID 3

1 Department of Mechanical Engineering,Sharif University of Technology

2 Department of Mechanical Engineering,Sharif University of Technology

3 Department of Electrical Engineering,Sharif University of Technology

doi
چکیده

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.

کلیدواژه‌ها
Microtubules, Nonlocal elasticity, free vibration, Di erential quadrature method, Euler- Bernoulli beam