Title :
Mechanical modeling of microtubules based on nonlocal continuum theory
Author :
Civalek, Ömer ; Akgöz, Bekir
Author_Institution :
Mekanik Anabilim Dali, Akdeniz Univ., Antalya, Turkey
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.
Keywords :
biomechanics; elasticity; molecular biophysics; physiological models; proteins; vibrations; Eringen nonlocal elasticity theory; Euler-Bernoulli beam model; Levinson model; Reddymodel; Timoshenko beam model; elastic beam model; free vibration analysis; mechanical modeling; microtubules; nonlocal continuum theory; Capacitive sensors; Elasticity; Kernel; Proteins;
Conference_Titel :
Biomedical Engineering Meeting (BIYOMUT), 2010 15th National
Conference_Location :
Antalya
Print_ISBN :
978-1-4244-6380-0
DOI :
10.1109/BIYOMUT.2010.5479733
