EN
NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD
Abstract
Bending of microtubules due to a point load has been investigated by using Euler Bernoulli beam theory.The governing equations are derived based on Hamilton’s principle. The size effect is taken into consideration using the Eringen’s nonlocal elasticity theory. Some parametric results have been presented for nonlocal beam
Keywords
References
- [1] Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 54, 4703–4710, 1983.
- [2] Peddieson, J., Buchanan, G. R., McNitt, R. P., Application of nonlocal continuum models to nanotechnology. International Journal of Engineering Science, 41, 305-312, 2003.
- [3] Sudak, L.J., Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. Journal of Applied Physics, 94, 7281–7287, 2003.
- [4] Civalek, Ö., Akgöz, B., Free vib ration analysis of microtubules as cytoskeleton components: Nonlocal Euler-Bernoulli beam modeling. Scientia Iranica, Transaction B- Mechanical Engineering, 17(5), 367-375, 2010.
- [5] Civalek, Ö., Demir, Ç., Akgöz, B., Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model. Mathematical and Computational Applications, 15, 289-298, 2010.
- [6] Civalek, Ö., Demir, Ç., Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory. Applied Mathematical Modeling, 35, 2053-2067, 2011
- [7] Hawkins, T., Mirigian, M., Yasar, M. S., Ross, J., Mechanics of microtubules. Journal of Biomechanics, 43(1), 23-30, 2009.
- [8] Howard, J., Hyman, A. A., Dynamics and mechanics of the microtubule plus end. Nature, 422, 753-758, 2003.
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
September 1, 2015
Submission Date
September 1, 2015
Acceptance Date
-
Published in Issue
Year 2015 Volume: 7 Number: 3
APA
Demir, Ç., & Civalek, Ö. (2015). NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. International Journal of Engineering and Applied Sciences, 7(3), 33-39. https://doi.org/10.24107/ijeas.251254
AMA
1.Demir Ç, Civalek Ö. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015;7(3):33-39. doi:10.24107/ijeas.251254
Chicago
Demir, Çiğdem, and Ömer Civalek. 2015. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences 7 (3): 33-39. https://doi.org/10.24107/ijeas.251254.
EndNote
Demir Ç, Civalek Ö (September 1, 2015) NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. International Journal of Engineering and Applied Sciences 7 3 33–39.
IEEE
[1]Ç. Demir and Ö. Civalek, “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”, IJEAS, vol. 7, no. 3, pp. 33–39, Sept. 2015, doi: 10.24107/ijeas.251254.
ISNAD
Demir, Çiğdem - Civalek, Ömer. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences 7/3 (September 1, 2015): 33-39. https://doi.org/10.24107/ijeas.251254.
JAMA
1.Demir Ç, Civalek Ö. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015;7:33–39.
MLA
Demir, Çiğdem, and Ömer Civalek. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences, vol. 7, no. 3, Sept. 2015, pp. 33-39, doi:10.24107/ijeas.251254.
Vancouver
1.Çiğdem Demir, Ömer Civalek. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015 Sep. 1;7(3):33-9. doi:10.24107/ijeas.251254
Cited By
Nano ölçekli plakların serbest titreşimi ve tek katmanlı grafen uygulaması
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.25092/baunfbed.321979