Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model
By Ö. Civalek, Cigdem Demir, Bekir Akgöz. 2010
163 citations recorded by the source corpus.
The equations of motion and bending of Euler-Bernoulli beam are formulated using the nonlocal elasticity theory for cantilever microtubules (MTs). The method of differential quadrature (DQ) has been used for numerical modeling. The size effect is taken into consideration using the Eringen’s non-local elasticity theory. Frequencies and deflections of MTs are obtained. Numerical results are presented to show the effect of small-scale effect on bending and vibration of MTs.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/238ff8e4d04dd09f55626de184d1969168bb5322
How researchers see this paper
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In Materials Chemistry
- Farzad Ebrahimi
- Mohammad Reza Barati
- Ö. Civalek
- Erfan Salari
- Bekir Akgöz
- Cigdem Demir
- Mergen H. Ghayesh
- Ali Farajpour
In Mechanics of Materials
- Farzad Ebrahimi
- Mohammad Reza Barati
- Erfan Salari
- Ö. Civalek
- Bekir Akgöz
- Cigdem Demir
- Ali Farajpour
- Mergen H. Ghayesh
Citations in the corpus
- Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory (2012, methodology): “By using the higher-order continuum approach, analyses of micro-sized mechanical and biological systems are also investigated by present authors [34–37].”
- Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory (2011, background): “Some interesting results are also published by present author [45] for cantilever microtubules.”
- A Semi-analytical Method for Vibrational and BucklingAnalysis of Functionally Graded Nanobeams Consideringthe Physical Neutral Axis Position (2015, methodology): “Civalek et al. (2010) presented a formulation of the equations of motion and bending of Euler–Bernoulli beam using the nonlocal elasticity theory for cantilever microtubules.”
- A Nonlocal Higher-Order Shear Deformation Beam Theory for Vibration Analysis of Size-Dependent Functionally Graded Nanobeams (2015, methodology): “[9] proposed formulation of the governing equations of nonlocal Euler–Bernoulli beams to investigate bending of cantilever microtubules via the differential quadrature method.”