Dynamic Stability of A Single Walled Carbon Nanotube, Embedded in A Polymer Matrix and Conveying A Pulsatile Flow

Dimitar Lolov

doi:10.2478/scjme-2025-0009

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Dynamic Stability of A Single Walled Carbon Nanotube, Embedded in A Polymer Matrix and Conveying A Pulsatile Flow

Strojnícky časopis - Journal of Mechanical Engineering

Volume 75 (2025): Issue 1 (April 2025)

By: Dimitar Lolov

Open Access

|Apr 2025

Abstract

The dynamic stability of a single-walled carbon nanotube embedded in a polymer matrix is investigated using the Euler-Bernoulli beam model. The nanotube conveys a pulsatile flow, where the fluid velocity is a harmonic function of time. The surrounding elastic medium (such as polymer) is modelled as a Winkler elastic foundation. The harmonic variation of the fluid velocity enables the application of Floquet theory for the dynamic stability analysis of the system.

References

Reddy, C.D., Lu, C., Rajendran, S., Liew, K.M. "Free vibration analysis of fluid conveying single-walled carbon nanotubes", Applied Physics Letters 90 (13), pp. 90–133, 2007. DOI: 10.1063/1.2717554
Search in Google Scholar Back to article
Bocko, J., Lengvarsky, P., Pastor, M. "Estimation of material properties of carbon nanotubes using finite element method", Strojnícky časopis–Journal of Mechanical Engineering 69 (2), pp. 7–14, 2019. DOI: 10.2478/scjme-2019-0014
Search in Google Scholar Back to article
Bocko, J., Lengvarsky, P., Juraj, S. "Buckling analysis of hetero-junction carbon nanotubes", Strojnícky časopis–Journal of Mechanical Engineering 68 (2), pp. 9–16, 2018. DOI: 10.2478/scjme-2018-0013
Search in Google Scholar Back to article
Yoon, J., Ru, C., Mioduchowski, A. "Vibration and instability of carbon nanotubes conveying fluid, Composites Science and Technology", Composites Science and Technology 65 (9), pp. 1326–1336, 2005. DOI: 10.1016/j.compscitech.2004.12.002
Search in Google Scholar Back to article
Yoon, J., Ru, C., Mioduchowski, A. "Flow-induced flutter instability of cantilever CNTs", International Journal of Solids and Structures 43 (11-12), pp. 3337–3349, 2006. DOI: 10.1016/j.ijsolstr.2005.04.039
Search in Google Scholar Back to article
Wang, X.Y., Wang, X., Sheng, G.G. "The coupling vibration of fluid-filled carbon nanotubes", Jouranl of Physics D: Applied Physics 40, pp. 2563–2572, 2007. DOI: 10.1088/0022-3727/40/8/022
Search in Google Scholar Back to article
Dong, K., Wang, X. "Wave propagation in carbon nanotubes under shear deformation", Nanothechnology 17 (11), pp. 2773–2782, 2006. DOI: 10.1088/0957-4484/17/11/009
Search in Google Scholar Back to article
Dong, K., Wang, X. "Wave dispersion characteristics in fluid-filled carbon nanotubes embedded in an elastic medium", Modelling and Simulation in Materials Science and Engineering 15 (5), pp. 427–439, 2007. DOI: 10.1088/0965-0393/15/5/004
Search in Google Scholar Back to article
Lolov, D., Lilkova-Markova, Sv. "The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium", Strojnícky časopis–Journal of Mechanical Engineering 73 (2), pp. 93–98, 2023. DOI: 10.2478/scjme-2023-0024
Search in Google Scholar Back to article
Lolov, D., Lilkova-Markova, Sv. "Dynamic stability of double-walled carbon nanotubes", Journal of the Serbian Society for Computational Mechanics 12 (1), pp. 1–8, 2018. DOI: 10.24874/jsscm.2018.12.01.01
Search in Google Scholar Back to article
Jeong, W., Soo, Y., Jeong, S., Lee, S., Yoo, W. "Stability Analysis of a pipe conveying periodically pulsating fluid using finite element method", JSME International Journal 49, pp. 1116–1122, 2006. DOI: 10.1299/jsmec.49.1116
Search in Google Scholar Back to article
Yoon, J., Ru, C., Mioduchowski, A. "Vibration and instability of carbon nanotubes conveying fluid. Composites Science and Technology", Composites Science and Technology 65, pp. 1326–1336, 2005. DOI: 10.1016/j.compscitech.2004.12.002
Search in Google Scholar Back to article
Wu, J., Shih, P. "The dynamic analysis of a multispan fluid-conveying pipe subjected to external load", Journal of Sound and Vibration 239, pp. 201–215, 2001. DOI: 10.1006/jsvi.2000.3119
Search in Google Scholar Back to article
Floguet, G. "Equations differentielles lineaires a coefficients périodiques", Annale scientifiques de l’E.N.S. 2^e (12), pp. 47–89, 1883. Available at: https://www.numdam.org/item/10.24033/asens.220.pdf [Accessed: 24.03.2025]
Search in Google Scholar Back to article
Chicone, C. "Ordinary Differential Equations with applications", Springer, Cham, Switzenland, 2024. ISBN 978-3-031-51651-1, DOI: 10.1007/978-3-031-51652-8
Search in Google Scholar Back to article
Inspeger, T., Horvath, R. “Pendulum with harmonic variation of the suspension point”, Periodica Polytechnica 44 (1), pp. 39–46, 2000. Available at: https://www.researchgate.net/publication/238066583_Pendulum_with_harmonic_variation_of_the_suspension_point [Accessed: 24.03.2025]
Search in Google Scholar Back to article
He, X. Q, Kitipornchai, S., Liew, K. M. "Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction", Journal of Mechanics and Physics of solids 53, pp. 303–326, 2005. DOI: 10.1016/j.jmps.2004.08.003
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/scjme-2025-0009 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472

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Language: English

Page range: 87 - 94

Published on: Apr 30, 2025

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

dynamic stability,

fluid-conveying carbon nanotubes,

pulsatile flow,

Floquet theory

Related subjects:

Engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mechanics

© 2025 Dimitar Lolov, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 75 (2025): Issue 1 (April 2025)