The Model of Interconnected Pipes in the Investigation of Dynamic Stability of Carbon Nanotubes Embedded in an Elastic Medium

[1] 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

[2] Bocko, J., Lengvarsky, P., Juraj, S. “Buckling analysis of hetero-junction carbon nanotubes”, Journal of Mechanical Engineering 68 (2), pp. 9 – 16, 2018. DOI: 10.2478/scjme-2018-0013 Search in Google Scholar

[3] 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

[4] Belhadi, A., Boukhalfa, A., Belalia, S. A. “Free vibration modeling of single-walled carbon nanotubes using the differential quadrature method”, Mathematical modeling of engineering problems 4 (1), pp. 33 – 37, 2017. DOI: 10.18280/mmep.040107 Search in Google Scholar

[5] Bert, C. W., Malik, M. “Differential quadrature method in computational mechanics: a review”, Applied Mechanics Reviews 40 (1), pp. 1 – 28, 1996. DOI: 10.1115/1.3101882 Search in Google Scholar

[6] Ng, C. H. W., Zhao, Y., Xiang, G., We, W “On the accuracy and stability of a variety of differential quadrature formulations for the vibration analysis of beams”, International journal of engineering and applied sciences (IJEAS) 1 (4), pp. 1 – 25, 2009. https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=2707&context=lkcsb_research [Accessed: 01.06.2023] Search in Google Scholar

[7] Tornabene, F., Marzani, A., Viola, E., Elishakoff, I. “Critical flow speeds of pipes conveying fluid using Generalized Quadrature Method”, Adv. Theor. Appl. Mech 3, pp. 121 – 138, 2010. http://m-hikari.com/atam/atam2010/atam1-4-2010/marzaniATAM1-4-2010.pdf [Accessed: 01.06.2023] Search in Google Scholar

[8] Lilkova-Markova, Sv., Lolov, D. “Stability of pipes conveying fluid”, ABC Technika, Sofia, Bulgaria, 2016. ISBN 978-954-8873-98-7 Search in Google Scholar

[9] 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

[10] Talib, E. E., Nada, M.A. “Free vibration and flutter stability of interconnected double graded micro pipes system conveying fluid”, 2nd International scientific conference of Al-Ayen University (ISCAU-2020), Thi-Qar, Iraq, IOP Conf. Series: Materials Science and Engineering 928, pp. 1 – 18, 2020. DOI: 10.1088/1757-899X/928/2/022128 Search in Google Scholar

[11] 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