Acknowledgement
This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2024/R/1445)
References
- Ahmadi, A.A.A., Valipour, P. and Ghasemi, S.E. (2016), "Investigation on vibration of single-walled carbon nanotubes by variational iteration method", Appl. Nanosci., 6, 243-249. https://doi.org/10.1007/s13204-015-0416-8.
- Bak, J.H., Kim, Y.D., Hong, S.S., Lee, B.Y., Lee, S.R., Jang, J.H., Kim, M., Char, K., Hong, S. and Park, Y.D. (2008), "High-frequency micromechanical resonators from aluminium-carbon nanotube nanolaminates", Nature Mater., 7, 459-463. https://doi.org/10.1038/nmat2181.
- Bakshi, S.R., Lahiri, D. and Agarwal, A. (2010). "Carbon nanotube reinforced metal matrixcomposites - a review", Int. Mater. Rev., 55(1),41-64. https://doi.org/10.1179/095066009X12572530170543.
- Belmahi, S., Zidour, M. and Meradjah, M. (2019), "Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory", Adv. Aircr. Spacecr. Sci., Int. J., 6(1), 001-018. https://doi.org/10.12989/aas.2019.6.1.001.
- Besseghier, A., Heireche, H., Bousahla, A.A., Tounsi, A. and Benzair, A. (2015), "Nonlinear Vibration Properties of a Zigzag Single-Walled Carbon Nanotube Embedded in a Polymer Matrix", Adv. Nano. Res., Int. J., 3(1), 29-37. https://doi.org/doi:10.12989/ANR.2015.3.1.029.
- Eatemadi, A., Daraee, H., Karimkhanloo, H., Kouhi, M., Zarghami, N., Akbarzadeh, A., Abasi, M., Hanifehpour, Y. and Joo, S.W. (2014), "Carbon nanotubes: properties, synthesis, purification, and medical applications", Nanoscale Res. Lett., 9, 393. https://doi.org/10.1186/1556-276X-9-393.
- Friebel, C., Doghri, I. and Legat, V. (2006), "General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions", Int. J. Solids Struct., 43(9), 2513-2541. https://doi.org/10.1016/j.ijsolstr.2005.06.035.
- Gao, H., Ji, B., Jager, I. L., Arzt, E. and Fratzl, P. (2003), "Materials become insensitive to flaws at nanoscale: Lessons from nature", Proc. Natl. Acad. Sci. USA, 100(10), 5597-5600. https://doi.org/10.1073/pnas.0631609100. http://dx.doi.org/10.1016/j.physe.2010.01.028. https://doi10.1088/0022-3727/43/42/425401.
- Huang, K., Zhang, S., Li, J. and Li, Z. (2019), "Nonlocal nonlinear model of Bernoulli-Euler nanobeam with small initial curvature and its application to single-walled carbon nanotubes", Microsyst. Technol., 25, 4303-4310. https://doi.org/10.1007/s00542-019-04365-8.
- Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano. Res., Int. J., 7(6), 431-442. https://doi.org/10.12989/anr.2019.7.6.431.
- Karlicic, D., Kozic, P. and Pavlovic, R. (2015), "Flexural vibration and buckling analysis of single-walled carbon nanotubes using different gradient elasticity theories based on Reddy and Huu-Tai formulations", J. Theor. App. Mech-Pol., 53(1), 217-233. https://doi.org/10.15632/jtam-pl.53.1.217.
- Kiani, K. (2014), "In- and out-of- plane dynamic flexural behaviors of two-dimensional ensembles of vertically aligned single-walled carbon nanotubes", Phys. B, 449, 164-180. https://doi.org/10.1016/j.physb.2014.04.044.
- Lestari, W. and Hanagud, S. (2001), "Nonlinear vibration ofbuckled beams: some exact solutions", Int. J. Solids Struct., 38(26-27), 4741-4757. https://doi.org/10.1016/S0020-7683(00)00300-0.
- Li, L., and Hu, Y. (2016), "Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded materiall", Int. J. Eng. Sci., 107, 77-97. https://doi.org/10.1016/j.ijengsci.2016.07.011.
- Majeed, W.I., Al-Samarraie, S.A. and Alsaior, M.M. (2013), "Vibration control analysis of a smart flexibale cantilever beam using smart material", J. Eng., 19(1). 82-95. https://doi.org/10.31026/j.eng.2013.01.06.
- Murmu, T. and Pradhan, S.C. (2009), "Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory", Comput. Mater. Sci., 46(4), 854-859. https://doi.org/10.1016/j.commatsci.2009.04.019.
- Narendar, S. and Gopalakrishnan, S. (2010), "Terahertz wave characteristics of a single-walled carbon nanotube containing a fluid flow using the nonlocal Timoshenko beam model", Physica E, 42(5) 1706-1712. https://doi.org/10.1016/j.physe.2010.01.028
- Nejati, M., Eslampanah, A. and Najafizadeh, M.H. (2016), "Buckling and vibration analysis of functionally graded carbon nanotube-reinforced beam under axial load", Int. Appl. Mech., 8(1), 1650008. https://doi.org/10.1142/S1758825116500083.
- Paul, R., Kumbhakar, P. and Mitra, A.K. (2013), "A facile chemical synthesis of a novel photo catalyst: SWCNT/titania nanocomposite", Adv. Nano Res., Int. J., 1(2), 71-82. https://doi.org/10.12989/anr.2013.1. 2.071.
- Rouhi, S., Ansari, R. and Ahmadi, M. (2017), "Finite element investigation into the thermal conductivity of carbon nanotube/aluminum nanocomposites", Mod. Phys. Lett. B, 31(6), 1750053. https://doi.org/10.1142/S0217984917500531.
- Selim, M.M. (2013), "Dispersion of Dilatation Wave Propagation in Single-Wall Carbon Nanotubes Under Initial Stress Using Nonlocal Scale Effects", J. Comput. Theo. Nanos., 10, 2547-2554. https://doi.org/10.1166/jctn.2013.3245.
- Selmi, A. (2019), "Effectiveness of SWNT in reducing the crack effect on the dynamic behavior of aluminium alloy", Adv. Nano Res., Int. J., 7(5), 365-377. https://doi.org/10.12989/anr.2019.7.5.365.
- Selmi, A. and Bisharat, A. (2018), "Free vibration of functionally graded SWNT reinforced aluminum alloy beam", J. Vibroeng., 20(5), 2151-2164. https://doi.org/10.21595/jve.2018.19445.
- Selmi, A., Friebel, C., Doghri, I. and Hassis, H. (2007), "Prediction of the elastic properties of single walled carbon nanotube reinforced polymers: A comparative study of several micromechanical models", Compos. Sci. Technol., 67(10), 2071-2084. https://doi.org/10.1016/j.compscitech.2006.11.016.
- Shaban, M. and Alibeigloo, A. (2014), "Three-dimensional vibration and bending analysis of carbon nanotubes embedded in elastic medium based on theory of elasticity", Lat. Am. j. solids struct., 11(12), 2122-2140. http://dx.doi.org/10.1590/S1679-78252014001200002.
- Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026.
- Shenas, A.G., Ziaee, S. and Malekzadeh, P. (2018), "A unified higher-order beam theory for free vibration and buckling of FGCNT-reinforced microbeams embedded in elastic medium based on unifying stress-strain gradient framework", Iran J. Sci. Technol. Trans. Mech. Eng., 43(1), 469-492. https://doi.org/10.1007/s40997-018-0171-z.
- Simsek, M. (2010), "Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory", Physica E, 43(1), 182-191. https://doi.org/10.1016/j.physe.2010.07.003.
- Soltani, P., Taherian, M.M. and Farshidianfar, A. (2010), "Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium", J. Phys. D Appl. Phys., 43(42), 425401.
- Wang, Q. and Varadan, V. (2006), "Vibration of carbon nanotubes studied using nonlocal continuum mechanics", Smart Mater. Struct., 15(2), 659. https://doi.org/10.1088/0964-1726/15/2/050.
- Yas, M.H.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Vessel. Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012.
- Zainuddin, H.B. and Ali, M.B. (2016), "Study of wheel rim impact test using finite element analysis", Proceedings of Mechanical Engineering Research Day, 141-142.
- Zhao, Y., Liu, K., Hou, H. and Chen, L.Q. (2022), "Role of interfacial energy anisotropy in dendrite orientation in Al-Zn alloys: A phase field study", Mater. Des., 216, 1-14, 110555. https://doi.org/10.1016/j.matdes.2022.110555.