Effect of Delamination, Stacking Sequence, and Boundary Conditions on the Vibration Response of CNT-Reinforced CFRP Plates

Authors

  • Muhammad Imran Department of Mechanical Engineering, Faculty of Engineering & Technology, International Islamic University, Islamabad, Pakistan

DOI:

https://doi.org/10.31181/rme534

Keywords:

Carbon Nanotubes, Finite Element Analysis, MATLAB Solver, Composite Material, Natural Frequency, Carbon Fiber Reinforced Polymer, Delamination, Vibration Analysis, Rayleigh-Ritz Method

Abstract

Carbon fiber reinforced polymer (CFRP) composite structures are widely used in the field of aerospace, automotive and marine construction because they are very stiff compared to their weight, but dynamic performance is extremely vulnerable to delamination damage and laminate geometry. Nanotechnology developments in the recent past have also suggested that carbon nanotube (CNT) reinforcement may effectively improve matrix-dominated properties and damage tolerance. This paper provides an investigation of the behavior of delaminated CNT-reinforced CFRP composite plate under vibration with the combined effects of CNT contents, delamination size, stacking sequence, and boundary conditions. The application is done in the form of a predictive of natural frequencies and mode shapes via the use of finites element modeling in ANSYS and a developed mode-based formulation of prediction of natural frequencies and mode shapes through an analytical RayleighRitz modeling of MATLAB. The process of experimental modal testing is carried out in order to confirm the numerical and analytical findings. Cross-ply, angle-ply and quasi-isotropic laminates of 0%, 0.5% and 1.0% CNT weight are considered with simply supported, clamped clamped and free-free boundary conditions. These findings prove that CNT reinforcement brings about a significant rise in natural frequencies and gives a significant reduction in stiffness degradation caused by delamination, and quasi-isotropic laminates are the most sensitive to CNT enhancement. The natural frequencies in all configurations decrease monotonically with the delamination size and the clamped boundary condition always gives the highest frequency values. Close agreement is observed between the finite element predictions, analytical solutions, and experimental results, with mean absolute percentage errors within 4.3%. The results provide quantitative data that are relevant to the vibration-based design and damage-tolerant optimization of CNT-enhanced composite structures in advanced mechanical engineering applications.

References

Agarwal, B. D., Broutman, L. J., & Chandrashekhara, K. (2017). Analysis and performance of fiber composites. John Wiley & Sons. https://doi.org/10.1115/1.3157582

Agarwal, K., Kuchipudi, S. K., Girard, B., & Houser, M. (2018). Mechanical properties of fiber reinforced polymer composites: A comparative study of conventional and additive manufacturing methods. Journal of Composite Materials, 52(23), 3173-3181. https://doi.org/10.1177/0021998318762297

Alexopoulos, N., Bartholome, C., Poulin, P., & Marioli-Riga, Z. (2010). Structural health monitoring of glass fiber reinforced composites using embedded carbon nanotube (CNT) fibers. Composites Science and Technology, 70(2), 260-271. https://doi.org/10.1016/j.compscitech.2009.10.017

Chakraborty, S., Singh, V., Dey, T., & Kumar, R. (2024). Influence of Carbon Nanotubes on Stability and Vibration Characteristics of Plates and Panels in Thermal Environment: A Review Archives of Computational Methods in Engineering, 31(1), 147-178. https://doi.org/10.1007/s11831-023-09976-z

Coleman, J. N., Khan, U., Blau, W. J., & Gun’ko, Y. K. (2006). Small but strong: a review of the mechanical properties of carbon nanotube–polymer composites. Carbon, 44(9), 1624-1652. https://doi.org/10.1016/j.carbon.2006.02.038

Das, S., & Sarangi, S. (2016). Static analysis of functionally graded composite beams. In IOP Conference Series: Materials Science and Engineering (Vol. 149, pp. 012138). IOP Publishing. https://doi.org/10.1088/1757-899X/149/1/012138

Fang, B., Chang, D., Xu, Z., & Gao, C. (2020). A review on graphene fibers: expectations, advances, and prospects. Advanced materials, 32(5), 1902664. https://doi.org/10.1002/adma.201902664

Friedrich, K., & Almajid, A. A. (2013). Manufacturing aspects of advanced polymer composites for automotive applications. Applied Composite Materials, 20(2), 107-128. https://doi.org/10.1007/s10443-012-9258-7

García-Macías, E., Castro-Triguero, R., Flores, E. I. S., Friswell, M. I., & Gallego, R. (2016). Static and free vibration analysis of functionally graded carbon nanotube reinforced skew plates. Composite Structures, 140, 473-490. https://doi.org/10.1016/j.compstruct.2015.12.044

Garcia, C., Trendafilova, I., Zucchelli, A., & Contreras, J. (2018). The effect of nylon nanofibers on the dynamic behaviour and the delamination resistance of GFRP composites. In MATEC Web of Conferences (Vol. 148). https://doi.org/10.1051/matecconf/201814814001

Hassan, S. A., Santulli, C., Yahya, M. Y., Gang, C. L., & Abu Bakar, M. N. (2018). The potential of biomimetics design in the development of impact resistant material. FME TRANSACTIONS, 46(1), 108-116. https://doi.org/10.5937/fmet1801108H

Iijima, S. (1991). Helical microtubules of graphitic carbon. Nature, 354(6348), 56-58. https://doi.org/10.1038/354056a0

Kinloch, I. A., Suhr, J., Lou, J., Young, R. J., & Ajayan, P. M. (2018). Composites with carbon nanotubes and graphene: An outlook. Science, 362(6414), 547-553. https://doi.org/10.1126/science.aat7439

Lei, Z., Zhang, L., & Liew, K. (2015). Free vibration analysis of laminated FG-CNT reinforced composite rectangular plates using the kp-Ritz method. Composite Structures, 127, 245-259. https://doi.org/10.1016/j.compstruct.2015.03.019

Liew, K., Lei, Z., & Zhang, L. (2015). Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review. Composite Structures, 120, 90-97. https://doi.org/10.1016/j.compstruct.2014.09.041

Luo, H., & Hanagud, S. (2000). Dynamics of delaminated beams. International Journal of Solids and Structures, 37(10), 1501-1519. https://doi.org/10.1016/S0020-7683(98)00325-4

Mehar, K., Panda, S. K., Dehengia, A., & Kar, V. R. (2016). Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment. Journal of Sandwich Structures & Materials, 18(2), 151-173. https://doi.org/10.1177/1099636215613324

Pingulkar, P., & Suresha, B. (2016). Free vibration analysis of laminated composite plates using finite element method. Polymers and Polymer Composites, 24(7), 529-538. https://doi.org/10.1177/096739111602400712

Qian, D., Dickey, E. C., Andrews, R., & Rantell, T. (2000). Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Applied physics letters, 76(20), 2868-2870. https://doi.org/10.1063/1.126500

Rafiee, M., Nitzsche, F., & Labrosse, M. (2017). Dynamics, vibration and control of rotating composite beams and blades: A critical review. Thin-Walled Structures, 119, 795-819. https://doi.org/10.1016/j.tws.2017.06.018

Ramanathan, T., Abdala, A., Stankovich, S., Dikin, D., Herrera-Alonso, M., Piner, R., Adamson, D., Schniepp, H., Chen, X., & Ruoff, R. (2008). Functionalized graphene sheets for polymer nanocomposites. Nature nanotechnology, 3(6), 327-331. https://doi.org/10.1038/nnano.2008.96

Shen, H.-S. (2009). Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures, 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026

Shen, M.-H., & Grady, J. (1992). Free vibrations of delaminated beams. AIAA Journal, 30(5), 1361-1370. https://doi.org/10.2514/3.11072

Shokrieh, M. M., & Rafiee, R. (2010). Investigation of nanotube length effect on the reinforcement efficiency in carbon nanotube based composites. Composite Structures, 92(10), 2415-2420. https://doi.org/10.1016/j.compstruct.2010.02.018

Spitalsky, Z., Tasis, D., Papagelis, K., & Galiotis, C. (2010). Carbon nanotube–polymer composites: chemistry, processing, mechanical and electrical properties. Progress in polymer science, 35(3), 357-401. https://doi.org/10.1016/j.progpolymsci.2009.09.003

Thornburgh, R., & Chattopadhyay, A. (2002). Modeling the dynamic effects of delamination in adaptive composite laminate. In 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (pp. 1443). https://doi.org/10.2514/6.2002-1443

Thostenson, E. T., & Chou, T. W. (2006). Carbon nanotube networks: sensing of distributed strain and damage for life prediction and self healing. Advanced materials, 18(21), 2837-2841. https://doi.org/10.1002/adma.200600977

Thostenson, E. T., Ren, Z., & Chou, T.-W. (2001). Advances in the science and technology of carbon nanotubes and their composites: a review. Composites Science and Technology, 61(13), 1899-1912. https://doi.org/10.1016/S0266-3538(01)00094-X

Treacy, M. J., Ebbesen, T. W., & Gibson, J. M. (1996). Exceptionally high Young's modulus observed for individual carbon nanotubes. Nature, 381(6584), 678-680. https://doi.org/10.1038/381678a0

Tsai, K. H., Hwan, C. L., Lin, M. J., Lo, C. C., & Hwang, J. L. (2017). Free vibration of braided composite plates with a center hole. . Journal of the Chinese Society of Mechanical Engineers, 38(2), 135-144. https://tinyurl.com/bdebwkxr

Tseng, H.-C., Chang, R.-Y., & Hsu, C.-H. (2017). Numerical prediction of fiber orientation and mechanical performance for short/long glass and carbon fiber-reinforced composites. Composites Science and Technology, 144, 51-56. https://doi.org/10.1016/j.compscitech.2017.02.020

Vo, T. P., Thai, H.-T., & Aydogdu, M. (2017). Free vibration of axially loaded composite beams using a four-unknown shear and normal deformation theory. Composite Structures, 178, 406-414. https://doi.org/10.1016/j.compstruct.2017.07.022

Yu, M.-F., Files, B. S., Arepalli, S., & Ruoff, R. S. (2000). Tensile Loading of Ropes of Single Wall Carbon Nanotubes and their Mechanical Properties. Physical Review Letters, 84(24), 5552-5555. https://doi.org/10.1103/PhysRevLett.84.5552

Zhang, H., Ibarra-Castanedo, C., Maldague, X., Sfarra, S., Perilli, S., Sarasini, F., Fernandes, H., Duan, Y., Peeters, J., & Avdelidis, N. (2018). Optical and mechanical excitation thermography for impact response in basalt-carbon hybrid fiber-reinforced composite laminates. IEEE transactions on industrial informatics, 14(2), 514-522. https://doi.org/10.1109/TII.2017.2744179

Zhang, X., Zhao, N., & He, C. (2020). The superior mechanical and physical properties of nanocarbon reinforced bulk composites achieved by architecture design–a review. Progress in Materials Science, 113, 100672. https://doi.org/10.1016/j.pmatsci.2020.100672

Zhang, Z., Shankar, K., Morozov, E. V., & Tahtali, M. (2016). Vibration-based delamination detection in composite beams through frequency changes. Journal of Vibration and Control, 22(2), 496-512. https://doi.org/10.1177/1077546314533584

Zou, Y., Tong, L., & Steven, G. P. (2000). Vibration-based model-dependent damage (delamination) identification and health monitoring for composite structures—a review. Journal of sound and vibration, 230(2), 357-378. https://doi.org/10.1006/jsvi.1999.2624

Downloads

Published

2026-03-05

How to Cite

Effect of Delamination, Stacking Sequence, and Boundary Conditions on the Vibration Response of CNT-Reinforced CFRP Plates. (2026). Reports in Mechanical Engineering, 7(1), 54-70. https://doi.org/10.31181/rme534