Vol. 23 No. 2 (2020) Cover Image
Vol. 23 No. 2 (2020)

Published: September 30, 2020

Pages: 127-136

Articles

Nonlinear Vibration Analysis of Functionally Graded Carbon Nanotubes Sandwich Cylindrical Panels

Senaa S. Hafidh 1 Hamad M. Hasan 1 Farag M. Mohammed 2
1 Mechanical Eng. Dept., University of Anbar
2 Electromechanical Eng.Dept., University of Technology, Iraq
History
  • Received: November 19, 2019
  • Revised: December 25, 2019
  • Accepted: March 16, 2020
  • Available Online: September 18, 2020
DOI

https://doi.org/10.29194/NJES.23020127

Abstract

In this research, we investigate the nonlinear vibration of functionally graded carbon nanotubes (FG-CNTs) for simply supported sandwich cylindrical panels. The sandwich consisting of three layers formed of (FG-CNTs) and isotropic material as (CNT, ALMINUME, CNT).  Mechanical properties of the sandwich media are acquired according to a re?ned rule of blend approach. The governing equations were derived using a first-order deformation theory (FOSDT). Four kinds of carbon nanotubes of sandwich cylindrical panels were analyzed. The volume fraction of CNTs is varied. The properties of nonlinear responses and free vibration are studied. The numerical approach employs the fourth-order Runge-Kutta and Galerkine procedure. Which conducted for the dynamic analysis of the panels to present the natural frequencies and non-linear dynamic response expression. The results show that; the natural frequencies and the nonlinear vibration amplitude decrease with the volume fraction and thickness ratio increase. The nonlinear vibration amplitude response increases when increasing the excitation force. The initial imperfection and the elastic foundation have a minor impact on the nonlinear vibration response of the panel. The Pasternak Foundation has a larger impact than the Winkler foundation. The structure formed of FG-CNT present an excellent choice for high-performance of engineering applications.

Keywords

References

  1. P. Zhu, Z. X. Lei, and K. M. Liew, “Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first-order shear deformation plate theory,” Compos. Struct., vol. 94, no. 4, pp. 1450–1460, 2012.
  2. M. H. Yas, A. Pourasghar, S. Kamarian, and M. Heshmati, “Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube,” Mater. Des., vol. 49, pp. 583–590, 2013.
  3. J. E. Jam, A. Pourasghar, S. Kamarian, and N. Namdaran, “Free vibration analysis of functionally graded nanocomposite cylindrical panel reinforced by carbon nanotube,” Metall. Mater. Eng., vol. 19, no. 3, pp. 203–216, 2013.
  4. A. Alibeigloo, “Free vibration analysis of functionally graded carbon nanotube-reinforced composite cylindrical panel embedded in piezoelectric layers by using the theory of elasticity,” Eur. J. Mech., vol. 44, pp. 104–115, 2014.
  5. A. H. Sofiyev, “The vibration and buckling of sandwich cylindrical shells covered by different coatings subjected to the hydrostatic pressure,” Compos. Struct., vol. 117, pp. 124–134, 2014.
  6. Z. X. Lei, L. W. Zhang, K. M. Liew, and J. L. Yu, “Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free KP-Ritz method,” Compos. Struct., vol. 113, pp. 328–338, 2014.
  7. A. H. Sofiyev, “Influences of shear stresses on the dynamic instability of exponentially graded sandwich cylindrical shells,” Compos. Part B Eng., vol. 77, pp. 349–362, 2015.
  8. A. H. Sofiyev, D. Hui, S. E. Huseynov, M. U. Salamci, and G. Q. Yuan, “Stability and vibration of sandwich cylindrical shells containing a functionally graded material core with transverse shear stresses and rotary inertia effects,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 230, no. 14, pp. 2376–2389, 2016.
  9. H.-S. Shen, “Postbuckling of nanotube-reinforced composite cylindrical panels resting on elastic foundations subjected to lateral pressure in thermal environments,” Eng. Struct., vol. 122, pp. 174–183, 2016.
  10. Y. Kiani, “Dynamics of FG-CNT reinforced composite cylindrical panel subjected to moving load,” Thin-Walled Struct., vol. 111, pp. 48–57, 2017.
  11. Q. Wang, B. Qin, D. Shi, and Q. Liang, “A semi-analytical method for vibration analysis of functionally graded carbon nanotube-reinforced composite doubly-curved panels and shells of revolution,” Compos. Struct., vol. 174, pp. 87–109, 2017.
  12. J. Fan, J. Huang, J. Ding, and J. Zhang, “Free vibration of functionally graded carbon nanotube-reinforced conical panels integrated with piezoelectric layers subjected to elastically restrained boundary conditions,” Adv. Mech. Eng., vol. 9, no. 7, p. 1687814017711811, 2017.
  13. K. Gao, W. Gao, D. Wu, and C. Song, “Nonlinear dynamic stability of the orthotropic functionally graded cylindrical shell surrounded by Winkler-Pasternak elastic foundation subjected to a linearly increasing load,” J. Sound Vib., vol. 415, pp. 147–168, 2018.
  14. A. K. Baltacıoğlu and Ö. Civalek, “Vibration analysis of circular cylindrical panels with CNT reinforced and FGM composites,” Compos. Struct., vol. 202, pp. 374–388, 2018.
  15. Q. Li, D. Wu, X. Chen, L. Liu, Y. Yu, and W. Gao, “Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler--Pasternak elastic foundation,” Int. J. Mech. Sci., vol. 148, pp. 596–610, 2018.
  16. P. T. Thang, T. N. Thoi, and J. Lee, “Closed-form solution for nonlinear buckling analysis of FG-CNTRC cylindrical shells with initial geometric imperfections,” Eur. J. Mech., vol. 73, pp. 483–491, 2019.
  17. P. T. Thang, “Geometrically nonlinear buckling analysis of functionally graded carbon nanotube-reinforced cylindrical panels resting on Winkler–Pasternak elastic foundation,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 233, no. 2, pp. 702–712, 2019.
  18. Q. Wang, X. Cui, B. Qin, and Q. Liang, “Vibration analysis of the functionally graded carbon nanotube-reinforced composite shallow shells with arbitrary boundary conditions,” Compos. Struct., vol. 182, pp. 364–379, 2017.
  19. L. W. Zhang, Z. X. Lei, K. M. Liew, and J. L. Yu, “Static and dynamic of carbon nanotube-reinforced functionally graded cylindrical panels,” Compos. Struct., vol. 111, pp. 205–212, 2014.
  20. D. H. Bich, D. Van Dung, V. H. Nam, and N. T. Phuong, “Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression,” Int. J. Mech. Sci., vol. 74, pp. 190–200, 2013.
  21. M. Mirzaei and Y. Kiani, “Free vibration of functionally graded carbon nanotube-reinforced composite cylindrical panels,” Compos. Struct., vol. 142, pp. 45–56, 2016.