DOI QR코드

DOI QR Code

Frequency and instability responses in nanocomposite plate assuming different distribution of CNTs

  • Farokhian, Ahmad (Mechanical Engineering group, Pardis College, Isfahan University of Technology) ;
  • Kolahchi, Reza (Institute of Research and Development, Duy Tan University)
  • Received : 2019.06.22
  • Accepted : 2019.10.19
  • Published : 2020.03.10

Abstract

The objective of present paper is assessment of dynamic buckling behavior of an embedded sandwich microplates in thermal environment in which the layers are reinforced through functionally graded carbon nanotubes (FG-CNTs). Therefore, mixture rule is taken into consideration for obtaining effective material characteristics. In order to model this structure much more realistic, Kelvin-Voigt model is presumed and the sandwich structure is rested on visco-Pasternak medium. Exponential shear deformation theory (ESDT) in addition to Eringen's nonlocal theory are utilized to obtain motion equations. Further, differential cubature method (DCM) as well as Bolotin's procedure are used to solve governing equations and achieve dynamic instability region (DIR) related to sandwich structure. Different parameters focusing on volume percent of CNTs, dispersion kinds of CNTs, thermal environment, small scale effect and structural damping and their influences upon the dynamic behavior of sandwich structure are investigated. So as to indicate the accuracy of applied theories as well as methods, the results are collated with another paper. According to results, presence of CNTs and their dispersion kind can alter system's dynamic response as well.

Keywords

References

  1. Avramov, K.V. (2018), "Nonlinear vibrations characteristics of single-walled carbon nanotubes by nonlocal elastic shell model", Int. J. Nonlin. Mech., 107, 149-160. https://doi.org/10.1016/j.ijnonlinmec.2018.08.017.
  2. Bian, L.C. and Wang, Y.W. (2019), "Temperature-related study on buckling properties of double-walled carbon nanotubes", Eur. J. Mech. A/Solids., 80, https://doi.org/10.1016/j.euromechsol.2019.103875.
  3. Chen, H., Li, X. P., Chen, Y. Y. and Huang, G.L. (2017), "Wave propagation and absorption of sandwich beams containing interior dissipative multi-resonators", Ultrasonics., 76, 99-108. https://doi.org/10.1016/j.ultras.2016.12.014.
  4. Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 544, 703-710. https://doi.org/10.1063/1.332803.
  5. Gul, U. and Aydogdu, M. (2017), "Wave propagation in double walled carbon nanotubes by using doublet mechanics theory", Physica. E., 93, 345-357. https://doi.org/10.1016/j.physe.2017.07.003.
  6. Herrmann, A.S., Zahlen, P.C. and Zuardy, I. (2005), "Sandwich Structures technology in commercial aviation", 7th International Conference on Sandwich Structures. 13-26, Aalborg, Danmark.
  7. Janghorban, M. and Nami, M.R. (2017), "Wave propagation in functionally graded nanocomposites reinforced with carbon nanotubes based on second-order shear deformation theory", Mech. Adv. Mater. Struct., 24, 458-468. https://doi.org/10.1080/15376494.2016.1142028.
  8. Jiao, P., Chen, Z., Li, Y., Ma, H. and Wu, J. (2019), "Dynamic buckling analyses of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under axial power-law time-varying displacement load", Compos. Struct., 220, 784-797. https://doi.org/10.1016/j.compstruct.2019.04.048.
  9. Katariya, P.V., Panda, S.K., Hirwani, C.K., Mehar, K. and Thakare, O. (2017), "Enhancement of thermal buckling strength of laminated sandwich composite panel structure embedded with shape memory alloy fibre", Smart. Struct. Syst., 20, 595-605. https://doi.org/10.12989/sss.2017.20.5.595.
  10. Lanhe, W., Wang, H. and Wang, D. (2007), "Dynamic stability analysis of FGM plates by the moving leastsquares differential quadrature method", Compos. Struct., 77, 383-394. https://doi.org/10.1016/j.compstruct.2005.07.011.
  11. Lei, Y., Adhikari, S. and Friswell, M.I. (2013), "Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams", Int. J. Eng. Sci., 66-67, 1-13. https://doi.org/10.1016/j.ijengsci.2013.02.004.
  12. Li, C., Shen, S.S. and Wang, H. (2019), "Nonlinear bending of sandwich beams with functionally graded negative Poisson's ratio honeycomb core", Compos. Struct., 212, 317-325. https://doi.org/10.1016/j.compstruct.2019.01.020.
  13. Liu, Y., Su, S., Huang, H. and Liang, Y. (2019), "Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane", Compos. B. Eng., 168, 236-242. https://doi.org/10.1016/j.compositesb.2018.12.063.
  14. Mehar, K. and Panda, S.K. (2017), "Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method", Polym. Compos., 39, 2751-2764. https://doi.org/10.1002/pc.24266.
  15. Mehar, K., Panda, S.K., Bui, T.Q. and Mahapatra, T.R. (2017), "Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM", J. Them. Stresses., 40, 899-916. https://doi.org/10.1080/01495739.2017.1318689.
  16. Mehar, K., Panda, S.K., Devarajan, Y. and Choubey, G. (2019), "Numerical buckling analysis of graded CNT-reinforced composite sandwich shell structure under thermal loading", Compos. Struct., 216, 406-414. https://doi.org/10.1016/j.compstruct.2019.03.002.
  17. Mehar, K. and Panda, S.K. and Mahapatra, T.R. (2017), "Thermoelastic nonlinear frequency analysis of CNT reinforced functionally graded sandwich structure", Eur. J. Mech. A/Solids., 65, 384-396. https://doi.org/10.1016/j.euromechsol.2017.05.005.
  18. Mirzaei, M. and Kiani, Y. (2016), "Thermal buckling of temperature dependent FG-CNT reinforced composite plates", Meccanica., 51, 2185-2201. https://doi.org/10.1007/s11012-015-0348-0.
  19. Panda, S.K. and Singh, B.N. (2009), "Thermal post-buckling behaviour of laminated composite cylindrical/hyperboloid shallow shell panel using nonlinear finite element method", Compos. Struct., 91, 366-374. https://doi.org/10.1016/j.compstruct.2009.06.004.
  20. Panda, S.K. and Singh, B.N. (2013), "Nonlinear finite element analysis of thermal post-buckling vibration of laminated composite shell panel embedded with SMA fibre", Aerosp. Sci. Technol., 29, 47-57. https://doi.org/10.1016/j.ast.2013.01.007.
  21. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos. Struct., 91, 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026.
  22. Thai, H.T. and Vo, T.P. (2013), "A new sinusoidal shear deformation theory for bending buckling and vibration of functionally graded plates", Appl. Math. Model., 37, 3269-3281. https://doi.org/10.1016/j.apm.2012.08.008.
  23. Vinson, J.R. (1999), The Behavior of Sandwich Structures of Isotropic and Composite Materials, CRC Press, Boca Raton.
  24. Wang, Q. (2005), "Wave propagation in carbon nanotubes via nonlocal continuum mechanics", J. Appl. Phys., 98, 124301. https://doi.org/10.1063/1.2141648.
  25. Xu, G., Zeng, T., Cheng, S., Wang, X. and Zhang, K. (2019), "Free vibration of composite sandwich beam with graded corrugated lattice core", Compos. Struct., 229, 111466. https://doi.org/10.1016/j.compstruct.2019.111466.
  26. Zhang, L.W., Song, Z.G. and Liew, K.M. (2015), "Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method", Compos. Struct., 128, 165-175. https://doi.org/10.1016/j.compstruct.2015.03.011.