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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


An Analytical Study of GLARE Cantilever Beams Under Low Velocity Impact

Journal of Applied Nonlinear Dynamics 10(1) (2021) 161--172 | DOI:10.5890/JAND.2021.03.010

Bashar Dheyaa Hussein Al-Kasob , Ali Assim Al-Obaidi, Ali Jahel Salaman

Department of Power Mechanics, Technical Institute of Babylon, Al-Furat Al-Awsat Technical University, Iraq

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Abstract

Low velocity impact response of GLARE (GLAss REinforced aluminium laminate) beam based on First Order Shear Deformation Theory is studied. The system energy is written and using Ritz method and generalized Lagrange equations, the motion equations are derived. Good agreement is achieved between this analytical method and available results. Results reveal that an increase of the impactor initial velocity causes increasing in the peak of contact force and peak of central beam deflection but decreasing contact time. Also, increasing of the impactor radius will enhances the peak of contact force and diminish peak of central beam deflection and contact time.

References

  1. [1]  Chai, G.B., and Manikandan, P. (2014), Low velocity impact response of fibre-metal laminates---A review, Composite Structures, 107, 363-381.
  2. [2]  Vlot, A., Vogelesang, L., and De Vries, T. (1999), Towards application of fibre metal laminates in large aircraft, Aircraft Engineering and Aerospace Technology, 71(6), 558-570.
  3. [3]  Wu, G. and Yang, J.M. (2005), The mechanical behavior of GLARE laminates for aircraft structures, Jom, 57(1), 72-79.
  4. [4]  Shivakumar, K., Elber, W., and Illg, W. (1985), Prediction of low-velocity impact damage in thin circular laminates, AIAA journal, 23(3), 442-449.
  5. [5]  Cantwell, W.J. and Morton, J. (1991), The impact resistance of composite materials --- a review, Composites, 22(5), 347-362.
  6. [6]  Richardson, M. and Wisheart, M. (1996), Review of low-velocity impact properties of composite materials, Composites Part A: Applied Science and Manufacturing, 27(12), 1123-1131.
  7. [7]  Sadighi, M., Alderliesten, R., and Benedictus, R. (2012), Impact resistance of fiber-metal laminates: A review, International Journal of Impact Engineering, 49, 77-90.
  8. [8]  Lam, K. and Sathiyamoorthy, T. (1999), Response of composite beam under low-velocity impact of multiple masses, Composite Structures, 44(2-3), 205-220.
  9. [9]  Yalamanchili, V. and Sankar, B. (2012), Indentation of functionally graded beams and its application to low-velocity impact response, Composites Science and Technology, 72(16), 1989-1994.
  10. [10]  Kiani, Y., Sadighi, M., Salami, S.J., and Eslami, M. (2013), Low velocity impact response of thick FGM beams with general boundary conditions in thermal field, Composite Structures, 104, 293-303.
  11. [11]  Akbaripanah, F. and Ranjbar, M. (2017), Low velocity impact analysis of functionally graded ceramic-metal beam in simply and clamped supported boundary conditions, Modares Mechanical Engineering, 17(10), 112-122.
  12. [12]  Iva\~{n}ez, I., Barbero, E., and Sanchez-Saez, S. (2014), Analytical study of the low-velocity impact response of composite sandwich beams, Composite Structures, 111, 459-467.
  13. [13]  Sadeghpour, E., Afshin, M., and Sadighi, M. (2015), A theoretical investigation on low-velocity impact response of a curved sandwich beam, International Journal of Mechanical Sciences, 101, 21-28.
  14. [14]  Sisi, M.K., Shakeri, M., and Sadighi, M. (2015), Dynamic response of composite laminated beams under asynchronous/repeated low-velocity impacts of multiple masses, Composite Structures, 132, 960-973.
  15. [15]  Jam, J. and Kiani, Y. (2015), Low velocity impact response of functionally graded carbon nanotube reinforced composite beams in thermal environment, Composite Structures, 132, 35-43.
  16. [16]  Zhang, J., Qin, Q., Xiang, C., Wang, Z., and Wang, T. (2016), A theoretical study of low-velocity impact of geometrically asymmetric sandwich beams, International Journal of Impact Engineering, 96, 35-49.
  17. [17]  Heydari-Meybodi, M., Saber-Samandari, S., and Sadighi, M. (2016), An experimental study on low-velocity impact response of nanocomposite beams reinforced with nanoclay, Composites Science and Technology, 133, 70-78.
  18. [18]  Zhang, J., Qin, Q., Xiang, C., and Wang, T. (2016), Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact, Composite Structures, 153, 614-623.
  19. [19]  Ranjbar, M. and Feli, S. (2018), Low velocity impact analysis of an axially functionally graded carbon nanotube reinforced cantilever beam, Polymer Composites, 39(S2), E969-E983.
  20. [20]  Ranjbar, M. and Feli, S. (2019), Temperature-dependent analysis of axially functionally graded CNT reinforced micro-cantilever beams subjected to low velocity impact, Mechanics of Advanced Materials and Structures, 26(13), 1154-1168.
  21. [21]  Ranjbar, M. and Feli, S. (2019), Mechanical and low-velocity impact properties of epoxy-composite beams reinforced by MWCNTs, Journal of Composite Materials, 53(5), 693-705.
  22. [22]  Salami, S.J. (2017), Low velocity impact response of sandwich beams with soft cores and carbon nanotube reinforced face sheets based on extended high order sandwich panel theory, Aerospace Science and Technology, 66, 165-176.
  23. [23]  Najafi, F., Shojaeefard, M., and Googarchin, H.S. (2017), Nonlinear dynamic response of FGM beams with Winkler-Pasternak foundation subject to noncentral low velocity impact in thermal field, Composite Structures, 167, 132-143.
  24. [24]  Qin, Q., Xiang, C., Zhang, J., Wang, M., Wang, T., and Poh, L. (2017), On low-velocity impact response of metal foam core sandwich beam: a dual beam model, Composite Structures, 176, 1039-1049.
  25. [25]  Fan, Y., Xiang, Y., Shen, H.S., and Wang, H. (2018), Low-velocity impact response of FG-GRC laminated beams resting on visco-elastic foundations, International Journal of Mechanical Sciences, 141, 117-126.
  26. [26]  Vishwas, M., Joladarashi, S., and Kulkarni, S. (2018), Modelling and analysis of material behaviour under normal and oblique low velocity impact, Materials Today: Proceedings, 5(2), 6635-6644.
  27. [27]  Jing, L., Su, X., Chen, D., Yang, F., and Zhao, L. (2019), Experimental and numerical study of sandwich beams with layered-gradient foam cores under low-velocity impact, Thin-Walled Structures, 135, 227-244.
  28. [28]  Lin, F. and Xiang, Y. (2014), Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories, Applied Mathematical Modelling, 38(15-16), 3741-3754.
  29. [29]  Wang, Z.X., Xu, J., and Qiao, P. (2014), Nonlinear low-velocity impact analysis of temperature-dependent nanotube-reinforced composite plates, Composite Structures, 108, 423-434.