Failure mechanisms of a rigid-perfectly plastic cantilever with elastic deformation at its root subjected to tip pulse loading

  • Wang, B. (School of Mechanical and Production Engineering, Nanyang Technology University)
  • Published : 1994.06.25


In this paper, the effect of material elasticity was evaluated through a simple model as proposed by Wang and Yu (1991), for yield mechanisms of a cantilever beam under tip pulse loading. The beam was assumed rigid-perfectly plastic but instead of the usual fully clamped constraints at its root, an elastic-perfectly plastic rotational spring was introduced there so the system had a certain capacity to absorb elastic energy. Compared with a rigid-perfectly plastic beam without a spring root, the present beam-spring model showed differences in the initial plastic hinge position and the minimum magnitude of the dynamic force needed to produce a plastic failure. It was also shown that various failure responses may happen while the hinge travels along the beam segment towards the root, rather than a unique response mode as in a rigid perfectly plastic analysis.


  1. Jones, N. (1989a), Structural Impact, London, Cambridge University Press.
  2. Jones, N. (1989b), "Recent studies on the dynamic plastic behavior of structures", Appl. Mech. Rev. 42, 95-115.
  3. Lee, E. H. and Symonds, P. S. (1952), "Large plastic deformation of beams under transverse impact". J. Appl. Mech., 19, 308-314.
  4. Parkes, E. W. (1955), "The permanent deformation of a cantilever struck transversely at its tip", Proc. R. Soc. Lond., Series A, 228, 482-476.
  5. Reid, S. R. and Gui, X. (1987), "On the elastic-plastic deformation of cantilever beams subjected to tip impact", Int. J. Impact Engng., 6. 109-127.
  6. Reid, S. R., Hua, Y. L. and Yang, J. (1990), "Response of a bent cantilever to a rectangular force pulse applied at its tip normal to its plane", Int. J. Impact Engng., 9, 485-502.
  7. Symonds, S. R. and Fleming, W. (1984), "Parkes revisited: on rigid-plastic and elastic-plastic dynamic structural analysis", Int. J. Impact Engng., 2, 1-36.
  8. Wang, X. and Yu, T. X. (1991), "Parkes revisited: when elastic deformation at the root of a cantilever beam is involved". Int. J. Impact Engng., 11, 197-209.