Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

On the large plastic deformation of tubular beams under impact loading

  • Wang, B. (School of Mechanical and Production Engineering, Nanyang Technology University)
  • Published : 1995.09.25
⟨ Previous Next ⟩

Abstract

When a tubular cantilever beam is loaded by a dynamic force applied transversely at its tip, the strain hardening of the material tends to increase the load carrying capacity and local buckling and cross-sectional overlization occurring in the tube section tends to reduce the moment carrying capacity and results in structural softening. A theoretical model is presented in this paper to analyze the deformation of a tubular beam in a dynamic response mode. Based on a large deflection analysis, the hardening/softening M-${\kappa}$ relationship is introduced. The main interest is on the curvature development history and the deformed configuration of the beam.

Keywords

References

  1. Calladine, C.R. (1983), Plastic buckling of tubes in pure bending, Collapse: the Buckling of Structures in Theory and Practice( ed. by Thompson, J.M.T. and Hunt, G.W.), Cambridge, 111-124.
  2. Jones, N. (1989), Structural impact, Cambridge University Press.
  3. Kyriakides, S. and Ju, G.T. (1992), "Bifurcation and localization instabilities in cylindrical shell under bending-I. Experiments", Int. J. Solids Structures, 29, 1117-1142. https://doi.org/10.1016/0020-7683(92)90139-K
  4. Parkes, E.W. (1955), "The permanent deformation of a cantilever struck transversely at its tip", Proc. Royal Society, Series A, 228, 482-476.
  5. Reddy, B.D. (1979), "Plastic buckling of a cylindrical shell in pure bending", Int. J. Mech Sci., 21, 671-679. https://doi.org/10.1016/0020-7403(79)90046-8
  6. Reid, S.R. and Gui, X. (1987), "On the elastic-plastic deformation of cantilever beams subjected to tip impact", Int. J. Impact Engng, 2, 109-127.
  7. Reid, S.R., Wang, B. and Yu, T.X. (1995a), "Yield mechanisms of a bent cantilever beam subjected to a suddenly applied constant out-of-plane tip force", Int. J. Impact Engng., 16, 49-73. https://doi.org/10.1016/0734-743X(94)00033-S
  8. Reid, S.R. and Wang, B. (1995b), "Large deflection analysis of whipping pipes-Part I: Rigid-perfectly plastic model", ASCE Journal of Engineering Mechanics, in Press.
  9. Strong, W.J. and Yu, T.X. (1993), Dynamic models for structural plasticity, Springer-Verlag.
  10. Yu, T.X., Reid, S.R. and Wang, B. (1993), "Hardening-softening behavior of tubular cantilever beams", Int. J. Mech. Sci., 35, 1021-1033. https://doi.org/10.1016/0020-7403(93)90053-W
  11. Wang, X. and Yu, T.X. (1991), "Parkes revised: when elastic deformation at the root of a cantilever beam is involved", Int. J. Impact Engng., 11, 197-209. https://doi.org/10.1016/0734-743X(91)90006-2
  12. Wang, B. (1994), "Failure mechanisms of a rigid-perfectly plastic cantilever with elastic deformation at its root subjected to tip pulse loading", Structural Engineering and Mechanics, 2(2), 141-156. https://doi.org/10.12989/sem.1994.2.2.141