The time-dependent progressive evolution of transverse displacements of an axially impacted, slender, geometrically imperfect, column is studied here. The analysis is concerned with evaluating the time-history associated with the evolution of the buckling response as a function of the initial geometric imperfection amplitude. The exact solution of the axial stress wave propagation is employed to study the physics of the buckling response with the nonuniform axial strain distribution varying in time and space. The responses of axially impacted columns are examined in light of past experimental results and associated numerical solutions. Results in the present paper are limited to elastic column behavior.
Issue Section:
Research Papers
References
1.
Koning
, C.
, and Taub
, J.
, 1934
, “Impact Buckling of Thin Bars in the Elastic Range Hinged at Both Ends
,” National Advisory Committee for Aeronautics—Technical Memorandums
.2.
Taub
, J.
, 1934
, “Impact Buckling of Thin Bars in Elastic Range for Any End Condition
,” National Advisory Committee for Aeronautics—Technical Memorandums, Report Review 749
.3.
Meier
, J.
, 1945
, “On the Dynamics of Elastic Buckling
,” J. Aeronaut. Sci.
, 12
(4
), pp.
433
–440
.4.
Hoff
, N. J.
, 1951
, “Dynamics of Buckling of Elastic Columns
,” ASME J. Appl. Mech.
, 18
(1
), pp.
68
–74
.5.
Davidson
, J. F.
, 1953
, “Buckling of Struts Under Dynamic Loading
,” J. Mech. Phys. Solids
, 2
(1
), pp.
54
–66
.10.1016/0022-5096(53)90027-16.
Sevin
, E.
, 1960
, “On Elastic Bending of Columns Due to Dynamic Axial Forces Including Effects of Axial Inertia
,” ASME J. Appl. Mech.
, 27
(1
), pp.
125
–131
.10.1115/1.36438867.
Budiansky
, B.
, and Roth
, R.S.
, 1962
, “Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shells
,” Collected Papers on Instability of Shell Structures
, Technical Report NASA TN D-1510
.8.
Hutchinson
, J. W.
, and Budiansky
, B.
, 1966
, “Dynamic Buckling Estimates
,” AIAA J.
, 4
(3
), pp.
525
–530
.10.2514/3.34689.
Hsu
, C. S.
, 1967
, “The Effects of Various Parameters on the Dynamic Stability of a Shallow Arch
. ASME J. Appl. Mech.
, 34
(2
), pp.
349
–356
.10.1115/1.360768910.
Bolotin
, V. V.
, 1964
, The Dynamic Stability of Elastic Systems
, Holden-Day
, London
.11.
Ari-Gur
, J.
, Weller
, T.
, and Singer
, J.
, 1982
, “Experimental and Theoretical Studies of Columns Under Axial Impact
,” Int. J. Solids Struct.
, 18
(7
), pp.
619
–641
.10.1016/0020-7683(82)90044-012.
Simitses
, G. J.
, 1989
, Dynamic Stability of Suddenly Loaded Structures
Springer-Verlag
, New York
.13.
Kenny
, S.
, Taheri
, F.
, and Pegg
, N.
, 2000
, “Dynamic Elastic Buckling of a Slender Beam With Geometric Imperfections Subject to an Axial Impulse
,” Finite Elem. Anal. Des.
, 35
(3
) pp.
, 227
–246
.10.1016/S0168-874X(99)00067-014.
Wang
, A.
, and Tian
, W.
, 2002
, “Twin-Characteristic-Parameter Solution for Dynamic Buckling of Columns Under Elastic Compression Wave
,” Int. J. Solids Struct.
, 39
(4
) pp.
861
–877
.10.1016/S0020-7683(01)00245-115.
Gladden
, J. R.
, Handzy
, N. Z.
, Belmonte
, A.
, and Villermaux
, E.
2005
, “Dynamic Buckling and Fragmentation in Brittle Rods
,” Phys. Rev. Lett.
, 94
(3
), p. 035503
.10.1103/PhysRevLett.94.03550316.
Vaughn
, D. G.
, and Hutchinson
, J. W.
, 2006
, “Bucklewaves
,” Eur., J. Mech.-A Solids.
, 25
(1
), pp.
1
–12
.10.1016/j.euromechsol.2005.09.00317.
Ji
, W.
, and Waas
, A. M.
, 2010
, “Fragmentation of an Axially Impacted Slender Rod
,” Europhys. Lett.
, 89
(4
), p. 46003
.10.1209/0295-5075/89/4600318.
Ji
, W.
, and Waas
, A. M.
, 2008
, “Dynamic Bifurcation Buckling of an Impacted Column
,” Int. J. Eng. Sci.
, 46
(10
) pp.
958
–967
.10.1016/j.ijengsci.2008.04.003Copyright © 2013 by ASME
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