The buckling of a column affected by both an internal hinge and an elastic foundation is studied analytically. It is found that the elastic foundation raises the buckling force, but nonlinearly. The optimum locations for the hinge are determined.
1.
Timoshenko
, S. P.
, and Gere
, J. M.
, 1961, Theory of Elastic Stability
, McGraw-Hill
, New York
.2.
Wang
, C. Y.
, 1987, “Optimum Location of an Interior Hinge on a Column
,” J. Struct. Eng.
0733-9445, 113
, pp. 161
–165
.3.
Wang
, C. Y.
, 2002, “Buckling of an Internally Hinged Column With an Elastic Support
,” Eng. Struct.
0141-0296, 24
, pp. 1357
–1360
.4.
Hetenyi
, M.
, 1948, Beams on Elastics Foundation
, University of Michigan Press
, Ann Arbor, MI
.5.
Wang
, C. M.
, Wang
, C. Y.
, and Reddy
, J. N.
, 2005, Exact Solutions for Buckling of Structural Members
, CRC
, Boca Raton, FL
.6.
Sawyer
, D. A.
, 1960, “Various Instability Modes of the Fixed Base Column
,” ASCE J. Struct. Div.
0044-8001, 86
, pp. 61
–79
.7.
Tadjbakhsh
, I.
, and Keller
, J. B.
, 1962, “Strongest Columns and Isoperimetric Inequalities for Eigenvalues
,” ASME J. Appl. Mech.
0021-8936, 29
, pp. 159
–164
.8.
Olhoff
, N.
, and Rasmussen
, S. H.
, 1977, “On Single and Bimodal Optimum Buckling Loads of Clamped Columns
,” Int. J. Solids Struct.
0020-7683, 13
, pp. 605
–614
.9.
Banichuk
, N. V.
, and Karihaloo
, B. L.
, 1977, “On the Solution of Optimization With Singularities
,” Int. J. Solids Struct.
0020-7683, 13
, pp. 725
–733
.Copyright © 2008
by American Society of Mechanical Engineers
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