TECHNICAL NOTES
Nov 1, 1991
Snap‐Through of a Clamped‐Free Beam Column
Authors: X. Zhao, W. Y. Lu, and T. R. Tauchert, Member, ASCEAuthor Affiliations
Publication: Journal of Engineering Mechanics
Volume 117, Issue 11
Abstract
Conditions for snap-through (limit-point instability) of a clamped-free beam column from a buckled configuration to a second stable equilibrium state are examined. In particular, the relationships between a compressive load and the magnitude and location of a transverse force that produce a reversal in curvature are investigated. Approximate analytical solutions for stable equilibria are found by minimizing the structure's total potential energy. An incremental load approach is employed for the prediction of snap-through. For verification of the approximate solutions obtained using the energy method, predicted equilibrium configurations are compared with results calculated by numerical integration.
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References
1.
Powell, M. J. D. (1964). “An efficient method for finding the minimum of a function of several variables without calculating derivatives.” Computer J., 7(2), 155–162.
2.
Tauchert, T. R., and Lu, W. Y. (1987) “Large deformation and postbuckling behavior of an initially deformed rod.” J. Non‐Linear Mech., 22(6), 511–520.
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Copyright © 1991 ASCE.
History
Published online: Nov 1, 1991
Published in print: Nov 1991
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X. Zhao
Grad. Student, Dept. of Engrg. Mech., Univ. of Kentucky, 467 Anderson Hall, Lexington, KY 40506‐0046
W. Y. Lu
Assoc. Prof., Dept. of Engrg. Mech., Univ. of Kentucky, 467 Anderson Hall, Lexington, KY
T. R. Tauchert, Member, ASCE
Prof., Dept. of Engrg. Mech., Univ. of Kentucky, 467 Anderson Hall, Lexington, KY
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.