Elastic Stability of Heavy Rotating Columns
Publication: Journal of Engineering Mechanics
Volume 116, Issue 1
Abstract
The paper investigates the elastic buckling of heavy rotating columns under an axial load using the Rayleigh-Ritz energy approach. Accurate formulas to predict the buckling capacities of the columns are presented. Moreover, it is shown that this problem is similar to both the stability problem of continuously restrained columns and the free vibration problem of columns due to their similar form of the total energy functional. The formulas obtained can thus be used, with a minor modification, to furnish the solutions to these latter problems. The results for special cases of the formulas are checked and verified by known solutions.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw‐Hill, New York, N.Y.
2.
Kato, T. (1971). Handbook of structural stability. Column Res. Comm., Corona, Tokyo, Japan, 1–8.
3.
Kitipornchai, S., and Wang, C. M. (1988). “Out‐of‐plane buckling formulas for beam‐columns/tie‐beams.” J. Struct. Engrg., ASCE, 114(12), 2773–2789.
4.
Papangelis, J. P., and Trahair, N. S. (1986). “Flexural‐torsional buckling of arches.” J. Struct. Engrg., ASCE, 112(11), 2494–2511.
5.
Roberts, T. M. (1987). “Natural frequencies of thin‐walled bars of open cross‐section.” J. Engrg. Mech., ASCE, 113(10), 1584–1593.
6.
Timoshenko, S. P., and Gere, J. M. (1961). “Theory of elastic stability.” 2nd Ed., McGraw‐Hill, New York, N.Y.
7.
Watson, L. T., and Wang, C. Y. (1983). “The equilibrium states of a heavy rotating columns.” Int. J. Solids Structures, 19(7), 653–658.
8.
Wang, C. M., and Ang, K. K. (1988). “Buckling capacities of braced heavy columns under an axial load.” Computers and Structures, 28(5), 563–571.
9.
Wang, C. M., and Kitipomchai, S. (1986). “Buckling capacities of monosymmetric I‐beams.” J. Struct. Engrg., ASCE, 112(11), 2373–2391.
10.
Wang, C. Y. (1982). “On the bifurcation solutions of an axially rotating rod.” Quarterly J. Mech. Appl. Math., 35, 391–402.
11.
Wang, C. Y. (1987a). “Approximate formulas for buckling of heavy column with end load.” J. Struct. Engrg., ASCE, 113(10), 2316–2320.
12.
Wang, C. Y. (1987b). “Buckling and postbuckling of heavy columns.” J. Engrg. Mech., ASCE, 113(8), 1229–1233.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 1 • January 1990
Pages: 234 - 239
Copyright
Copyright © 1990 ASCE.
History
Published online: Jan 1, 1990
Published in print: Jan 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.