Dynamic Stability of Laterally Loaded Buckled Beams
Publication: Journal of Engineering Mechanics
Volume 110, Issue 10
Abstract
The critical uniform lateral pressure of a simply supported beam initially compressed into a buckled state is derived for the cases of static loading, step‐loading, and impulse loading. The results are calculated for different values of buckle amplitudes and are found to be at most about 75% of the corresponding values for shallow sinusoidal arches having the same amplitude. The method of analysis of the stability of the beam under dynamic loading is similar to that of Hoff and Bruce who used an energy criterion to determine the critical pressures of laterally loaded shallow arches.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bisplinghiff, R. L., and Pian, T. H. H., “On the Vibration of Thermally Buckled Bars and Plates,” Proceedings IX International Congress Applied Mechanics, Vol. 7, 1957, pp. 307–318.
2.
Burgreen, D., “Free Vibrations of a Pin‐Ended Column with Constant Distance Between Ends,” Journal of Applied Mechanics, Vol. 18, No. 1, Mar., 1951, pp. 135–139.
3.
Eisley, J. G., “Nonlinear Vibrations of Beams and Rectangular Plates,” Z. Angew. Math. Phys., Vol. 15, 1964, pp. 167–174.
4.
Eisley, J. G., “Large Amplitude Vibration of Buckled Beams and Rectangular Plates,” American Institute of Aeronautics and Astronautics Journal, Vol. 2, No. 12, Dec., 1964, pp. 2207–2209.
5.
Hoff, N. J., and Bruce, V. G., “Dynamic Analysis of the Buckling of Laterally Loaded Flat Arches,” Journal of Math. Phys., Vol. 32, 1954, pp. 276–288.
6.
Huddleston, J. B., “Behavior of Steep Prestressed Arch Made From a Buckled Strut,” Journal of Applied Mechanics, Vol. 37, No. 4, Dec., 1970, pp. 984–994.
7.
Humphreys, J. S., “On Dynamic Snap Buckling of Shallow Arches,” American Institute of Aeronautics and Astronautics Journal, Vol. 4, No. 5, May, 1966, pp. 878–886.
8.
Humphreys, J. S., “On the Adequacy of Energy Criteria for Dynamic Buckling of Arches,” American Institute of Aeronautics and Astronautics Journal, Vol. 4, No. 5, May, 1966, pp. 921–923.
9.
Tseng, W. Y., and Dugundji, J., “Nonlinear Vibrations of a Buckled Beam under Harmonic Excitation,” Journal of Applied Mechanics, Vol. 38, No. 2, June, 1971, pp. 467–476.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 110 • Issue 10 • October 1984
Pages: 1556 - 1569
Copyright
Copyright © 1984 ASCE.
History
Published online: Oct 1, 1984
Published in print: Oct 1984
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.