Exact Buckling Solutions For Rectangular Plates Under Intermediate and End Uniaxial Loads
Publication: Journal of Engineering Mechanics
Volume 129, Issue 7
Abstract
This paper is concerned with the elastic buckling of rectangular plates subjected to both intermediate and end uniaxial loads. The rectangular plates have two simply supported opposite edges that are perpendicular to the in-plane load direction, while the other two plate edges can have free, simply supported, or clamped edges. The solution procedure involves the use of the Levy approach, the domain decomposition technique, and the state-space concept. The method furnishes exact stability criteria; samples of which are presented in a graphical form for plates with various boundary conditions. These results will be useful to engineers who design plates (or walls) that support intermediate floors.
Get full access to this article
View all available purchase options and get full access to this article.
References
Braun, M. (1993). Differential equations and their applications. 4th Ed., Springer, New York.
Column Research Committee of Japan (CRCJ). (1970). Handbook of structural stability, Corona, Tokyo.
Han, R. P. S., and Zu, J. W.(2001). “The influence of combined concentrated and distributed follower forces on the eigensolutions of a spinning beam.” Int. J. Struct. Stability Dynam., 1(2), 263–282.
Timoshenko, S. P., and Gere, J. M. (1960). Theory of elastic stability, McGraw-Hill, New York, 54–56.
Wang, C. M., Ng, K. H., and Kitipornchai, S.(2002). “Stability criteria for Timoshenko columns with intermediate and end concentrated axial loads.” J. Constr. Steel Res., 58(9), 1177–1193.
Xiang, Y., Liew, K. M., and Kitipornchai, S.(1996). “Exact buckling solutions for composite laminates; proper free edge condition under inplane loadings.” Acta Mech., 117(1–4), 115–128.
Xiang, Y., and Wang, C. M.(2002). “Exact solutions for buckling and vibration of stepped rectangular plates.” J. Sound Vib., 250, 503–517.
Zu, J. W., and Han, R. P. S.(1992). “Natural frequencies and normal modes of a spinning Timoshenko beam with general boundary conditions.” J. Appl. Mech., 59, 197–204.
Information & Authors
Information
Published In
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Jan 10, 2002
Accepted: Dec 6, 2002
Published online: Jun 13, 2003
Published in print: Jul 2003
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.