Buckling of Elliptical Plates under Uniform Pressure
Publication: Journal of Structural Engineering
Volume 119, Issue 11
Abstract
The buckling of elliptical plates under uniform compression has so far been studied for clamped edges. Prompted by the lack of studies on such plate shape, this paper attempts to provide further new buckling results for elliptical plates without and with internal line/curved supports. The recently developed pb‐2 Rayleigh‐Ritz method was used for the analysis. The method views the entire elliptical plate as a single supercontinuum element, even with the presence of complicated internal curved supports, by incorporating the support equations into the Ritz function. As such, there are no discretization or boundary and internal support losses, as are usually associated with most discretization methods. Buckling loads are graphically presented for simply supported and clamped plates. Simple buckling formulas for simply supported and clamped plates are also proposed.
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References
1.
Laura, P. A., and Shahady, P. (1969). “Complex variable theory and elastic stability problems.” J. Engrg. Mech. Div., ASCE, 95(1), 59–67.
2.
Liew, K. M., and Wang, C. M. (1992). “Elastic buckling of rectangular plates with curved internal supports.” J. Struct. Engrg., ASCE, 118(6), 1480–1493.
3.
Liew, K. M., and Wang, C. M. (1993). “pb‐2 Rayleigh‐Ritz method for general plate analyses.” Engrg. Struct., 15(1), 55–60.
4.
Shibaoka, Y. (1956). “On the buckling of an elliptic plate with clamped edge I.” J. Phys. Soc. Japan, 11(10), 1088–1091.
5.
Woinowsky‐Krieger, S. (1937). “The stability of a clamped elliptic plate under uniform compression.” J. Appl. Mech., 4(4), 177–178.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: May 4, 1992
Published online: Nov 1, 1993
Published in print: Nov 1993
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