Linearized Least‐Squares Technique for Evaluating Plate‐Buckling Loads
Publication: Journal of Engineering Mechanics
Volume 116, Issue 5
Abstract
Various methods exist for estimating the experimental buckling load of a rectangular plate in edge compression from the recorded load‐lateral deflection data. Since these methods are based on nonlinear and/or graphical analysis, applications in most instances either rely heavily upon the individual judgment of the experimentalist or require elaborate numerical solution techniques. This paper presents a new method for determining a plate's critical load by a least‐squares curve fit to a linearized form of the governing load‐deflection equations. The linearity is achieved by a change of parameters and results in a technique that is shown to be both impartial and computationally straightforward, while giving excellent agreement with the nonlinear approaches. It is essential, however, that a reasonably representative sampling of data points, encompassing both the prebuckling and postbuckling ranges, be included in the computations. It is concluded that the new method can provide an attractive alternative to the more involved nonlinear techniques.
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References
1.
Dawson, R. G., and Walker, A. C. (1972). “Post buckling of geometrically imperfect plate.” J. Struct. Div., ASCE, 98(1), 75.
2.
Fok, W. C. (1984). “Evaluation of experimental data of plate buckling.” J. Engrg. Mech., ASCE, 110(4), 577–588.
3.
Fok, W. C., and Yuen, M. F. (1981). “Modified pivotal plot for critical load calculation of rectangular plate under edge compression.” J. Mech. Eng. Sci., 23(4), 167–170.
4.
Rhodes, J., and Harvey, J. M. (1977). “Examination of plate postbuckling behavior.” J. Engrg. Mech. Div., ASCE, 103(3), 461–478.
5.
Southwell, R. V. (1932). “On the analysis of experimental observations in problems of elastic stability.” Proc., Royal Society of London, Series A, 135, 601–616.
6.
Spencer, H. J., and Walker, A. C. (1975). “Critique of Southwell plots with proposals for alternative methods.” Exp. Mech., 15(8), 303–310.
7.
Stein, M. (1959). “Loads and deformations of buckled rectangular plates.” Technical Report R‐40, Nat. Aeronautics and Space Administration, Washington, D.C.
8.
Walker, A. C. (1969). “The post‐buckled behavior of simply supported square plates.” Aeronaut. Q., 20(3), 203–222.
9.
Williams, D. G., and Aalami, B. (1979). Thin plate design for in‐plane loading. John Wiley and Sons, Inc., New York, N.Y.
10.
Williams, D. G., and Walker, A. C. (1977). “Explicit solutions for plate buckling analysis.” J. Engrg. Mech. Div., ASCE, 103(4), 549–559.
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Copyright © 1990 ASCE.
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Published online: May 1, 1990
Published in print: May 1990
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