Unified Approach to Local Stability of Plate/Stiffener Assemblies
Publication: Journal of Engineering Mechanics
Volume 121, Issue 2
Abstract
A semianalytical approach for the computation of the local buckling of stiffened plates under any combination of applied biaxial compression, in-plane bending, and shear stress is presented. The plate is treated as partially restrained against rotation and in-plane translation. In the first stage, the plate is treated as infinitely long and the buckling mode is idealized by straight lines with arbitrary parameters. The energy method is then used to formulate the buckling coefficient, K, in terms of general functions that describe the longitudinal and transverse displacement profiles. In the second stage, sequential quadratic programming (SQP) is used to find the critical combinations of the parameters in the idealized buckling mode that minimize the coefficient, K . Modification factors are then suggested to compute the buckling stress for plates of finite length. Using the derived formulations, a closed-form expression for the K factor is determined by choosing approximate displacement functions. Validation, accuracy, and comparison of the derived K factor is shown for the limiting conditions of simply supported and clamped edges. Finally, results are presented for the more general case of a plate partially restrained against rotation. The transition from rotationally free to rotationally clamped boundaries is shown by modifying the stiffener torsional rigidities. The destabilizing effect of the lateral restraint on the buckling stress is also shown.
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References
1.
Bedair, O. K., and Sherbourne, A. N.(1993a). “Plate/stiffener assemblies in uniform compression. Part I. Buckling.”J. Engrg. Mech., ASCE, 119(10), 1937–1955.
2.
Bedair, O. K., and Sherbourne, A. N. (1993b). “Toward rational prediction of the local stability of plate/stiffener assemblies.”Proc., 11th Can. Soc. of Civ. Engrg. Conf., Vol. 4, 139–148.
3.
Bedair, O. K., and Sherbourne, A. N. (1994). “On the stability of plates under combined compression an in-plane bending.”Computers and Struct., Vol. 53, No. 6.
4.
Bedair, O. K., and Sherbourne, A. N. (1994b). “Plate/stiffener assemblies under non-uniform edge compression.”J. Struct. Div., ASCE.
5.
Bleich, F. (1952). Buckling strength of metal structures . McGraw-Hill, Book Co., Inc., New York, N.Y.
6.
Bulson, P. S. (1970). The stability of flat plates . Chatto & Windus, London, England.
7.
Galambos, T. V. (1988). Guide to stability design criteria for metal structures: Struct. Stability Res. Council, 4th Ed., John Wiley & Sons, Inc., New York, N.Y.
8.
Gill, P. E., Murray, W., and Wright, M. H. (1981). Practical optimization . Academic Press Inc., London, England.
9.
Han, S. P. (1977). “A globally convergent method for non-linear programming.”J. Optimization and Applications, Vol. 22, 297–309.
10.
Handbook of structural stability. (1971). Column Research Committee of Japan, Corona Publishing Co., Tokyo, Japan.
11.
Mahendran, M., and Murray, N. W. (1986). “Elastic buckling analysis of ideal thin-walled structures under combined loading using a finite strip method.”Thin Walled Struct., Vol. 4, 329–362.
12.
McKenzie, K. I. (1964). “The buckling of a rectangular plate under combined biaxial compression, bending and shear.”Aeronautical Quarterly, Vol. 15, 239–246.
13.
Schittkowski, K. (1985). “A unified outline of nonlinear programming algorithms.”J. Mechanisms, Transmissions and Automation in Design, Vol. 107, 449–453.
14.
Sherbourne, A. N., and Bedair, O. K.(1993). “Plate/Stiffener assemblies in uniform compression. II: Post-buckling.”J. Engrg. Mech., ASCE, 119(10), 1956–1972.
15.
Sherbourne, A. N., and Bedair, O. K. (1994). “Stability of stiffened plates under combined compression and in-plane bending.”Proc., 11th Can. Soc. of Civ. Engrg. Conf., Vol. 4, 129–138.
16.
Stability of metal structures, a world view: Struct. Stability Res. Council. (1991). 2nd ed., L. S. Beedle, Ed., John Wiley & Sons, Inc., New York, N.Y.
17.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability . McGraw-Hill Book Co., Inc., New York, N.Y.
18.
Wittrick, W. H., and Curzon, P. L. (1968). “Stability functions for the local buckling of thin flat-walled structures with walls in combined shear and compression.”Aeronautical Quarterly, Vol. 19, 327–351.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Feb 1, 1995
Published in print: Feb 1995
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