Optimal Design for Axisymmetric Cylindrical Shell Buckling
Publication: Journal of Engineering Mechanics
Volume 115, Issue 8
Abstract
This paper discusses the structural optimization problem of finding the optimal wall fhickness of an axisymmetric cylindrical shell so as to maximize the buckling load when the volume of material is fixed. An optimality condition is derived and then the method of truncated Fourier series is used to find an optimal design which indicates an 83% increase in buckling load over the classical critical buckling load for the case of uniform thickness.
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References
1.
Beiner, L., and Librescu, L. (1986). “Least weight design of cylindrical shells with fixed fundamental frequency.” Israel J. Technology, 23, 64–68.
2.
Brush, D. O., and Almroth, B. O. (1975). Buckling of bars, plates and shells. McGraw‐Hill, New York, N.Y.
3.
Donnell, L. H. (1976). Beams, plates and shells. McGraw‐Hill, New York, N.Y.
4.
Hoff, N. J., and Rehfield, L. W. (1965). “Buckling of axially compressed circular cylindrical shells at stresses smaller than the classical critical value.” J. Appl. Mech., 32, 542–546.
5.
Keller, J. B. (1960). “The shape of the strongest column.” Arch. Rat. Mech. Analysis, 5, 275–285.
6.
Lev, O. E., ed. (1981). Structural optimization, recent developments and applications. ASCE, New York, N.Y.
7.
Spillers, W. R., and Levy, R. (1986). “Optimal design for plate buckling.” submitted for publication to the J. of Structural Engineering, ASCE.
8.
Tadjbakhsh, I., and Keller, J. B. (1962). “Strongest columns and isoperimetric inequalities for eigenvalues.” J. Appl. Mech., 29, 159–164.
9.
Taylor, J. E. (1967). “The strongest column: An energy approach.” J. Appl. Mech., ASME, 34, 486–487.
10.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw‐Hill, New York, N.Y.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 115 • Issue 8 • August 1989
Pages: 1683 - 1690
Copyright
Copyright © 1989 ASCE.
History
Published online: Aug 1, 1989
Published in print: Aug 1989
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