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TECHNICAL PAPERS

Buckling Optimization of Composite Axisymmetric Cylindrical Shells Under Uncertain Loading Combinations

[+] Author and Article Information
A. R. de Faria, J. S. Hansen

Institute for Aerospace Studies, UTIAS, 4925 Dufferin Street, Toronto, Ontario M3H 5T6, Canada

J. Appl. Mech 68(4), 632-639 (Feb 07, 2000) (8 pages) doi:10.1115/1.1311962 History: Received September 29, 1999; Revised February 07, 2000
Copyright © 2001 by ASME
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References

Sobel,  L. H., 1964, “Effects of Boundary Conditions on the Stability of Cylinders Subjected to Lateral and Axial Pressures,” AIAA J., 2, No. 8, pp. 1437–1440.
Stricklin,  J. A., and Haisler,  W. E., 1968, “Nonlinear Analysis of Shells of Revolution by the Matrix Decomposition Method,” AIAA J., 6, No. 12, pp. 2306–2311.
Tennyson,  R. C., Chan,  K. H., and Muggeridge,  D. B., 1971, “The Effect of Axisymmetric Shape Imperfections on the Buckling of Laminated Anisotropic Circular Cylinders,” CASI Trans.,4, No. 2, pp. 131–139.
Hansen,  J. S., and Roorda,  J., 1974, “On a Probabilistic Stability Theory for Imperfection Sensitive Structures,” Int. J. Solids Struct., 10, pp. 341–359.
Booton, M., 1976, “Buckling of Imperfect Anisotropic Cylinders under Combined Loadings”, UTIAS Report No. 203, University of Toronto, Institute for Aerospace Studies, Downsview, Ontario, Canada.
Koiter, W. T., 1945, “On the Stability of Elastic Equilibrium (in Dutch with English summary),” thesis, Delft, H. J. Paris, Amsterdam (English translation, Air Force Flight Dyn. Lab. Tech., report AFFDL-TR-70-25, Feb. 1970).
Budiansky,  B., and Hutchinson,  J. W., 1966, “A Survey of Some Buckling Problems,” AIAA J., 4, No. 9, pp. 1505–1510.
Thompson, J. M. T., and Hunt, G. W., 1973, A General Theory of Elastic Stability, John Wiley and Sons, London.
Nshanian,  Y. S., and Papas,  M., 1983, “Optimal Laminated Composite Shells for Buckling and Vibration,” AIAA J., 21, No. 3, pp. 430–437.
Tennyson, R. C. and Hansen, J. S., 1983, “Optimum Design for Buckling of Laminated Cylinders,” Proceedings IUTAM Symposium, Collapse: The Buckling of Structures in Theory and Practice, J. M. T. Thompson and G. W. Hunt eds., Cambridge University Press, Cambridge, UK.
Sun, G., 1989, “Optimization of Laminated Cylinders for Buckling,” Doctoral dissertation, Institute for Aerospace Studies, University of Toronto, Toronto, Ontario, Canada.
Zimmerman, R., 1986, “Optimization of Axially Compressed CFRP Cylinders,” Proceedings of the Spacecraft Structures Int. Conference, CNES, Toulouse, Dec, 3–6, ESA SP-238, pp. 407–412.
Sun,  G., and Hansen,  J. S., 1988, “Optimal Design of Laminated-Composite Circular-Cylindrical Shells Subjected to Combined Loads,” ASME J. Appl. Mech., 55, pp. 136–142.
Cherkaev, A., and Cherkaeva, E., 1998, “Stable Optimal Design for Uncertain Loading Conditions,” Homogenization, V. Berdichevsky, ed., World Scientific, Singapore.
Ben-Haim, Y., and Elishakoff, I., 1991, Convex Models of Uncertainty in Applied Mechanics, Elsevier, New York.
Huseyin, K., 1975, Nonlinear Theory of Elastic Stability, Noordhoff International Publishing, The Netherlands.

Figures

Grahic Jump Location
Cylinder subjected to mechanical loads and boundary conditions
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Geometric interpretation
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Effect of uncertainty degree on the optimal critical load
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(a) Load space—case 1a; (b) load space—case 2b; (c) load space—case 3c (d) load space—case 4
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(a) Comparative performance—axial compression; (b) comparative performance—lateral pressure; (c) comparative performance—torsion

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