Buckling of Thin-Walled Eccentric Compressive Members Considering Shear Lag
Publication: Journal of Aerospace Engineering
Volume 12, Issue 3
Abstract
Based on the displacement variational principle, this paper presents a general consistent method, called the spline finite member element method, for buckling analysis of thin-walled eccentric compressive members with arbitrary cross sections considering shear lag. A transformed B3-spline function presented in this paper is used to simulate the warping displacements along the cross section of the thin-walled member. Compared with the results from classical theory, the numerical results proposed in this paper demonstrate the versatility and accuracy of the proposed method.
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References
1.
Ahlberg, J. H., Nelson, E. N., and Wash, J. L. (1967). The theory of spline and their applications. Academic Press, New York.
2.
Bruce, W. C., et al. (1991). Maple language reference manual. Waterloo Maple Publishing, Waterloo, Canada.
3.
Chen, H., and Blandford, G. (1989). “A Co finite element formulation for thin-walled beams.” Int. J. Numer. Methods in Engrg., 28, 2239–2255.
4.
Dezi L., and Mentrasti, L. (1985). “Non-uniform bending-stress distribution in thin-walled bridge beams (shear lag).”J. Struct. Engrg., ASCE, 111(12), 2675–2690.
5.
Gjelsvik, A. (1991). “Analog-beam methods for determining shear-lag effects.”J. Engrg. Mech., ASCE, 117(7), 1575–1594.
6.
Gregory, J. H., Andrew, J. D., Peter, W. K., Sammy, C. W. L., and Kim, J. R. R. (1990). “Recent developments in the buckling and nonlinear analysis of thin-walled structures members.” J. Thin-Walled Struct., 9, 309–338.
7.
Hu, Y., and Chen, B. (1989). “A consistent theory for torsion of thin-walled bars.” J. Thin-Walled Struct., 7, 119–137.
8.
Laudiero, F., and Savoia, M. (1990). “Shear strain effects in flexure and torsion of thin-walled beams with open or closed-section.” J. Thin-Walled Struct., 10, 87–119.
9.
Li, W. Y., and Wu, X. S. (1991). A semi-discrete method for shear lag analysis of thin-walled members. Proc., Asian Pacific Conf. on Computational Methods, Hong Kong, 1, 73–79.
10.
Mentrasti, L. (1985). “Torsion of closed cross-section thin-walled beams: the influence of shearing strain.” J. Thin-Walled Struct., 5, 277–305.
11.
Romano, G., Rosati, L., and Ferro, G. (1992). “Shear deformability of thin-walled beams with arbitrary cross section.” Int. J. Numer. Methods in Engrg., 35, 283–306.
12.
Stemple, A., and Lee, S. (1989). “A finite element model for composite beams undergoing large deflection with arbitrary cross-sectional warping.” Int. J. Numer. Methods in Engrg., 28, 2143–2160.
13.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
14.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., Israel Program for Scientific Translations, Jerusalem, Israel.
15.
Wang, Q. (1997). “Spline finite member method for vibration of thin-walled members with shear lag.” J. Sound and Vibration, 206(3), 339–352.
16.
Yoo, C. H. (1980). “Bimoment contribution to stability of thin-walled assemblages.” Int. J. Computers and Struct., 11(5), 465–471.
Information & Authors
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Published In
Journal of Aerospace Engineering
Volume 12 • Issue 3 • July 1999
Pages: 105 - 109
History
Received: Dec 22, 1997
Published online: Jul 1, 1999
Published in print: Jul 1999
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