Buckling Analysis of Thin-Walled Members with Variable Thickness
Publication: Journal of Structural Engineering
Volume 121, Issue 6
Abstract
An analytical procedure for the elastic buckling problems of thin-walled members with variable-thickness cross sections is presented in this paper, using the transfer-matrix method. The transfer matrix is derived from nonlinear differential equations for plate panels with variable thickness, by using the Fourier series expansions in the longitudinal direction and then applying a numerical integration in the lateral direction. In this method the end boundary conditions are restricted, and the effects of yielding and initial imperfection are not considered; however, closed-form results can be obtained with much smaller computational efforts, when compared with both the finite-element and finite-strip methods. The buckling loads and mode shapes of L -section, U -section and H -section members with tapered-thickness cross sections are presented, and influences of the thickness variation of cross sections on the buckling loads and mode shapes are examined. The results obtained by this method are very effective in clarifying the instability phenomena of thin-walled members.
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References
1.
Bardford, M. A., and Cuk, P. E. (1988). “Elastic buckling of tapered monosymmetric I -beams.”J. Struct. Engrg., ASCE, 114(5), 977–996.
2.
Brown, T. G. (1981). “Lateral-torsional buckling of tapered I -beams.”J. Struct. Div., ASCE, 107(4), 689–697.
3.
Chan, S. L.(1990). “Buckling analysis of structures composed of tapered members.”J. Struct. Engrg., ASCE, 116(7), 1893–1906.
4.
Chin, C. K., and Al-Bermani, F. G. A. and Kitipornchai(1993). “Finite element method for buckling analysis of plate structures.”J. Struct. Div., ASCE, 119(4), 1048–1068.
5.
Chini, S. A., and Wolde-Tiusae, A. M.(1988). “Critical load and post-buckling of arch frameworks.”J. Engrg. Mech., ASCE, 114(9), 1435–1453.
6.
Culver, C. G., and Preg Jr., S. M.(1968). “Elastic stability of tapered beam-columns.”J. Struct. Div., ASCE, 94(2), 455–470.
7.
Funk, R. R., and Wang, K. T.(1988). “Stiffnesses of nonprismatic member.”J. Struct. Engrg., ASCE, 114(2), 489–494.
8.
Kobayashi, H., and Sonoda, K.(1989). “Buckling of rectangular plates with tapered thickness.”J. Struct. Engrg., ASCE, 116(5), 1278–1289.
9.
Ohga, M., Shigematsu, T., and Hara, T.(1991). “Boundary element-transfer matrix method for plated structures.”J. Engrg. Mech., ASCE, 117(11), 2509–2526.
10.
Shigematsu, T., Hara, T., and Ohga, M. (1982). “Untersuchung der Stäbilitat einseitig gedrückter, längsausgesteifter, orthotroper Rechteckpatten mit Schubverformung.”Der Stahlbau, Berlin, Germany, 51(6), 171–176 (in German).
11.
Shigematsu, T., and Nakai, H. (1983). “Das Ausbeulen offener und geschlossener Profile mit Schubverformung bei Druckbeanspruchung in Längsrichtung.”Der Stahlbau, Berlin, Germany, 52(6), 167–172 (in German).
12.
Shigematsu, T., Ohga, M., and Hara, T. (1992). “Ermittlung der Beultraglasten ausgesteifer Schalen mit Hilfe von Übertragungsmatrizen.”Archive of Appl. Mech., Berlin, Germany, 62(1), 28–42 (in German).
13.
Shiomi, H., and Kurata, M.(1984). “Strength formula for tapered beam-columns.”J. Struct. Engrg., ASCE, 110(7), 1630–1643.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 121 • Issue 6 • June 1995
Pages: 919 - 924
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Jun 1, 1995
Published in print: Jun 1995
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