New Warping Function for Thin-Walled Beams. II: Finite Element Method and Applications
Publication: Journal of Structural Engineering
Volume 122, Issue 12
Abstract
In the companion paper, using more general assumptions concerning the warping, the theory for thin-walled beams with arbitrary open or closed cross section is developed. In this paper, on the basis of the new warping function, the finite element model is presented. An updated Lagrangian formulation is used to give a linear and geometric stiffness matrix. To test the accuracy of the theory as well as the performance of the associated finite element, some numerical examples are given.
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References
1.
Barsoum, R. S., and Gallagher, R. H.(1970). “Finite element analysis of torsional and torsional flexural stability problems.”Int. J. Num. Methods Engrg., 2, 335–352.
2.
Bathe, K. J., and Bolourchi, S.(1979). “Large displacement analysis of three-dimensional beam structures.”Int. J. Numer. Methods Engrg., 14, 961–986.
3.
Bazant, Z. P., and Nimeiri, M. E.(1973). “Large-deflection spatial buckling of thin-walled beams and frame.”J. Struct. Div., ASCE, 19(6), 1259–1281.
4.
Chen, H., and Blandford, G. E. (1989). “A C 0 finite element formulation for thin-walled beams.”Int. J. Numer. Methods Engrg., 28, 2239–2255.
5.
Chen, H., and Blandford, G. E.(1991). “Thin-walled space frames. I: large-deformation analysis theory.”J. Struct. Engrg., ASCE, 117(8), 2499–2520.
6.
Chen, H., and Blandford, G. E.(1991). “Thin-walled space frames. II: algorithmic details and applications.”J. Struct. Engrg., ASCE, 117(8), 2521–2539.
7.
Conci, A., and Gattass, M.(1990). “Natural approach for geometric non-linear analysis of thin-walled frames.”Int. J. Numer. Methods Engrg., 30, 207–231.
8.
Kollbrunner, C. F., and Hajdin, N. (1972). “Dünnwandige stäbe.”Band 1. Springer, Berlin (in German).
9.
Meek, J. L., and Lin, W. J.(1990). “Geometric and material nonlinear analysis of thin walled beam-columns.”J. Struct. Engrg., ASCE, 116(6), 1473–1489.
10.
Prokić, A.(1993). “Thin-walled beams with open and closed cross-sections.”Comp. and Struct., 47(6), 1065–1070.
11.
Prokić, A.(1994). “Material nonlinear analysis of thin-walled beams.”J. Struct. Engrg., ASCE, 120(10), 2840–2852.
12.
Prokić, A.(1996). “New warping function for thin-walled beams. I: theory.”J. Struct. Engrg., ASCE, 122(12), 1437–1442.
13.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability . McGraw-Hill Book Co., Inc., New York, N.Y.
14.
Vlasov, V. Z. (1940). “Tankostennie uprugie sterni.”Strizdat, Moskva, Russia (in Russian).
15.
Wilon, L. E., and Habibullah, A. (1984). “SAP 80 structural analysis programs.”Computers and structures. Berkeley, Calif.
16.
Yang, Y., and McGuire, W.(1986). “A stiffness matrix for geometric nonlinear analysis.”J. Struct. Engrg., ASCE, 112, 853–877.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Dec 1, 1996
Published in print: Dec 1996
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