Thin‐Walled Space Frames. II: Algorithmic Details and Applications
Publication: Journal of Structural Engineering
Volume 117, Issue 8
Abstract
In the companion paper, a finite element formulation for analyzing prismatic thin‐walled space‐frame structures with arbitrary cross sections, was developed that maintains rotational continuity and eliminates moment imbalances at the corner nodes of space‐frame structures. This paper focuses on the development of the global stiffness equations consistent with an updated Lagrangian representation of second‐order geometric nonlinearity, solution of the nonlinear equations with a quadratically converging work‐increment‐control technique, updating the element coordinate transformation matrices, nonlinear transformation of element stiffness equations from the shear center to any arbitrary point on the cross section, and the presentation of sample numerical results for an L‐shaped space‐frame structure.
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References
1.
Bathe, K. J., and Bolourchi, S. (1979). “Large displacement analysis of three‐dimensional beam structures.” Int. J. Numer. Methods Engrg., 14(7), 961–986.
2.
Bathe, K. J., and Cimento, A. P. (1980). “Some practical procedures for the solution of nonlinear finite element equations.” Comput. Methods Appl. Mech. Engrg., 22(1), 59–85.
3.
Bathe, K. J., and Dvorkin, E. N. (1983). “On the automatic solution of nonlinear finite element equations.” Comput. Structures, 17, (5/6), 871–879.
4.
Chen, H. (1990). “Nonlinear space frame analysis including flexible connection and bifurcation behavior,” thesis presented to the University of Kentucky, at Lexington, Kentucky, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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.
Crisfield, M. A. (1983). “An arc‐length method including line searches and accelerations.” Int. J. Numer. Methods Engrg., 19(9), 1269–1289.
7.
Ramm, E. (1981). “Strategy for tracing non‐linear response near limit points.” Nonlinear finite element analysis in structural mechanics, Springer‐Verlag, New York, N.Y., 63–89.
8.
Riks, E. (1979). “An incremental approach to the solution of snapping and buckling problems.” Int. J. Numer. Methods Engrg., 15(7), 529–551.
9.
Yang, Y. B., and McGuire, W. (1985). “A work control method for geometrically nonlinear analysis.” Proc. of the Int. Conf. on Advances in Numerical Methods in Engineering, Swansea, U.K., 913—921.
10.
Yang, Y. B., and McGuire, W. (1986). “Joint rotation and geometric nonlinear analysis.” J. Struct. Engrg., ASCE, 112(4), 879–905.
11.
Weaver, W., Jr., and Gere, J. M. (1980). Matrix analysis of framed structures. D. Van Nostrand Co., New York, N.Y.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 117 • Issue 8 • August 1991
Pages: 2521 - 2539
Copyright
Copyright © 1991 ASCE.
History
Published online: Aug 1, 1991
Published in print: Aug 1991
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