A Finite Step Updating Method for Elastoplastic Analysis of Frames
Publication: Journal of Engineering Mechanics
Volume 119, Issue 12
Abstract
A numerical method is developed for analysis of elastoplastic frames. Yielding is represented by concentrated displacement discontinuities with extension and rotation components. The possible yield points are located at the ends of the beam elements. The corresponding plastic degrees of freedom are added to the system as they arise, increasing the size of the global system of equations but avoiding refactorization. The yield deformations follow a hardening plastic rule. By using a piecewise linearized (polyhedral) yield surface and linear hardening a formulation is developed in which the gradual development of yielding of the frame is computed as a sequence of linear problems, each leading to the formation of a new yield hinge or change of an existing yield hinge. The method has been implemented in the C programming language with fully dynamic memory allocation but can be used to extend existing linear frame analysis programs.
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References
1.
Abbassian, F., Lau, T. B., and Zintilis, G. M. (1991). “3‐D inelastic behavior of tubular members supported on non‐linear rotational springs.” J. Offshore Mech. Arctic Engrg., 113, 320–326.
2.
Abu Kassim, A. M., and Topping, B. H. V. (1987). “Static reanalysis: A review.” J. Struct. Engrg., ASCE, 113(5), 1028–1045.
3.
Chen, W. F., and Han, D. J. (1985). Tubular members in offshore structures. Pitman, London, England.
4.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers. Springer‐Verlag, Berlin, Germany.
5.
Eurocode 3: Design of steel structures. (1992). European Committee for Standardization, Bruxelles, Belgium.
6.
Holnicki‐Szulc, J. (1991). Virtual distortion method. Lecture Notes in Engineering No. 65. Springer‐Verlag, Berlin, Germany.
7.
Holnicki‐Szulc, J., and Gierlinski, J. T. (1989). “Structural modifications simulated by virtual distortions.” Int. J. Numer. Methods in Engrg., 28, 645–666.
8.
Livesley, R. K. (1975). Matrix methods of structural analysis. 2nd Ed., Pergamon Press, Oxford, England.
9.
Mróz, Z. (1967). “On the description of anisotropic workhardening.” J. Mech. Physics of Solids, 15, 163–175.
10.
Powell, G. H., and Chen, P. F. (1986). “3D beam‐column element with generalized plastic hinges.” J. Engrg. Mech., ASCE, 112(7), 627–641.
11.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, V. T. (1988). Numerical Recipes in C. Cambridge Univ. Press, Cambridge, England.
12.
Stewart, G. (1992a). “Non‐linear structural dynamics by the pseudo‐force influence method, Part I: Theoretical considerations.” 2nd Int. Offshore and Polar Engineering Conf., San Francisco.
13.
Stewart, G. (1992b). “Non‐linear structural dynamics by the pseudo‐force influence method, Part II: Application to offshore platform collapse.” 2nd International Offshore and Polar Engineering Conf., San Francisco, 14–19 June.
14.
Stewart, G., Eftymiou, M., and Vugts, J. H. (1988). “Ultimate strength and integrity assessment of fixed offshore platforms.” Behaviour of Offshore Structures Conf., BOSS '88, TAPIR Publishers, Trondheim, Norway, 1205–1221.
15.
Stewart, G., and van de Graaf, J. W. (1990). “A methodology for platform collapse analysis based on linear superposition.” 22nd Annual Offshore Technology Conf., Houston, 381–385.
16.
Søreide, T. H., Amdahl, J., Granli, T., and Astrud, O. C. (1986). “Collapse analysis of framed offshore structures.” 18th Annual Offshore Technology Conf., Houston, OTC 5302, 95–102.
17.
Ueda, Y., and Yao, T. (1982). “The plastic node method: A new method of plastic analysis.” Computer Methods Appl. Mech. Engrg., 34, 1089–1104.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Sep 14, 1992
Published online: Dec 1, 1993
Published in print: Dec 1993
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