Nonlinear Analysis of Steel Space Structures
Publication: Journal of Structural Engineering
Volume 116, Issue 4
Abstract
A second‐order nonlinear analysis of steel space structures has been presented. Of the two types of nonlinearities, material and geometric, only geometric nonlinearity has been considered. The material of the structure steel has been assumed to be linearly elastic. In geometric nonlinearity, the effects of instability produced by axial forces, the bowing of the deformed members, and finite deflections have all been included. For this purpose, the secant stiffness matrix in the deformed state and the modified kinematic matrices along with the geometric matrix necessary for formulating the tangent stiffness matrix, have been developed. These matrices are used in the analysis, which is carried out by the displacement method through an iterative‐incremental procedure based on Newton‐Raphson technique. The iterations that take into account the latest geometry are repeated until the unbalanced loads become negligible and equilibrium is obtained. The equilibrium equations are solved by Cholesky's method. Results of an illustrative example and conclusion based on them are also given.
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References
1.
Gere, J. M., and Weaver, W., Jr. (1965). Analysis of plane frames. D. Van Nostrand Company, Princeton, N.J.
2.
Harrison, H. B. (1973). “Computer methods in structural analysis.” Prentice‐Hall Inc., Englewood Cliffs, N.J.
3.
Horne, M. R., and Merchant, W. (1965). The stability of frames. Pergamon Press, London, United Kingdom.
4.
Jennings, A. (1968). “Frame analysis including change of geometry.” J. Struct. Div., ASCE, 94(3), 627–644.
5.
Johnson, D., and Brotten, D. M. (1966). “A finite deflection analysis for space structures.” Proc. Int. Conf. on Space Structures, Dept. of Civ. Engrg., Univ. of Surrey, Surrey, England.
6.
Majid, K. I. Non‐linear structures (matrix methods of analysis and design by computers). Butterworth Co. Ltd., London, England.
7.
Oran, C. (1973). “Tangent stiffness in space frames.” J. Struct. Div., ASCE, 99(6), 987–1002.
8.
Powell, G. H. (1969). “Theory of non‐linear elastic structures.” J. Struct. Div., ASCE, 95(12), 2687–2701.
9.
Ramchandra. (1981). “Non‐linear elastic‐plastic analysis of skeletal steel structures,” thesis presented to the University of Roorkee, at Roorkee, India, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Saafan, S. A. (1963). “Non‐linear behaviour of structural plane frames.” J. Struct. Div., ASCE, 89(4), 557–579.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 116 • Issue 4 • April 1990
Pages: 898 - 909
Copyright
Copyright © 1990 ASCE.
History
Published online: Apr 1, 1990
Published in print: Apr 1990
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