Nonlinear Analysis of Space Trusses
Publication: Journal of Structural Engineering
Volume 120, Issue 9
Abstract
Nonlinear methods of analysis for space trusses are reviewed. Methods which do not require repeated reformation and reinversion of the stiffness matrix appear to give the greatest computational efficiency. A new method of analysis for static geometrically linear space trusses is presented. The method allows load increments and decrements, nonproportional loading and the simultaneous failure of several members, while retaining the computational efficiency of the “initial stress” method. In addition, the new formulation has the capability of including the computationally difficult internal instabilities caused by rupture of tension members and “chordal displacement snap through” of compression members in their postbuckling regime. The method can be used with both plane and space trusses in addition to geometrically linear fiber element structures. Because of the computational efficiency of the method, it is particularly useful for structural reliability analyses.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Collins, I. M. (1984). “An investigation into the collapse behaviour of double layer grids.” 3rd Int. Conf. on Space Struct., Univ. of Surrey, Guildford, U.K., 400–405.
2.
Davies, G., and Neal, B. G. (1959). “The dynamical behaviour of a strut in a truss framework.” Proc. Royal Soc., London, U.K., A253, 542–562.
3.
Davies, G., and Neal, B. G. (1963). “An experimental examination of the dynamical behaviour of a strut in a rigidly jointed truss framework.” Proc. Royal Soc., London, U.K., A274, 225–238.
4.
Hill, C. D., Blandford, G. E., and Wang, S. T. (1989). “Post‐buckling analysis of steel space trusses.” J. Struct. Engrg., ASCE, 115(4), 900–919.
5.
Karamchandani, A., and Cornell, C. A. (1992a). “An event to event strategy for nonlinear analysis of truss structures. I.” J. Struct. Engrg., ASCE, 118(4), 895–909.
6.
Karamchandani, A., and Cornell, C. A. (1992b). “Reliability of truss structures with multistate elements. II.” J. Struct. Engrg., ASCE, 118(4), 910–925.
7.
Marsh, C. (1975). “Orthogonal grid space trusses ultimate strength and optimization.” 2nd Int. Conf. on Space Struct., Univ. of Surrey, Guildford, U.K., 550–555.
8.
Nayak, G. C., and Zienkiewicz, O. C. (1972). “Elasto‐plastic stress analysis. A generalization for various constitutive relations including strain softening.” Int. J. Numer. Methods Engrg., 5, 113–135.
9.
Papadrakakis, M. (1983). “Inelastic postbuckling analysis of trusses.” J. Struct. Engrg., ASCE, 109(9), 2129–2147.
10.
Schmidt, L. C., and Gregg, B. M. (1980). “A method for space truss analysis in the post‐buckling range.” Int. J. Numer. Methods Engrg., 15(2), 237–247.
11.
Schmidt, L. C., Morgan, P. R., and Clarkson, J. A. (1976). “Space trusses with brittle type strut buckling.” J. Struct. Div., ASCE, 102(7), 1479–1492.
12.
Smith, E. A. (1984). “Space truss nonlinear analysis.” J. Struct. Engrg., ASCE, 110(4), 688–705.
13.
Zienkiewicz, O. C., Valiappan, S., and King, I. P. (1969). “Elasto‐plastic solutions of engineering problems: ‘initial stress’ finite element approach.” Int. J. Numer. Methods Engrg., 1(1), 75–100.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 13, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.