TECHNICAL PAPERS
Aug 1, 1987

Collapse of Shallow Lattice Domes

Publication: Journal of Structural Engineering
Volume 113, Issue 8

Abstract

A numerical and experimental study of the collapse and postcollapse behavior of shallow lattice domes is presented. The numerical analysis is based on an updated Lagrangian, materially and geometrically nonlinear, displacement‐based finite‐element program. The formulation incorporated in the program can detect plasticity, instability, and finite deflection effects in the dome structure. Warping effects are ignored. The solution of the nonlinear stiffness equations is designed so that critical points on the equilibrium path are identified in the results. A method is used to obtain the lowest bifurcation path of a perfect lattice dome, once it is established that there is a bifurcation point on its primary equilibrium path. Limit point behavior is detected automatically. A shallow model dome was tested experimentally in a purpose‐built test rig. The experimental results presented are compared with the corresponding numerical predictions and good agreement between them is demonstrated.

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References

1.
Bathe, K. J., Finite Element Procedures in Engineering Analysis, Prentice‐Hall, Englewood Cliffs, N.J., 1982.
2.
Brebbia, C. A., and Connor, J. J., Fundamentals of Finite Element Techniques for Structural Engineers, Butterworth, London, England, 1973.
3.
Kani, I. M., “A Theoretical and Experimental Investigation of the Collapse of Shallow Reticulated Domes,” thesis presented to the University of Cambridge, at Cambridge, U.K., in 1986, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Kani, I. M., and McConnel, R. E., “Collapse and Post‐Collapse Analysis of Shallow Lattice Domes,” Proceedings of the International Symposium on Membrane Structures and Space Frames, Osaka, Japan, Sep. 15–19, 1986, pp. 105–112.
5.
Kani, I. M., McConnel, R. E., and See, T., “The Analysis and Testing of a Single Layer, Shallow Braced Dome,” Proceedings of the Third International Conference of Space Structures, University of Surrey, Guildford, U.K., Sep. 11–14, 1984, pp. 613–618.
6.
Lock, A. C., “The Application of Finite Elements to Linear and Non‐linear Static and Dynamic Behaviour of Shallow Structures,” thesis presented to University College, at Cardiff, U.K., in 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Ramm, E., “Strategies for Tracing Nonlinear Response Near Limit Points,” Europe‐U.S. Workshop: Nonlinear Finite Element Analysis in Structural Mechanics, Bochum, West Germany, Jul. 28–31, 1980, pp. 151–178.
8.
See, T., and McConnel, R. E., “Large Displacement Elastic Buckling of Space Structures,” Journal of Structural Engineering, ASCE, Vol. 112, No. 5, May, 1986, pp. 1052–1069.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 8August 1987
Pages: 1806 - 1819

History

Published online: Aug 1, 1987
Published in print: Aug 1987

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Authors

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Iradj M. Kani
Res. Student, Cambridge Univ., Engrg. Dept., Trumpington Street, Cambridge CB2 1PZ, U.K.
Richard E. McConnel
Lect., Cambridge Univ., Engrg. Dept., Cambridge CB2 1PZ, U.K.

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