TECHNICAL PAPERS
Jun 1, 1987

Nonlinear Frame Analysis by Finite Element Methods

Publication: Journal of Structural Engineering
Volume 113, Issue 6

Abstract

A review of the basic concepts involved when constructing nonlinear load‐deflection curves of framed structures by the finite element method is presented. The study is limited to the geometrically nonlinear behavior of elastic structures. Three different procedures are considered: the linear incremental method, the nonlinear incremental method, and the direct method. For each method the governing equations are derived, and the procedure used to plot the load‐deflection curve is outlined.

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References

1.
Connor, J. J., Logcher, R. D., and Chan, S. C., “Nonlinear Analysis of Elastic Framed Structures,” Journal of the Structural Division, ASCE, Vol. 94, No. 6, Jun., 1968, pp. 1525–1547.
2.
Ebner, A. M., and Ucciferro, J. J., “A Theoretical and Numerical Comparison of Elastic Nonlinear Finite Element Methods,” Computers and Structures, Vol. 2, 1972, pp. 1043–1061.
3.
Jennings, A., “Frame Analysis Including Change of Geometry,” Journal of the Structural Division, ASCE, Vol. 94, No. 3, Mar., 1968, pp. 627–644.
4.
Mallet, R. H., and Marcal, P. V., “Finite Element Analysis of Nonlinear Structures,” Journal of the Structural Division, ASCE, Vol. 94, No. 9, Sep., 1968, pp. 2081–2105.
5.
Martin, H. C., “Large Deflection and Stability Analysis by the Direct Stiffness Method,” Technical Report No. 32‐931, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, Calif., 1966.
6.
Martin, H. C., “On the Derivation of Stiffness Matrices for the Analysis of Large Deflection and Stability Problems,” Proceedings, Conference of Matrix Methods in Structural Mechanics, Wright‐Patterson Air Force Base, Ohio, Oct., 1965, pp. 697–716.
7.
Powell, G. H., “Theory of Nonlinear Elastic Structures,” Journal of the Structural Division, ASCE, Vol. 95, No. 12, Dec., 1969, pp. 2687–2701.
8.
Wen, R. K., and Rahimzadeh, J., “Nonlinear Elastic Frame Analysis by Finite Element,” Journal of Structural Engineering, ASCE, Vol. 109, No. 8, Aug., 1983, pp. 1952–1971.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 6June 1987
Pages: 1221 - 1235

History

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

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Authors

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Alexander Chajes, M. ASCE
Prof., Civ. Engrg. Dept., Univ. of Massachusetts, Amherst, MA 01003
James E. Churchill, A. M. ASCE
Res. Asst., Civ. Engrg. Dept., Univ. of Massachusetts, Amherst, MA

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