TECHNICAL PAPERS
Apr 1, 1986

Joint Rotation and Geometric Nonlinear Analysis

Publication: Journal of Structural Engineering
Volume 112, Issue 4

Abstract

A geometric stiffness matrix for a beam element has been derived in a related paper. The derived matrix implies quasitangential behavior of bending moments and semitangential behavior of torques. Use of this element matrix in a three‐dimensional, large displacement analysis can result in an apparent lack of joint equilibrium. Alternative definitions for moments are studied for the purpose of resolving this problem. It is verified that equilibrium of a rotated angle joint can be achieved if each joint moment is defined as a semitangential moment.

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References

1.
American Institute of Steel Construction, Torsional Analysis of Steel Members, AISC, Chicago, IL, 1983.
2.
Argyris, J. H., Dunne, P. C., Malejannakis, G. A., and Scharpf, D. W., “On Large Displacement—Small Strain Analysis of Structures with Rotational Degrees of Freedom,” Computer Methods in Applied Mechanics and Engineering, Vol. 14, 1978, pp. 401–451,
and Vol. 15, 1978, pp. 99–135.
3.
Argyris, J. H., Hilbert, O., Malejannakis, G. A., and Scharpf, D. W., “On the Geometrical Stiffness of a Beam in Space—a Consistent V.W. Approach,” Computer Methods in Applied Mechanics and Engineering, Vol. 20, 1979, pp. 105–131.
4.
Barsoum, R. S., “A Finite Element Formulation for the General Stability Analysis of Thin‐Walled Members,” thesis presented to Cornell Univ., at Ithaca, NY, in Sept., 1970, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Barsoum, R. S., and Gallagher, R. H., “Finite Element Analysis of Torsional‐Flexural Stability Problems,” International Journal for Numerical Methods in Engineering, Vol. 2, 1970, pp. 335–352.
6.
Bathe, K.‐J., Finite Element Procedures in Engineering Analysis, Prentice Hall, Inc., Englewood Cliffs, NJ, 1982.
7.
Gattass, M., and Abel, J. F., “Equilibrium Considerations of the Updated Lagrangian Formulation of Beam Columns with Natural Concepts,” International Journal for Numerical Methods in Engineering, to be published.
8.
McGuire, W., and Gallagher, R. H., Matrix Structural Analysis, John Wiley and Sons, New York, NY, 1979.
9.
Porter, F. L., and Powell, G. H., “Static and Dynamic Analysis of Inelastic Frame Structures,” Report No. EERC 71‐3, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA, June, 1971.
10.
Vlasov, V. Z., Thin‐Walled Elastic Beams, 2nd ed., Moscow, USSR, 1959;
English translation, Israel Program for Scientific Translation, Jerusalem, Israel, 1961.
11.
Yang, Y. B., “Linear and Nonlinear Analysis of Space Frames with Nonuniform Torsion Using Interactive Computer Graphics,” thesis presented to Cornell Univ., at Ithaca, NY, in 1984, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Yang, Y. B., and McGuire, W., “A Procedure for Analyzing Space Frames with Partial Warping Restraint,” International Journal for Numerical Methods in Engineering, Vol. 20, No. 8, Aug., 1984, pp. 1377–1398.
13.
Yang, Y. B., and McGuire, W., “A Work Control Method for Geometrically Nonlinear Analysis,” proceedings of the International Conference on Advances in Numerical Methods in Engineering, Swansea, UK, Jan., 1985, pp. 913–921.
14.
Yang, Y. B., and McGuire, W., “A Stiffness Matrix for Geometric Nonlinear Analysis,” Journal of Structural Engineering, ASCE, Vol. 112, No. ST4, Apr., 1986, pp. 853–877.
15.
Ziegler, H., Principle of Structural Stability, 2nd ed., Birkhauser Verlag, Basel und Stuttgart, 1977.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 4April 1986
Pages: 879 - 905

History

Published online: Apr 1, 1986
Published in print: Apr 1986

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Authors

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Yeong‐Bin Yang, A. M. ASCE
Assoc. Prof., Dept. of Civil Engrg., National Taiwan Univ., Taipei, Taiwan, ROC; formerly Grad. Research Asst., School of Civ. Engrg., Cornell Univ., Ithaca, NY
William McGuire, F. ASCE
Prof. of Struct. Engrg., Cornell Univ., Ithaca, NY

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