TECHNICAL PAPERS
Mar 1, 1988

Degenerate Elements for Combined Flexural and Torsional Analysis of Thin‐Walled Structures

Publication: Journal of Structural Engineering
Volume 114, Issue 3

Abstract

Finite element idealization of thin‐walled structural members under combined flexural and torsional deformation, using the degeneration concept, is presented. The warping displacement field is discretized by an assembly of finite elements which together forms a specific thin‐walled cross section. Based on the assumption that the distortion in the plane of the thin‐walled cross section is negligible, only three “sectional” degrees of freedom are employed in common for all elements of the same cross section. This greatly reduced the overall size of the degrees of freedom. Several thin‐walled structural problems with torsional restraints are solved to illustrate the versatility and the efficiency of the proposed elements.

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References

1.
Argyris, J. H., and Radaj, D. (1971). “Steifigkeitsmatrizen dunnwandiger Stabe und Stabsysteme.” Ingenieur‐Archiv, Springer‐Verlag, Berlin, Germany 40(6) 198–210 (in German).
2.
Barsoum, R., and Gallagher, R. H. (1970). “Finite Element Analysis of Torsional and Torsional‐Flexural Stability Problems.” Int. J. Numer. Methods Eng. 2(3), 335–352.
3.
Bazant, Z. P., and Nimeiri, M. E. (1973). “Large‐deflection spatial buckling of thin‐walled Beams and Frames.” Proc. J. Engrg. Mech., ASCE, 99(6), 1259–1281.
4.
Cywinski, Z. (1964) “Torsion des dunnwandigen stabes mit veranderlichem einfach symmetrischem, offenem Querschnitt.” Der Stahlbau, Verlag Von Wilhelm‐Emst and Sohn, Berlin, 33(10) (in German).
5.
Ettouney, M. M., and Kirby, J. B. (1981). “Warping restraint in three‐dimensional frames.” Proc. J. Struct. Div., ASCE, 107(8), 1643–1656.
6.
Galambos, T. (1968). Structural members and frames. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
7.
Heins, C. P. (1975). Bending and torsional design in structural members, Lexington Books, Lexington, MA.
8.
Heins, C. P., and Evick, D. R. (1972). “Torsion of nonprismatic beams of open section.” Proc. J. Struct. Div., ASCE, 98(12), 2769–2784.
9.
Hughes, T. J. R., Taylor, R. L., and Kanok‐Nukulchai, W. (1977). “A simple and efficient finite element for plate bending.” Int. J. Numer Methods Eng. 11, 1529–1543.
10.
Kanok‐Nukulchai, W. (1979). “A simple and efficient finite element for general shell analysis.” Int. J. Numer. Methods Eng. 14, 179–200.
11.
Kanok‐Nukulchai, W., and Shin, Y. S. (1984). “Versatile and improved higher‐order beam element.” Proc. J. Struct. Div., 110(9), 2234–2249.
12.
Kollbrunner, C. F., and Basler, K. (1969). Torsion in structures. Springer‐Verlag, New York, N.Y.
13.
Konishi, I., Shiraishi, N., and Kambe, S. (1969). “A study of the torsional bending theory of the curved girder bridge with thinwalled closed cross‐section taking the secondary shear deformation into account.” Proc. Symposium on Thinwalled Structures and Space Structures, Tokyo, Japan, 153–167.
14.
Krahula, J. L. (1967). “Analysis of bent and twisted bars using the finite element method.” AIAA J., 5, 1194–1197.
15.
Lee, G. C., and Szabo, B. A. (1967). “Torsional response of tapered I‐girders,” Proc. J. Struct. Div., ASCE, 93(5), 233–251.
16.
Lonkar, S. (1964). “Bending torsion of thin‐walled straight and curved beams with variable open cross‐section,” thesis presented to the Swiss Federal Institute of Technology, Zurich, Switzerland, in partial fulfillment of the requirements of the degree of Doctor of Technical Sciences. Zurich.
17.
Loo, Y. C., and Sriwanich, S. (1983). “A simplified analysis of cable‐stayed box bridges.” Int. J. Struct.. 3(3), 19–27.
18.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity. Dover Publications, New York, N.Y.
19.
Pinsky, P. M., Taylor, R. L., and Pister, K. S. (1978). “Finite deformation of elastic beams.” Unpublished Report, Dept. of Civ. Engrg., University of California, Berkeley, CA.
20.
Redwood, R. G., Mehrotra, B. L., and Mufti, A. A. (1969). “Analysis of three dimensional thinwalled structures.” Proc. J. Struct. Div., ASCE, 95(12), 2863–2873.
21.
Renton, J. D. (1967). “Buckling of frames composed of thin‐walled members.” Thin‐walled structures, A. H. Chilver and J. Wiley, eds., John Wiley and Sons, Inc., New York, N.Y., 1–59.
22.
Taylor, R. L., Zienkiewicz, O. C., and Too, J. M. (1971). “Reduced integration technique in general analysis of plates and shells.” Int. J. Numer, Methods Eng. 3(2), 275–290.
23.
Trahair, N. S. (1977). The behaviour and design of steel structures. Chapman and Hill, London, England.
24.
Vlasov, V. Z. (1961). Thin‐walled elastic beams. National Science Foundation, Washington, D.C.
25.
Zienkiewicz, O. C., Ahmed, S., and Irons, B. M. (1968). “Curved thick shell and membrane elements with particular reference to axi‐symmetric problems.” Proc. Second Conf. Matrix Methods in Structural Mechanics, AFFDL‐TR‐68‐150, 1968.
26.
Zienkiewicz, O. C. (1977). The Finite Element Method. 3rd Ed., McGraw‐Hill, London, England.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 3March 1988
Pages: 657 - 674

History

Published online: Mar 1, 1988
Published in print: Mar 1988

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Worsak Kanok‐Nukulchai, Associate Member, ASCE
Assoc. Prof., Div. of Struct. Engrg. and Constr., Asian Inst. of Tech., P.O. Box 2754, Bangkok 10501, Thailand
M. Sivakumar
Doctoral Student, Dept. of Civ. Engrg., Monash University, Clayton, Vic. 3168, Australia; formerly, Grad. Student, Div. of Struct. Engrg. and Constr., Asian Inst. of Tech., P.O. Box 2754, Bangkok 10501, Thailand

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