Asymptotic-numerical method to analyze the postbuckling behavior, imperfection-sensitivity, and mode interaction in frames

Journal of Engineering Mechanics

Volumn 131, Issue 6, 2005, Pages 617-632

  Silvestre, N ^a   Camotim, D ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

Frames; Imperfections; Nonlinear response; Perturbation; Postbuckling

Indexed keywords

ASYMPTOTIC STABILITY; BENDING (DEFORMATION); BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; SENSITIVITY ANALYSIS; STRUCTURAL FRAMES;

ASYMPTOTIC-NUMERICAL METHODS; BEAM MODELS; NONLINEAR BEHAVIOR; POSTBUCKLING BEHAVIOR;

BUCKLING;

BUCKLING; NUMERICAL MODEL;

EID: 20544465142     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2005)131:6(617)     Document Type: Article

References (32)

1. Appeltauer, J., and Kollár, L. (1999). "Buckling of frames." Structural stability in engineering practice, L. Kollár, ed., E & FN Spon, London, 129-186.
2. Azrar, L., Cochelin, B., Damil, N., and Potier-Ferry, M. (1993). "An asymptotic-numerical method to compute the postbuckling behaviour of elastic plates and shells." Int. J. Numer. Methods Eng., 36(8), 1251-1277.
3. Besseling, J. F. (1977). "Derivatives of deformation parameters for bar elements and their use in buckling and postbuckling analysis." Comput. Methods Appl. Mech. Eng., 12, 97-124.
4. Budiansky, B. (1974). "Theory of buckling and post-buckling behavior of elastic structures." Advances in applied mechanics, C.-S. Yih, ed., Vol. 14, Academic, New York, 1-65.
5. Casciaro, R., Salerno, G., and Lanzo, A. D. (1992). "Finite element asymptotic analysis of slender elastic structures: a simple approach." Int. J. Numer. Methods Eng., 35(7), 1397-1426.
6. Damil, N., and Potier-Ferry, M. (1990). "A new method to compute perturbed bifurcations: application to the buckling of imperfect elastic structures." Int. J. Eng. Sci., 28(9), 943-957.
7. Davies, J. M. (1991). "The stability of multi-bay portal frames." Struct. Eng., 69(12), 223-229.
8. Hangai, Y., and Kawamata, S. (1972). "Perturbation method in the analysis of geometrically nonlinear and stability problems." Advances in computational methods in structural mechanics and design, J. T. Oden, ed., UAH Press, Univ. of Alabama, Tuscaloosa, Ala., 473-492.
9. Hibbit, Karlsson, and Sorensen Inc. (HKS). (2002) ABAQUS standard, Version 6.3-1, HKS, Providence, R.I.
10. Horne, M. R. (1977). "Safeguards against frame instability in the plastic design of single-storey pitched-roof frames." Proc., Conf. on the Behaviour of Slender Structures, The City Univ., London, v.1-v.22.
11. Khamlichi, A., Elbakkali, L., and Limam, A. (2001). "Postbuckling of elastic beams considering higher order strain terms." J. Eng. Mech., 127(4), 372-378.
12. Koiter, W. T. (1945). "Over der stabiliteit van het elastische evenwicht." PhD thesis, Delft Univ., Delft, The Netherlands;
13. Koiter, W. T. (1967), NASA Rep. No. TT-F-10833, NASA, Washington, D.C.
14. Koiter, W. T. (1967). "Postbuckling analysis of a simple two-bar frame." Recent progress in applied mechanics - The folke odquist volume, Almquist and Wiksell, Stockholm, Sweden, 337-354.
15. Kounadis, A. N., Giri, J., and Simitses, G. J. (1977). "Nonlinear stability analysis of an eccentrically loaded two-bar frame." J. Appl. Mech., 44(4), 701-706.
16. Magnusson, A. (2000). "Treatment of bifurcation points with asymptotic expansion." Comput. Struct., 77(5), 475-484.
17. Olesen, J. F., and Byskov, E. (1982). "Accurate determination of asymptotic postbuckling stresses by the finite element method." Comput. Struct., 15(2), 157-163.
18. Pignataro, M. (1998). "Stability, bifurcation and post-buckling analysis." Coupled instabilities in metal structures: Theoretical and design aspects, J. Rondal, ed., CISM Course 379, Springer, Wien, Germany, 29-83.
19. Pignataro, M., Di Carlo, A., and Rizzi, N. (1985). 'Discussion on "Accurate determination of asymptotic postbuckling stresses by the finite element method" by J. F. Olesen and E. Byskov,' Comput. Struct., 21(5), 933-935.
20. Pignataro, M., Rizzi, N., and Di Carlo, A. (1980). "Symmetric bifurcation of plane frames through a modified energy potential." J. Struct. Mech., 8(3), 237-255.
21. Pignataro, M., Rizzi, N., and Luongo, A. (1991). "Stability, bifurcation and postcritical behaviour of elastic structures." Developments in civil engineering, Vol. 39, Elsevier Science, Amsterdam, The Netherlands.
22. Poulsen, P. N., and Damkilde, L. (1998). "Direct determination of asymptotic structural postbuckling behaviour by the finite element method." Int. J. Numer. Methods Eng., 42(4), 685-702.
23. Rehfield, L. W. (1973). "Advanced elastic postbuckling analysis by a perturbation procedure." AIAA J., 11(5), 759-760.
24. Rizzi, N., Di Carlo, A., and Pignataro, M. (1980). "A parametric post-buckling analysis of an asymmetric two-bar frame." J. Struct. Mech., 8(4), 435-448.
25. Roorda, J. (1965). "Stability of structures with small imperfections." J. Eng. Mech. Div., 91(EM1), 87-106.
26. Roorda, J., and Chilver, A. H. (1970). "Frame buckling: an illustration of the perturbation technique." Int. J. Non-Linear Mech., 5, 235-246.
27. Schafer, B. W., and Graham, L. (2002). "FEM implementation of Koiter's asymptotic post-buckling prediction with application to stochastic post-buckling analysis." Abstracts of 15th ASCE Engineering Mechanics Conf., New York, (CD-ROM), 136-136.
28. Silvestre, N., and Camotim, D. (2002). "Post-buckling behavior, imperfection-sensitivity and mode interaction in pitched-roof steel frames." Proc., of SSRC 2002 Annual Stability Conf., Seattle, 139-162.
29. Thompson, J., and Hunt, G., (1973). A general theory of elastic stability, Wiley, London.
30. Waterloo Maple Incorporation (WMI). (2001). Maple 7, Waterloo, Canada.
31. Wu, B. (1999). "Buckling mode interaction in fixed-end column with central brace." J. Eng. Mech., 125(3), 316-322.
32. Zhang, J., and Ellingwood, B. (1995). "Effects of uncertain material properties on structural stability." J. Struct. Eng., 121(4), 705-716.