Recent advances on postbuckling analyses of thin-walled structures: Beams, frames and cylindrical shells

Journal of Constructional Steel Research

Volumn 62, Issue 11, 2006, Pages 1101-1115

  Kounadis, Anthony N ^a  

^a BIOMEDICAL RESEARCH FOUNDATION   (Greece)

Author keywords

Beams; Cylindrical shells; Frames; Imperfections; Postbuckling analysis; Residual stresses; Rolled shapes; Static dynamic load; Thin walled structures; Warping

Indexed keywords

BEAMS AND GIRDERS; BENDING (DEFORMATION); BUCKLING; DEFECTS; RESIDUAL STRESSES; SHELLS (STRUCTURES); STRUCTURAL FRAMES;

CYLINDRICAL SHELLS; POSTBUCKLING ANALYSIS; ROLLED SHAPES; STATIC LOADS; WARPING;

THIN WALLED STRUCTURES;

EID: 33748955364     PISSN: 0143974X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcsr.2006.06.014     Document Type: Article

References (30)

1. Kounadis A.N., and Ioannidis G.I. Lateral postbuckling analysis of beam-columns. J Eng Mech Div, ASCE 120 4 (1994) 695-706
2. Ioannidis G.I., and Kounadis A.N. Lateral postbuckling analysis of monosymmetric I-beams under uniform bending. J Construct Steel Res 30 (1994) 1-12
3. Kounadis A.N. Postbuckling analysis of bars with thin-walled cross-sections under simultaneous bending and torsion due to central thrust. J Construct Steel Res 45 (1998) 17-37
4. Ioannidis G.I., and Kounadis A.N. Flexurial torsional postbuckling analysis of centrally compressed bars with open thin-walled cross-section. Eng Struct 21 (1999) 55-61
5. Ioannidis G.I., Polyzois D.J., and Kounadis A.N. Elastic limit state flexurial-torsional postbuckling analysis of centrally compressed bars with open thin-walled cross-section under axial thrust. Eng Struct 22 (2000) 472-479
6. Kounadis A.N. An efficient and simple approximate technique for solving non-linear initial and boundary-value problems. Comput Mech 9 (1992) 221-231
7. Kounadis A.N., and Economou A.F. The effects of initial curvature and other parameters on the nonlinear buckling of simple frames. J Struct Mech 12 (1984) 27-42
8. Raftoyiannis I., Konstantakopoulos T., Michaltsos G., Kounadis G.. Dynamic buckling of a simple geometrically imperfect frame using catastrophe theory. Int J Mech Sci [in press]
9. Kounadis A.N. A geometric approach for establishing dynamic buckling loads of autonomous potential two-degree-of-freedom systems. J Appl Mech, ASME 66 (1999) 55-61
10. Kounadis A.N. Dynamic buckling of simple two-bar frames using catastrophe theory. Int J Non-Linear Mech 37 (2002) 1249-1259
11. Chryssanthopoulos M.K., Baker M.J., and Dowling P.J. Statistical analysis of imperfection in stiffened cylinders. J Struct Eng, ASCE 117 7 (1991) 1979-1998
12. Chryssanthopoulos M.K., Baker M.J., and Dowling P.J. Imperfection modeling for buckling analysis of stiffened cylinders. J Struct Eng, ASCE 117 7 (1991) 1998-2017
13. Calladine C.R. A shell-buckling paradox resolved. In: Durban D., Givoli D., and Simonds J.G. (Eds). Advances in the mechanics of plates and shells (2001), Kluwer Academic, Norwell, MA 119-134
14. Singer J., Arbocz J., and Weller T. Buckling experiments: Experimental methods in buckling of thin-walled structures vol. 1 (1998), Wiley, New York
15. Singer J., Arbocz J., and Weller T. Buckling experiments: Experimental methods in buckling of thin-walled structures vol. 2 (2002), Wiley, New York
16. Bodner S.R., and Rubin M.B. Modeling the buckling of axially compressed elastic cylindrical shells. AIAA J 43 1 (2005) 103-110
17. Budiansky B., and Hutchinson J.W. Dynamic buckling of imperfection-sensitive structures. Proceedings of the XI international congress of applied mechanics (1966), Springer-Verlag, Berlin 636-651
18. Hutchinson J.W., and Budiansky B. Dynamic buckling estimates. AIAA J 4 (1966) 525-530
19. Kounadis A.N. Dynamic stability criteria of non-linear elastic damped/undamped systems under step loading. AIAA J 28 7 (1990) 1217-1223
20. Kounadis A.N. Material-dependent stability conditions in the buckling of nonlinear elastic bars. Acta Mech 67 (1987) 209-228
21. Kounadis A.N., and Raftoyiannis J. Dynamic buckling of a 2-DOF imperfect system with symmetric imperfections. Int J Non-Linear Mech 40 (2005) 1229-1237
22. Timoshenko S.P., and Gere J.M. Theory of elastic stability (1961), McGraw-Hill, New York Sec. 11.1
23. Brush D.O., and Almroth B.O. Buckling of bars, plates, and shells (1975), McGraw-Hill Book Co., New York
24. Lignos X.A., Kounadis A.N.. Post-buckling analysis of thin-walld asymmetric angle cross-sections under axial loading. In: Proceed of ICCES conference. 2003
25. Kounadis A.N. Efficiency and accuracy of linearized postbuckling analyses of frames based on elastica. Int J Solids Struct 24 11 (1988) 1097-1112
26. Simitses G.J. Dynamic stability of suddenly loaded structures (1990), Springer-Verlag, New York
27. Simitses G.J., and Kounadis A.N. Buckling of imperfect rigid-jointed frames. J Eng Mech Div, ASCE, EM3 104 (1978) 569-586
28. Von Kármán T., Dunn L.G., and Tsien H. The influence of curvature on the buckling characteristics of structures. J Aeronaut Sci 7 (1940) 276-289
29. Koiter W.T.. On the stability of elastic equilibrium. Thesis. Delft (The Netherlands); 1945 (English translation issued as NASA TT F-10, 833 (1967) [in Dutch]
30. Kounadis A.N., and Mallis J.G. Two efficient approaches of elastica problem of nonlinear elastic bars. J Eng Mech Div, ASCE 113 5 (1987) 766-779