Generalised beam theory to analyse the buckling behaviour of circular cylindrical shells and tubes

Thin-Walled Structures

Volumn 45, Issue 2, 2007, Pages 185-198

  Silvestre, N ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

Bending; Circular hollow sections (CHS); Compression; Cylinders; Generalised beam theory (GBT); Local buckling; Torsion; Tubes

Indexed keywords

BUCKLING; COMPACTION; FINITE ELEMENT METHOD; KINEMATICS; STRAIN; TUBES (COMPONENTS);

CIRCULAR HOLLOW SECTIONS (CHS); GENERALISED BEAM THEORY (GBT); LOCAL BUCKLING;

SHELLS (STRUCTURES);

EID: 34247112360     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2007.02.001     Document Type: Article

References (37)

1. Lorenz R. Achsensymmetrische verzerrungen in dünnwandingen hohlzzylindern. Z Vereines Deutscher Ing. 52 43 (1908) 1706-1713
2. Donnell L.H. A new theory for the buckling of thin cylinders under axial compression and bending. Trans ASME 56 (1934) 795-806
3. Von Karman T., and Tsien H.S. The buckling of thin cylindrical shells under axial compression. J Aeronaut Sci 8 6 (1941) 303-312
4. Donnel L.H., and Wan C.C. Effect of imperfections on the buckling of thin cylinders and columns under axial compression. J Appl Mech (ASME) 17 1 (1950) 73-83
5. Flügge W. Die stabilitat der kreiszylinderschale. Ingenieur-Arch 3 (1932) 463-506
6. Flügge W. Stresses in shells (1960), Springer, New York
7. Seide P., and Weingarten W.I. On the buckling of circular cylindrical shells under pure bending. J Appl Mech Div (ASME) 28 1 (1961) 112-116
8. Murray N.W., and Bilston P. Local buckling of thin-walled pipes being bent in the plastic range. Thin-Wall Struct 14 (1992) 411-434
9. Stephens W.B., Starnes J.H., and Almorth B.O. Collapse of long cylindrical shells under combined bending and pressure loads. AIAA J 13 1 (1975) 20-25
10. Karyadi E. The effect of length variation on stability of circular cylindrical shells. Research report no. LR-669, Faculty of Aerospace Engineering, Delft University, 1991.
11. Teng J.G. Buckling of thin shells: recent advances and trends. Appl Mech Rev (ASME) 49 4 (1996) 263-274
12. Elchalakani M, Zhao XL, Grzebieta RH. A closed-form solution for elastic buckling of thin-walled unstiffened circular cylinders under pure flexure. In: Proceedings of the 1st international conference on steel and composite structures, Pusan, Korea. Seoul: Techno-Press; 2001. p. 267-74.
13. Schwerin E. Die torsions-stabilitat des dunnwandigen rohres. Z Angew Math Mech 5 (1925) 235-243
14. Donnell LH. Stability of thin-walled tubes under torsion. NACA report no. 479, 1933.
15. Batdorf SB, Schildcrout M, Stein M. Critical stress of thin-walled cylinders in torsion. NACA technical note no. 1344, 1947.
16. Gerard G. Compressive and torsional buckling of thin-walled cylinders in yield region. NACA technical note no. 3726, 1965.
17. Schilling C.G. Buckling strength of circular tubes. J Struct Div (ASCE) 91 ST5 (1965) 325
18. Yamaki N., and Matsuda K. Postbuckling behavior of circular cylindrical shells under torsion. Arch Appl Mech 45 2 (1976) 79-89
19. Meyer-Piening H.R., Farshad M., Geier B., and Zimmermann R. Buckling loads of CFRP composite cylinders under combined axial and torsion loads-experiments and computations. Compos Struct 53 (2001) 427-435
20. Bisagni C., and Cordisco P. An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsional loading. Compos Struct 60 (2003) 391-402
21. Tafreshi A, Bailey CG. Instability of imperfect composite cylindrical shells under combined loading. Compos Struct 2006, in press [doi:10.1016/j.compstruct.2006.02.031].
22. Schardt R. Verallgemeinerte Technische Biegetheorie (1989), Springer, Berlin
23. Davies JM. Generalised beam theory (GBT) for coupled instability problems. In: Rondal J, editor. Coupled instability in metal structures: theoretical and design aspects. CISM course no. 379. Vienna: Springer; 1998. p. 151-223.
24. Camotim D, Silvestre N, Gonçalves R, Dinis PB. GBT-based structural analysis of thin-walled members: overview, recent progress and future developments. In: Pandey M, Xie WC, Chu L, editors. Advances in engineering structures, mechanics and construction, SMCD 2006, Waterloo, 14-17 May. New York: Springer; 2006. p. 187-204.
25. Dinis P.B., Camotim D., and Silvestre N. GBT formulation to analyse the buckling behaviour of thin-walled members with arbitrarily 'branched' open cross-sections. Thin-Wall Struct 44 1 (2006) 20-38
26. Schardt C. Zur berechnung des kreiszylinders mit ansätzen der verallgemeinerten technischen biegetheorie. Diplomarbeit Institut für Mechanik, TU Darmstadt, 1985.
27. Sanders J.L. Non-linear theories for thin shells. Q J Appl Math 21 1 (1963) 21-36
28. Ju G.T., and Kyriakides S. Bifurcation and localization instabilities in cylindrical shells under bending-II. Predictions. Int J Solids Struct 29 9 (1992) 1143-1171
29. Silvestre N., and Camotim D. GBT buckling analysis of pultruded FRP lipped channel members. Comput Struct 81 18-19 (2003) 1889-1904
30. Silvestre N., and Camotim D. Distortional buckling formulae for cold-formed steel C and Z-section members: Part I-derivation. Thin-Wall Struct 42 11 (2004) 1567-1597
31. Love A.E. A treatise on the mathematical theory of elasticity (1927) [New edition in 1944]. New York:
32. Timoshenko S.P., and Gere J.M. Theory of elastic stability (1961), McGraw-Hill, New York
33. Singer J., Arbocz J., and Weller T. Buckling experiments-experimental methods in buckling of thin-walled structures (2002), Wiley, New York
34. Brush D.O., and Almroth B.O. Buckling of bars, plates and shells (1975), McGraw-Hill, New York
35. Hibbit, Karlsson & Sorensen Inc. Abaqus Standard (version 6.3-1), 2002.
36. In: Galambos T.V. (Ed). Guide to stability design criteria for metal structures. 5th ed (1998), Wiley, New York
37. Yu W.W. Cold-formed steel design. 3rd ed (2000), Wiley, New York