Stability of perfect and imperfect cylindrical shells under axial compression and torsion

Abstract

Stability analyses of perfect and imperfect cylindrical shells under axial compression and torsion were presented. Finite element method for the stability analysis of perfect cylindrical shells was put forward through comparing critical loads and the first buckling modes with those obtained through theoretical analysis. Two typical initial defects, non-circularity and uneven thickness distribution, were studied. Critical loads decline with the increase of non-circularity, which exist in imperfect cylindrical shells under both axial compression and torsion. Non-circularity defect has no effect on the first buckling mode when cylindrical shell is under torsion. Unfortunately, it has a completely different buckling mode when cylindrical shell is under axial compression. Critical loads decline with the increase of thickness defect amplitude, which exist in imperfect cylindrical shells under both axial compression and torsion, too. A greater wave number is conducive to the stability of cylindrical shells. The first buckling mode of imperfect cylindrical shells under torsion maintains its original shape, but it changes with wave number when the cylindrical shell is under axial compression.

Keywords

stability / cylindrical shell / non-circularity / thickness distribution / axial compression / torsion

References

[1] LorenzZ. Axisymmetric distortions in hollow cylinder [J]. Z Ver Deut Ingr, 1908, 52: 1766-1793

[2] TimoshenkoS P. The stability problem in engineer [J]. Z Math Phys, 1910, 58: 337-357

[3] SouthwellR V. On the general theory of elastic stability [J]. Phil. Trans Royal Society. London, Series A, 1914, 213: 187-202

[4] RobertsonAThe strength of tubular struts [R], 1929

[5] LundquistEStrength test of thin-walled duralumin cylinders in compression [R], 1933

[6] GotoY, ShangC. Plastic buckling transition modes in moderately thick cylindrical shells [J]. J Eng Mech, 1999, 125(4): 426-434

[7] KimS E, KimC S. Buckling strength of the cylindrical shell and tank subjected to axially compressive loads [J]. Thin-Walled Structures, 2002, 40: 329-353

[8] MandaraA, MazzolaniM. Stocky cylinders if compression: Postcritical path evaluation and collapse load prediction with ABAQUS. [C]. Proceedings of ABAQUS User’s Conference. Archen, Germany, 1993421-435

[9] ChyssanthopolosM K. Stochastic imperfection modeling in shell buckling studies [J]. Thin-Walled Structures, 1995, 23: 179-200

[10] BlachutJ. Buckling of axially compressed cylinders with imperfect length [J]. Computer and Structures, 2010, 88: 365-374

[11] DonnelL H, WanC C. Effect of imperfection on buckling of thin cylinders and columns under axial compression [J]. Appl Mech, 1950, 17: 73-83

[12] MillerC D. Buckling of axially compressed cylinder [J]. Struct Div, 1976, 103(ST3): 695-721

[13] SingerJ. On the importance of shell buckling experiments [J]. Appl Mech Rev, 1999, 52(6): 17-25

[14] DonnellL HStability of thin-walled tubes under torsion [R], 1933479

[15] CaiX W, GaoL X, ChangL, DuJ Q. Influence by oil casing imperfections on anti-collapse strength [J]. Oil Field Equipment, 2009, 38(2): 38-41

[16] SongJ Y, RenH W, NieJ G. Nonlinear shear buckling analysis of corrugated steel webs [J]. Journal of Highway and Transportation Research and Development, 2005, 22(11): 89-92