Elastic buckling of thin cylindrical shells under local axial compressive stresses

Imperfection sensitivity of thin elastic cylindrical shells subject to partial axial compression

“…6) is strongly affected by the induced shear stress associated with the edge of the load. This phenomenon was also found by Cai et al (2002Cai et al ( , 2003.…”

“…At small load angles, the buckles occur locally beneath the center of the load, but as the load angle increases, the buckles extend over the entire shell height. A similar division into two different modes was found by Cai et al (2002Cai et al ( , 2003.…”

“…Guggenberger et al, 2000), but these relate to failure above supports rather than buckling within the shell. The studies of Cai et al (2002Cai et al ( , 2003 used similar analyses to explore a problem similar to that of the present paper, but adopts a rather different load case, so that these two studies are complimentary. This paper is concerned with the buckling of elastic imperfect cylinders under well-defined local axial compression.…”

“…Cylinders under global bending have received some study (Lundquist, 1935;Fl€ ugge, 1973;Seide and Weingarten, 1961;Stephens and Starnes, 1975;Antoine, 2000), but the circumferential variation of membrane stress is so slow that the behavior is rather similar to that under uniform compression. Windloaded cylinders, which develop non-uniform axial compression have also received some attention (Greiner and Derler, 1995), but very limited information exists on the buckling, nonlinear and post-buckling behavior of imperfect cylindrical shells subject to more general patterns of non-uniform axial compressive stress (Libai and Durban, 1977;Peter, 1974;Saal, 1982;Rotter, 1985;Cai et al, 2002). Some studies of the load-carrying capacity of column-supported shells have recently been undertaken (e.g.…”

On the relationship between mesh and stress field orientations in linear stability analyses of thin plates and shells

“…These include, but are not limited to, cylindrical shells under meridional 'strips' of load [4,5,6,7], cylindrical silos and conical hoppers under eccentric discharge [8,9,10,11], cylindrical silos under wind pressures [12,13], silos on bracket supports [14], cylindrical tanks subject to differential settlement [15] and axially-compressed cylinders with cut-outs [16]. Additionally, global shear buckling modes arise in the modelling of cylindrical tanks subject to transverse shear [17,18] and torsion [19,20] which can arise under seismic action.…”