Buckling of thin-walled conical shells under uniform external pressure

More documents

Recommendations

Info

Digital transducer Failure area ARTICLE IN PRESS B.S. Golzan, H. Showkati / Thin-Walled Structures 46 (2008) 516–529 523 Fig. 5. (Continued) Fig. 6. Failure modes of specimens SC5 and SC6. Digital strain gauge Wresting of apex point at the bifurcation
524 geometrical imperfections, apparatus shortcomings and other human and instrument-related factors. On the other hand, for six frusta, taking into account both the buckling load obtained from FEA and the equation developed by Jawad it is noticed that for the first three specimens the latter amount of load exceeds the one that of the previous one whereas for the second three the outcome is completely vice versa. Bearing in mind that the all initial imperfections have been entered to FE models too, one can understated that the results of the first three specimens are closer to reality than the second three; that is because the equation emanated by Jawad formulation is based on the transformed geometrical shape from cylinder to cone; and according to Table 2, (R/r) ratio for the first three is more similar to a cylinder than the second three which have a higher tapering ratio. ARTICLE IN PRESS B.S. Golzan, H. Showkati / Thin-Walled Structures 46 (2008) 516–529 Fig. 7. General layout of failure by formation of plastic displacements in the circumference and supports. 6. Buckling of conical shells The derivation of the equations for the buckling of conical shells is practically convoluted. The derivation for the buckling pressure of the cone, shown in Fig. 8, comprises obtaining expressions for the work carried out by the applied pressure, membrane forces, stretching of the middle surface and bending of the cone. The total work is then minimized to obtain a critical pressure expression. Seide [20] indicated that the buckling of a cone is affected by the function f (1 r/R) and is expressed as p cr ¼ ¯pf ð1 r=RÞ, (1) where ¯p is the pressure of equivalent cylinder as defined above, f the cone function as defined in Fig. 9.
Page 1 and 2: Thin-Walled Structures 46 (2008) 51
Page 3 and 4: 518 Fig. 1. Sector cutting process
Page 5 and 6: 520 It is worth bearing in mind tha
Page 7: 522 pressure(kpa) pressure(kpa) pre
Page 11 and 12: 526 radius 250 240 230 220 210 200
Page 13 and 14: 528 perfect state, a suitable load-

Buckling of thin-walled conical shells under uniform external pressure

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?