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The radius of the shell is 40 mm (R/t = 400)
FROM:
Tadeusz Niezgodzinski and Jacek Swiniarski (Technical University of Lodz, Poland),
“Numerical calculations of stability of spherical shells”, Mechanics and Mechanical Engineering, Vol. 14, No. 1, pp 325-337, 2010
ABSTRACT: The results of FEM calculations of stability of thin–walled spherical shells are presented. A static and dynamic stability analysis was cond/Users/dave/Desktop/bucklingandpostbucksphshell.jpgucted. Hemispherical shells and spherical caps with various dilation angles, subjected to external pressure, were considered. For each shell calculated, various boundary conditions of support were analyzed: joint, fixed and elastically fixed support. In the calculations, an axisymmetric and random discretization of the model was accounted for. As a result of the calculations conducted for static loads, values of upper critical pressures and buckling modes of the shells were obtained. The results were presented for various shell thicknesses. The FEM solutions were compared to the available results obtained with analytical and numerical methods, showing a good conformity. Dynamic calculations were conducted for a triangular pulse load. On the basis of the Budiansky–Roth dynamic criterion of stability loss, values of upper dynamic critical pressures were obtained. Shell buckling modes were determined as well.
References listed at the end of the paper:
[1] Budiansky, B. and Roth, R.S.: Axisymmetric dynamic buckling of clamped shallow spherical shell, Collected papers on instability of structures, NASA TN D-1510, 591–600, 1962.
[2] Grigoljuk, E. and Kabanow, W.: Stability of shells, (in Russian), Science, Moscow, 1978.
[3] Marcinowski, J.: Stability of relatively deep segments of spherical shells loaded by external pressure, Journal of Thin Walled Structures, 45, 906–910, 2007.
[4] Simitses, G.J.: Buckling of moderately thick laminated cylindrical shell: a Review, Composites Part B, 27 B, 581–587, 1996.
[5] Simitses, G.J.: Dynamic stability of suddenly loaded structures, Springer Verlag, New York, 1990.
[6] User’s Guide ANSYS 12.1. Ansys. Inc.. Houston. USA
[7] Volmir, A.S.: Stability of deformed bodies, (in Russian), Science, Moscow, 1967.
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