Abstract
Results are presented of investigations into determining the limit of the magnitudes of uniform external pressure, which when exceeded may cause the possible stability loss of equilibrium states of geometrically perfect ideally elastic spherical shells. Results of calculations of pressures corresponding to this boundary and understanding the necessary conditions of instability of the shells under consideration are close qualitatively and quantitatively to the lower boundary of their experimentally determined critical values. Investigations are performed based on the dynamic criterion of stability and equations of the unperturbed motion of shells linearized in the vicinity of the equilibrium states under consideration.
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Original Russian Text © G.I. Kolosov, 2014, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2014, No. 3, pp. 90–96.
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Kolosov, G.I. Necessary conditions for the instability of spherical shells under external pressure. J. Mach. Manuf. Reliab. 43, 250–254 (2014). https://doi.org/10.3103/S1052618814020071
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DOI: https://doi.org/10.3103/S1052618814020071