A unified numerical-analytical technique for determining bifurcation and limiting critical values of axisymmetric loads in systems composed of coaxial shells of revolution with different geometry and structure is proposed. The technique is based on the nonlinear formulation of the problem, static stability criterion, and rational reduction of the problem to linear one-dimensional problems for the meridional variable. This allows continuous description of the variation of geometric and stiffness characteristics of shells in this direction. The technique was tested against a number of numerical examples related to the stability of compound shells with elements of different Gaussian curvature.
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Translated from Prikladnaya Mekhanika, Vol. 53, No. 5, pp. 74–86, September–October, 2017.
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Bespalova, E.I., Yaremchenko, N.P. Stability of Systems Composed of Shells of Revolution. Int Appl Mech 53, 545–555 (2017). https://doi.org/10.1007/s10778-017-0835-1
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DOI: https://doi.org/10.1007/s10778-017-0835-1