Probabilistic Approach to Determination of Reliability of an Imperfect Supporting Shell

A probabilistic approach to reliability analysis for stability of an imperfect supporting shell has been elaborated. The nonlinear stability of the shell under combined loading conditions is analyzed taking into account the shell imperfection. A surface of critical load combinations has been constructed and a field of stability has been defined. The stability reliability has been determined allowing for various types of distribution in frequency of the shell imperfection and its maximum possible preset value through the use of reliability surface. The authors have derived allowable combinations of complex loadings that should be taken into consideration during the design and operation of a supporting shell.

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Correspondence to O. V. Kostina.

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Translated from Problemy Prochnosti, No. 4, pp. 152 – 161, July – August, 2014.

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Bazhenov, V.A., Luk’yanchenko, O.O., Kostina, O.V. et al. Probabilistic Approach to Determination of Reliability of an Imperfect Supporting Shell. Strength Mater 46, 567–574 (2014). https://doi.org/10.1007/s11223-014-9584-0

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Keywords

  • reliability
  • probabilistic approach
  • nonlinear stability
  • cylindrical shell
  • shape imperfection
  • combined loading
  • finite element method