Потеря устойчивости осесимметричных форм равновесия пологих сферических оболочек под действием внутреннего давления

Research outputpeer-review

1 Citation (Scopus)

Abstract

This work is devoted to the numerical study of unsymmetrical buckling of shallow spherical shells and annular plates with varying mechanical characteristics subjected to internal pressure. We suppose that the edge of the shell is clamped but moving freely in the shell's plane. For the annular plate a roller support is considered for the inner edge of the plate, i.e. the edge that can slide along the figure axes without changing the slope. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. The effect of material inhomogeneity on the buckling load is examined. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties.

Translated title of the contributionOn the unsymmetrical buckling of shallow spherical shells under internal pressure
Original languageRussian
Pages (from-to)390-396
Number of pages7
JournalИЗВЕСТИЯ САРАТОВСКОГО УНИВЕРСИТЕТА. НОВАЯ СЕРИЯ. СЕРИЯ: МАТЕМАТИКА. МЕХАНИКА. ИНФОРМАТИКА
Volume18
Issue number4
DOIs
Publication statusPublished - 2020

Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Mathematics(all)
  • Computer Science(all)
  • Computational Mechanics

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