Nonlinear bending and stability of ellipsoidal reverse buckling disks being under the liquid pressure and temperature

Authors

  • Ganeeva M.S. Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Kazan, Russian Federation
  • Moiseeva V.E. Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Kazan, Russian Federation
  • Skvortsova Z.V. Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, Kazan, Russian Federation

UDC

539.37

EDN

ZHXFLX

Abstract

The nonlinear bending and stability of reverse buckling disks have been studied. The reverse buckling disks represent the oblate ellipsoidal shells being under the pressure of the heated or cooled compressed working environment on the convex side of the shells. We have obtained the numerical results depending on the temperature of the working environment. Comparison of the studied ellipsoidal shells with the spherical segments having the same base and depth of pole under the base was also presented. It was found that the biggest critical loads are observed at low temperatures with a significant reduction of their values at elevated temperatures for oblate ellipsoidal shell under the joint action of pressure of the compressed gas and its temperature. Herein, the loads of wave formation in a parallel for all the considered values of temperature are not observed. It is shown that oblate hemi-ellipsoidal shell provides an axisymmetric form of stability loss with the opening of their central part at low temperature and at the same temperature of the loading environment. This is consistent with the operating conditions of the safety reverse buckling disks. It is shown that small changes in geometry lead to a significant change in the stress-strain state and in stability of the considered shells.

Keywords:

reverse buckling disks, ellipsoidal shell, nonlinear bending, temperature, pressure

Authors info

  • Muzayna S. Ganeeva

    д-р физ.-мат. наук, главный научный сотрудник лаборатории механики сплошной среды Института механики и машиностроения Казанского научного центра РАН

  • Valeriya E. Moiseeva

    канд. физ.-мат. наук, старший научный сотрудник лаборатории механики сплошной среды Института механики и машиностроения Казанского научного центра РАН

  • Zara V. Skvortsova

    канд. физ.-мат. наук, ученый секретарь Института механики и машиностроения Казанского научного центра РАН

References

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Issue

Pages

21-27

Section

Article

Dates

Submitted

May 15, 2017

Accepted

May 23, 2017

Published

June 30, 2017

How to Cite

[1]
Ganeeva, M.S., Moiseeva, V.E., Skvortsova, Z.V., Nonlinear bending and stability of ellipsoidal reverse buckling disks being under the liquid pressure and temperature. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, № 2, pp. 21–27.

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