Stability of Shells of Revolution with Different Gaussian Curvature in the Field of Combined Static Loads

被引：3

作者：

Bespalova, O., I ^{[1
]}

Boreiko, N. P. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterova St, UA-03057 Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2021年 / 57卷 / 04期

关键词：

shells of revolution; alternating Gaussian curvature; stability; combined static loads; dynamic criterion; CYLINDRICAL-SHELLS; EDGE CONDITIONS; PRESSURE;

D O I：

10.1007/s10778-021-01092-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of equilibrium states of shells of revolution with nonzero Gaussian curvature under combined axisymmetric loads is analyzed. The analysis is based on a dynamic stability criterion and allows for the nonlinearity and inhomogeneity of subcritical state and mutual influence of the loads. The stability domains of shells with positive, negative, and alternating curvature at different combinations of distributed pressure and boundary forces and moments are constructed. Substantial differences in sizes and configurations of the stability domains and in buckling modes on the boundary of interaction of the loads are revealed depending on the sign of the curvature.

引用

页码：405 / 413

页数：9

共 46 条

[1] Stability of Shells of Revolution with Different Gaussian Curvature in the Field of Combined Static Loads
O. I. Bespalova
N. P. Boreiko
International Applied Mechanics, 2021, 57 : 405 - 413
[2] Stability of Shells of Revolution of Alternating Gaussian Curvature*
O. I. Bespalova
N. P. Boreiko
International Applied Mechanics, 2022, 58 : 53 - 62
[3] Stability of Shells of Revolution of Alternating Gaussian Curvature*
Bespalova, O., I
Boreiko, N. P.
INTERNATIONAL APPLIED MECHANICS, 2022, 58 (01) : 53 - 62
[4] Stability of anisotropic shells of revolution of positive or negative Gaussian curvature
Boriseiko A.V.
Zhukova N.B.
Semenyuk N.P.
Trach V.M.
International Applied Mechanics, 2010, 46 (03) : 269 - 278
[5] Stability of Systems Composed of the Shells of Revolution with Variable Gaussian Curvature
Grigorenko Y.М.
Bespalova О.І.
Boreiko N.P.
Journal of Mathematical Sciences, 2021, 258 (4) : 527 - 544
[6] Loss of Stability by Shells of Revolution of Negative Gaussian Curvature During Torsion.
Liiva, T.V.
Tovstik, P.E.
Izvestiya Akademii Nauk, S.S.S.R., Mekhanika Tverdogo Tela, 1973, (06): : 92 - 98
[7] POSTBUCKLING OF LAMINATED SHELLS OF REVOLUTION WITH MERIDIONAL CURVATURE UNDER THERMAL AND MECHANICAL LOADS
Singh, S.
Patel, B. P.
Nath, Y.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2009, 9 (01) : 107 - 126
[8] Nonlinear free vibration of orthotropic shallow shells of revolution under the static loads
Wang, YG
Wang, XZ
Song, HF
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1997, 18 (06) : 585 - 591
[9] NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS
王永岗
王新志
宋慧芳
Applied Mathematics and Mechanics(English Edition), 1997, (06) : 585 - 591
[10] Nonlinear free vibration of orthotropic shallow shells of revolution under the static loads
Yonggang W.
Xinzhi W.
Huifang S.
Applied Mathematics and Mechanics, 1997, 18 (6) : 585 - 591

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