TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (4): 426-432.

TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS

张音翼

Institute of Engineering Mechanics, Nanchang University Nanchang 330029, P. R. China

收稿日期:1997-11-17 修回日期:1998-09-22 出版日期:1999-04-18 发布日期:1999-04-18

TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS

Zhang Yinyi

Institute of Engineering Mechanics, Nanchang University Nanchang 330029, P. R. China

Received:1997-11-17 Revised:1998-09-22 Online:1999-04-18 Published:1999-04-18

摘要/Abstract

摘要： By the aid of differential geometry analysis on the initial buckling of shell element, a set of new and exact buckling bifurcation equations of the spherical shells is derived. Making use of Galerkin variational method, the general stability of the hinged spherical shells with the circumferential shear loads is studied. Constructing the buckling mode close to the bifurcation point deformations, the critical eigenvalues, critical load intensities and critical stresses of torsional buckling ranging from the shallow shells to the hemispherical shell are obtained for the first time.

关键词: spherical shell, buckling bifurcation equation, circumferential shear load, eigenvalue, buckling critical value

Abstract: By the aid of differential geometry analysis on the initial buckling of shell element, a set of new and exact buckling bifurcation equations of the spherical shells is derived. Making use of Galerkin variational method, the general stability of the hinged spherical shells with the circumferential shear loads is studied. Constructing the buckling mode close to the bifurcation point deformations, the critical eigenvalues, critical load intensities and critical stresses of torsional buckling ranging from the shallow shells to the hemispherical shell are obtained for the first time.

Key words: spherical shell, buckling bifurcation equation, circumferential shear load, eigenvalue, buckling critical value

张音翼. TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(4): 426-432.

Zhang Yinyi. TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(4): 426-432.

参考文献

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TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS

TORSIONAL BUCKLING OF SPHERICAL SHELLS UNDER CIRCUMFERENTIAL SHEAR LOADS

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