INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 卷:47 |
Knockdown factors for buckling of cylindrical and spherical shells subject to reduced biaxial membrane stress | |
Article | |
Hutchinson, John W. | |
关键词: Buckling; Imperfection-sensitivity; Knockdown factors; Cylindrical shells; Spherical shells; | |
DOI : 10.1016/j.ijsolstr.2010.02.009 | |
来源: Elsevier | |
【 摘 要 】
Cylindrical shells under uniaxial compression and spherical shells under equi-biaxial compression display the most extreme buckling sensitivity to imperfections. In engineering practice, the reduction of load carrying capacity due to imperfections is usually addressed by use of a knockdown factor to lower the critical buckling stress estimated or computed without accounting for imperfections. For thin elastic cylindrical shells under uniaxial compression and spherical shells under equi-biaxial compression, the knockdown factor is typically as small as 0.2. This paper explores the alleviation of imperfection-sensitivity for loadings with a reduced circumferential (transverse) membrane stress component. The analysis of Koiter (1963) on the effect of an axisymmetric imperfection on the elastic buckling of a cylindrical shell under uniaxial compression is extended to both cylinders and spheres for loadings that produce general combinations of biaxial membrane stresses. Increases in the knockdown factor due to a reduction of the transverse membrane component are remarkably similar for cylindrical and spherical shells. (C) 2010 Elsevier Ltd. All rights reserved.
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