Knockdown factors for buckling of cylindrical and spherical shells subject to reduced biaxial membrane stress
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...
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| Published in | International journal of solids and structures Vol. 47; no. 10; pp. 1443 - 1448 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
15.05.2010
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Hutchinson, John W. |
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| Keywords | Cylindrical shells Spherical shells Imperfection-sensitivity Buckling Knockdown factors |
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| References_xml | – volume: 1 start-page: 2316 year: 1963 end-page: 2319 ident: bib13 article-title: Buckling of a truncated hemispherical under axial tension publication-title: AIAA J. – year: 2009 ident: bib6 publication-title: Elastic Stability of Solids and Structures – reference: Limam, A., Jullien, J.F., Grego, E., Lestrat, D., 1991. Buckling of thin-walled cylinders under axial compression and internal pressure. In: Jullien, J.F. (Ed.), Proceedings of the International Colloquium on Buckling of Shell Structures on Land, in the Sea and in the Air, Lyon, September 1991, Elsevier, Amsterdam, pp. 359–369. – volume: 44 start-page: 39 year: 2006 end-page: 50 ident: bib8 article-title: Experimental collapse of thin cylindrical shells submitted to internal pressure and pure bending publication-title: J. Thin-Wall Struct. – volume: 116 start-page: 2253 year: 1990 end-page: 2271 ident: bib10 article-title: Elastic Buckling of imperfect cylinders containing granular solids publication-title: J. Struct. Eng. – start-page: 48 year: 1967 end-page: 55 ident: bib3 article-title: Imperfection sensitivity of externally pressurized spherical shells publication-title: J. Appl. Mech. – volume: 3 start-page: 1461 year: 1965 end-page: 1465 ident: bib2 article-title: Axial buckling of pressurized imperfect cylindrical shells publication-title: AIAA J. – volume: 66 start-page: 265 year: 1963 end-page: 279 ident: bib5 article-title: The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression publication-title: Kon. Neder. Acad. Wet. B – volume: 118 start-page: 229 year: 1992 end-page: 247 ident: bib12 article-title: Buckling of pressurized axisymmetrically imperfect cylinders under axial loads publication-title: J. Eng. Mech. – reference: NASA SP-8007, 1965. Buckling of thin-walled circular cylinders. – reference: Seide, P., Weingarten, V.I., Morgan, E.J., 1960. The development of design criteria for elastic stability of thin shell structures. Final Report: STL/TR-60-0000-19425, Space Technology Laboratories, Inc., Los Angles, CA, December 1960. – start-page: 239 year: 1972 end-page: 260 ident: bib1 article-title: Buckling of circular cylindrical shells under axial compression publication-title: Contributions to the Theory of Aircraft Structures – reference: Koiter, W.T., 1945. On the stability of elastic equilibrium (in Dutch with English summary). Thesis Delft, H.J. Paris, Amsterdam. – ident: 10.1016/j.ijsolstr.2010.02.009_bib4 – ident: 10.1016/j.ijsolstr.2010.02.009_bib9 – volume: 118 start-page: 229 issue: 2 year: 1992 ident: 10.1016/j.ijsolstr.2010.02.009_bib12 article-title: Buckling of pressurized axisymmetrically imperfect cylinders under axial loads publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)0733-9399(1992)118:2(229) – year: 2009 ident: 10.1016/j.ijsolstr.2010.02.009_bib6 – ident: 10.1016/j.ijsolstr.2010.02.009_bib7 doi: 10.1201/9781482286731 – volume: 44 start-page: 39 issue: 1 year: 2006 ident: 10.1016/j.ijsolstr.2010.02.009_bib8 article-title: Experimental collapse of thin cylindrical shells submitted to internal pressure and pure bending publication-title: J. Thin-Wall Struct. doi: 10.1016/j.tws.2005.09.006 – start-page: 48 year: 1967 ident: 10.1016/j.ijsolstr.2010.02.009_bib3 article-title: Imperfection sensitivity of externally pressurized spherical shells publication-title: J. Appl. Mech. – volume: 3 start-page: 1461 year: 1965 ident: 10.1016/j.ijsolstr.2010.02.009_bib2 article-title: Axial buckling of pressurized imperfect cylindrical shells publication-title: AIAA J. doi: 10.2514/3.3169 – ident: 10.1016/j.ijsolstr.2010.02.009_bib11 doi: 10.21236/AD0490800 – volume: 66 start-page: 265 year: 1963 ident: 10.1016/j.ijsolstr.2010.02.009_bib5 article-title: The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression publication-title: Kon. Neder. Acad. Wet. B – start-page: 239 year: 1972 ident: 10.1016/j.ijsolstr.2010.02.009_bib1 article-title: Buckling of circular cylindrical shells under axial compression – volume: 116 start-page: 2253 issue: 8 year: 1990 ident: 10.1016/j.ijsolstr.2010.02.009_bib10 article-title: Elastic Buckling of imperfect cylinders containing granular solids publication-title: J. Struct. Eng. doi: 10.1061/(ASCE)0733-9445(1990)116:8(2253) – volume: 1 start-page: 2316 year: 1963 ident: 10.1016/j.ijsolstr.2010.02.009_bib13 article-title: Buckling of a truncated hemispherical under axial tension publication-title: AIAA J. doi: 10.2514/3.2059 |
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| SubjectTerms | Buckling Compressing Cylindrical shells Defects Imperfection-sensitivity Knockdown factors Membranes Reduction Spherical shells Stresses |
| Title | Knockdown factors for buckling of cylindrical and spherical shells subject to reduced biaxial membrane stress |
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