Probabilistic imperfection sensitivity analysis of axially compressed composite cylinders
Buckling analysis of cylinders under axial compression is sensitive to the assumptions made in the modelling of initial imperfections. Normally, imperfection modes are selected solely on the basis of buckling mode considerations and their amplitudes are determined using tolerance specifications in c...
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| Published in | Engineering structures Vol. 17; no. 6; pp. 398 - 406 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier Ltd
01.07.1995
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | Buckling analysis of cylinders under axial compression is sensitive to the assumptions made in the modelling of initial imperfections. Normally, imperfection modes are selected solely on the basis of buckling mode considerations and their amplitudes are determined using tolerance specifications in codes or experimentally recorded values. Whilst this approach may be used for metal cylinders with some confidence, due to the many test results available for validation purposes, it is not appropriate for the analysis and design of fibre-reinforced composite cylinders where the test results are limited and the effects of manufacturing on the imperfection characteristics have not yet been studied in detail. This paper presents a methodology for probabilistic buckling strength assessment based on the results of a statistical analysis on imperfections on two groups of composite cylinders manufactured by lay-up. The dominant features are quantified and the effect of fibre orientation on imperfections is examined. Simple models describing the random variability of imperfection modal amplitudes are presented. Using these probabilistic models, characteristic imperfection shapes are developed for fibre-reinforced cylinders and their use in buckling strength prediction and tolerance specification is demonstrated |
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| AbstractList | Buckling analysis of cylinders under axial compression is sensitive to the assumptions made in the modelling of initial imperfections. Normally, imperfection modes are selected solely on the basis of buckling mode considerations and their amplitudes are determined using tolerance specifications in codes or experimentally recorded values. Whilst this approach may be used for metal cylinders with some confidence, due to the many test results available for validation purposes, it is not appropriate for the analysis and design of fibre-reinfroced composite cylinders where the test results are limited and the effects of manufacturing on the imperfection characteristics have not yet been studied in detail. This paper presents a methodology for probabilistic buckling strength assessment based on the results of a statistical analysis on imperfections on two groups of composite cylinders manufactured by lay-up. The dominant features are quantified and the effect of fibre orientation on imperfections is examined. Simple models describing the random variability of imperfection modal amplitudes are presented. Using these probabilistic models, characteristic imperfection shapes are developed for fibre-reinforced cylinders and their use in buckling strength prediction and tolerance specification is demonstrated. Buckling analysis of cylinders under axial compression is sensitive to the assumptions made in the modelling of initial imperfections. Normally, imperfection modes are selected solely on the basis of buckling mode considerations and their amplitudes are determined using tolerance specifications in codes or experimentally recorded values. Whilst this approach may be used for metal cylinders with some confidence, due to the many test results available for validation purposes, it is not appropriate for the analysis and design of fibre-reinforced composite cylinders where the test results are limited and the effects of manufacturing on the imperfection characteristics have not yet been studied in detail. This paper presents a methodology for probabilistic buckling strength assessment based on the results of a statistical analysis on imperfections on two groups of composite cylinders manufactured by lay-up. The dominant features are quantified and the effect of fibre orientation on imperfections is examined. Simple models describing the random variability of imperfection modal amplitudes are presented. Using these probabilistic models, characteristic imperfection shapes are developed for fibre-reinforced cylinders and their use in buckling strength prediction and tolerance specification is demonstrated |
| Author | Poggi, Carlo Chryssanthopoulos, Marios K. |
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| Cites_doi | 10.1061/(ASCE)0733-9445(1991)117:7(1998) 10.1115/1.3168980 10.1016/0263-8223(85)90032-7 10.1243/03093247V221017 10.1016/0020-7683(90)90011-J 10.1061/(ASCE)0733-9445(1991)117:7(1979) 10.1016/0020-7683(88)90029-7 10.1016/0961-9526(91)90042-Q 10.2514/3.9751 |
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| Keywords | composites buckling imperfections probabilistic modelling axial compression manufacturing effects cylinders Compression Sensitivity analysis Methodology Metals Tolerance Statistical methods Defects Design Cylinder Composite materials Probabilistic model Manufacture Buckling Strength |
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| References | Chryssanthopoulos, Baker, Dowling (BIB14) 1991; 117 Elishakoff, Arbocz (BIB12) 1985; 52 Arbocz, Hol (BIB7) 1990; 26 Chryssanthopoulos, Kim, Dowling (BIB16) 1992 Khot, Venkayya (BIB6) 1970 Singer, Abramovich, Yaffe (BIB11) 1987; 22 Krishnakumar, Tennyson (BIB17) 1991 Tennyson (BIB1) 1972 Simitses, Shaw, Sheinman (BIB2) 1985; 4 Koiter, Koiter (BIB5) 1945 Simitses, Anastasiadis (BIB4) 1991; 1 Arbocz (BIB8) 1991 Poggi, Taliercio, Capsoni (BIB9) 1991 Chryssanthopoulos, Giavotto, Poggi (BIB19) 1991 Iu, Chia (BIB3) 1988; 24 Chryssanthopoulos, Baker, Dowling (BIB15) 1991; 117 ABAQUS (BIB21) 1989 Arbocz (BIB10) 1983 Giavotto, Poggi, Dowling, Chryssanthopoulos (BIB18) 1991 Elishakoff, van Manen, Vermeulen, Arbocz (BIB13) 1987; 25 Kendall, Stuart (BIB20) 1965; Vol. 1 Krishnakumar (10.1016/0141-0296(95)00048-C_BIB17) 1991 ABAQUS (10.1016/0141-0296(95)00048-C_BIB21) 1989 Giavotto (10.1016/0141-0296(95)00048-C_BIB18) 1991 Tennyson (10.1016/0141-0296(95)00048-C_BIB1) 1972 Simitses (10.1016/0141-0296(95)00048-C_BIB2) 1985; 4 Simitses (10.1016/0141-0296(95)00048-C_BIB4) 1991; 1 Poggi (10.1016/0141-0296(95)00048-C_BIB9) 1991 Chryssanthopoulos (10.1016/0141-0296(95)00048-C_BIB19) 1991 Arbocz (10.1016/0141-0296(95)00048-C_BIB8) 1991 Arbocz (10.1016/0141-0296(95)00048-C_BIB10) 1983 Iu (10.1016/0141-0296(95)00048-C_BIB3) 1988; 24 Chryssanthopoulos (10.1016/0141-0296(95)00048-C_BIB15) 1991; 117 Kendall (10.1016/0141-0296(95)00048-C_BIB20) 1965; Vol. 1 Singer (10.1016/0141-0296(95)00048-C_BIB11) 1987; 22 Elishakoff (10.1016/0141-0296(95)00048-C_BIB12) 1985; 52 Koiter (10.1016/0141-0296(95)00048-C_BIB5_1) 1945 Chryssanthopoulos (10.1016/0141-0296(95)00048-C_BIB16) 1992 Elishakoff (10.1016/0141-0296(95)00048-C_BIB13) 1987; 25 Chryssanthopoulos (10.1016/0141-0296(95)00048-C_BIB14) 1991; 117 Koiter (10.1016/0141-0296(95)00048-C_BIB5_2) 1967 Khot (10.1016/0141-0296(95)00048-C_BIB6) 1970 Arbocz (10.1016/0141-0296(95)00048-C_BIB7) 1990; 26 |
| References_xml | – start-page: 733 year: 1992 end-page: 743 ident: BIB16 article-title: Buckling behaviour of composite GFRP cylindrical panels under axial compression publication-title: Proc. 6th Int. Conf. Behaviour of Offshore Structures contributor: fullname: Dowling – start-page: 61 year: 1991 end-page: 70 ident: BIB17 article-title: Effect of impact delaminations on axial buckling of composite cylinders publication-title: Buckling of shell structures, on land, in the sea and in the air contributor: fullname: Tennyson – volume: Vol. 1 year: 1965 ident: BIB20 publication-title: The advanced theory of statistics contributor: fullname: Stuart – year: 1991 ident: BIB8 article-title: The effect of initial imperfections on shell stability — a review publication-title: Report LR-618 contributor: fullname: Arbocz – start-page: 114 year: 1991 end-page: 123 ident: BIB9 article-title: Fibre orientation effects on the buckling behaviour of imperfect composite cylinders publication-title: Buckling of shell structures, on land, in the sea and in the air contributor: fullname: Capsoni – start-page: 43 year: 1983 end-page: 74 ident: BIB10 article-title: Shell stability analysis: theory and practice publication-title: Collapse:the buckling of structures in theory and in practice contributor: fullname: Arbocz – start-page: 43 year: 1991 end-page: 52 ident: BIB19 article-title: Statistical imperfection models for buckling analysis of composite shells publication-title: Buckling of shell structures, on land, in the sea and in the air contributor: fullname: Poggi – volume: 25 start-page: 1113 year: 1987 end-page: 1117 ident: BIB13 article-title: Firstorder second-moment analysis of the buckling of shells with random imperfections publication-title: AIAA J. contributor: fullname: Arbocz – year: 1989 ident: BIB21 publication-title: Theory and user's manual contributor: fullname: ABAQUS – volume: 117 start-page: 1979 year: 1991 end-page: 1997 ident: BIB14 article-title: Statistical analysis of imperfections in stiffened cylinders publication-title: J. 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Struct. doi: 10.1016/0263-8223(85)90032-7 contributor: fullname: Simitses – year: 1970 ident: 10.1016/0141-0296(95)00048-C_BIB6 article-title: Effect of fiber orientation on initial post-buckling behaviour and imperfection sensitivity of composite cylindrical shells publication-title: AFFDL TR-70-125 contributor: fullname: Khot – volume: 22 start-page: 17 issue: 1 year: 1987 ident: 10.1016/0141-0296(95)00048-C_BIB11 article-title: Evaluation of stiffened shell characteristics from imperfection measurements publication-title: J. Strain Analysis doi: 10.1243/03093247V221017 contributor: fullname: Singer – start-page: 61 year: 1991 ident: 10.1016/0141-0296(95)00048-C_BIB17 article-title: Effect of impact delaminations on axial buckling of composite cylinders contributor: fullname: Krishnakumar – volume: 26 start-page: 945 issue: 9/10 year: 1990 ident: 10.1016/0141-0296(95)00048-C_BIB7 article-title: Koiter's stability theory in a computer aided engineering environment publication-title: Int. J. Solids Struct. doi: 10.1016/0020-7683(90)90011-J contributor: fullname: Arbocz – year: 1989 ident: 10.1016/0141-0296(95)00048-C_BIB21 contributor: fullname: ABAQUS – volume: 117 start-page: 1979 issue: 7 year: 1991 ident: 10.1016/0141-0296(95)00048-C_BIB14 article-title: Statistical analysis of imperfections in stiffened cylinders publication-title: J. Struct. Engng, ASCE doi: 10.1061/(ASCE)0733-9445(1991)117:7(1979) contributor: fullname: Chryssanthopoulos – volume: 24 start-page: 195 issue: 2 year: 1988 ident: 10.1016/0141-0296(95)00048-C_BIB3 article-title: Non-linear vibration and post-buckling of unsymmetric cross-ply circular cylindrical shells publication-title: Int. J. Solids Struct. doi: 10.1016/0020-7683(88)90029-7 contributor: fullname: Iu – volume: 1 start-page: 375 issue: 6 year: 1991 ident: 10.1016/0141-0296(95)00048-C_BIB4 article-title: Buckling of axially-loaded, moderately thick cylindrical laminated shells publication-title: Composites Engng doi: 10.1016/0961-9526(91)90042-Q contributor: fullname: Simitses – volume: 25 start-page: 1113 year: 1987 ident: 10.1016/0141-0296(95)00048-C_BIB13 article-title: Firstorder second-moment analysis of the buckling of shells with random imperfections publication-title: AIAA J. doi: 10.2514/3.9751 contributor: fullname: Elishakoff – year: 1945 ident: 10.1016/0141-0296(95)00048-C_BIB5_1 article-title: On the stability of elastic equilibrium contributor: fullname: Koiter – start-page: 53 year: 1991 ident: 10.1016/0141-0296(95)00048-C_BIB18 article-title: Buckling behaviour of composite shells under combined loading contributor: fullname: Giavotto – volume: Vol. 1 year: 1965 ident: 10.1016/0141-0296(95)00048-C_BIB20 contributor: fullname: Kendall |
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| SubjectTerms | Applied sciences axial compression buckling Buildings. Public works composites cylinders Exact sciences and technology imperfections manufacturing effects probabilistic modelling Stresses. Safety Structural analysis. Stresses |
| Title | Probabilistic imperfection sensitivity analysis of axially compressed composite cylinders |
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