| IMPERFECTION SENSITIVITY ANALYSIS OF A RECTANGULAR COLUMN COMPRESSED INTO THE PLASTIC RANGE |
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| 引用本文： | 程尧舜,方红,卢文达. IMPERFECTION SENSITIVITY ANALYSIS OF A RECTANGULAR COLUMN COMPRESSED INTO THE PLASTIC RANGE[J]. 应用数学和力学(英文版), 1998, 19(1): 9-14. DOI: 10.1007/BF02458975 |
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| 作者姓名： | 程尧舜 方红 卢文达 |
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| 作者单位： | Cheng Yaoshun; Fang Hong(College of Structural Engineering，Tongji University，Shanghai 200092，P. R. China) Lu Wenda (Department of Mechanical Engineering，East China University of Techanology. Shanghai 200093，P. R. China) |
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| 摘 要： | I.IntroductionSinceelasticunloadingoccursinthedeformationprocess,theimperfectionsensitivityanalysisofstructuresloadedintotheplasticrangeismuchcomplicated.TheproblemisfirststudiedintheorybyHutchinson(1973,1974)l"ZI.HeusedKoiter'stheorytoanalysethebehaviorpriortotheonsetofelasticunloadingandtoobtaintheloadandthedisplacementatwhichelasticunloadingbegins.NeedlemanandTvergaard(1982)l'jpresentedananalysisofimperfeCtionsensitivityintheplasticrangethatignoreselasticunloading,thatis,substituteshypo-…
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| 收稿时间： | 1998-08-27 |
Imperfection sensitivity analysis of a rectangular column compressed into the plastic range |
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| Cheng Yaoshun,Lu Wenda. Imperfection sensitivity analysis of a rectangular column compressed into the plastic range[J]. Applied Mathematics and Mechanics(English Edition), 1998, 19(1): 9-14. DOI: 10.1007/BF02458975 |
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| Authors: | Cheng Yaoshun Lu Wenda |
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| Affiliation: | (1) College of Structural Engineering, Tongji University, 200092 Shanghai, P. R. China;(2) Department of Mechanical Engineering, East China University of Techanology, 200093 Shanghai, P. R. China |
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| Abstract: | The effect of small geometrical imperfections on the buckling of a rectangularcolumn compressed into the plastic range is studied in this paper. In the analysis. theeffect of elastic unloading is taken into account. An asymptotically exact relation isobtained among the load. the amplitude of imperfections and the amplitude of thebifurcation mode. The results show that foe maximum supported load is very sensitiveto small imperfections, and that, however, there may not be a maxim am load if theimperfection amplitude is greater than some magnitude. |
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| Keywords: | plastic buckling imperfection sensitivity asymptotic expansion |
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