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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (1): 9-14.

• 论文 • 上一篇    下一篇

IMPERFECTION SENSITIVITY ANALYSIS OF A RECTANGULAR COLUMN COMPRESSED INTO THE PLASTIC RANGE

程尧舜1, 方红1, 卢文达2   

  1. 1. College of Structural Engineering, Tongji University, Shanghai 200092, P. R. China;
    2. Department of Mechanical Engineering, East China University of Techanology. Shanghai 200093, P. R. China
  • 收稿日期:1996-08-27 出版日期:1998-01-18 发布日期:1998-01-18

IMPERFECTION SENSITIVITY ANALYSIS OF A RECTANGULAR COLUMN COMPRESSED INTO THE PLASTIC RANGE

Cheng Yaoshun1, Fang Hong1, Lu Wenda2   

  1. 1. College of Structural Engineering, Tongji University, Shanghai 200092, P. R. China;
    2. Department of Mechanical Engineering, East China University of Techanology. Shanghai 200093, P. R. China
  • Received:1996-08-27 Online:1998-01-18 Published:1998-01-18

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摘要： 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.

关键词: plastic buckling, imperfection sensitivity, asymptotic expansion

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.

Key words: plastic buckling, imperfection sensitivity, asymptotic expansion

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