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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (8): 713-722.

• 论文 • 上一篇    下一篇

PLASTIC POST-BUCKLING OF A SIMPLY SUPPORTED COLUMNWITH A SOLID RECTANGULAR CROSS-SECTION

程尧舜1, 卢文达2, 方红2   

  1. 1. College of Structural Engineering, Tongyi University., Shanghai, 200092, P. R. China;
    2. Department of Mechanical Engineering, East China University of Technology., Shanghai, 200093, P. R. China
  • 收稿日期:1994-12-01 出版日期:1995-08-18 发布日期:1995-08-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

PLASTIC POST-BUCKLING OF A SIMPLY SUPPORTED COLUMNWITH A SOLID RECTANGULAR CROSS-SECTION

Cheng Yaoshun1, Lu Wenda2, Fang Hong2   

  1. 1. College of Structural Engineering, Tongyi University., Shanghai, 200092, P. R. China;
    2. Department of Mechanical Engineering, East China University of Technology., Shanghai, 200093, P. R. China
  • Received:1994-12-01 Online:1995-08-18 Published:1995-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

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摘要： The plastic post-buckling of a simply supported column with a solid rectangularcross-section is analysed by a new approach. High order terms in the asymptotic post-buckling expansions are carried out. In some aspects, the method proposed in thispaper is similar io Hutchinson’s. However, the computation is simple since theintroduction is avoided of stretched coordinates. The method can be used to analyseinitial post-bifurcation of plates and shells in the plastic range.

Abstract: The plastic post-buckling of a simply supported column with a solid rectangularcross-section is analysed by a new approach. High order terms in the asymptotic post-buckling expansions are carried out. In some aspects, the method proposed in thispaper is similar io Hutchinson’s. However, the computation is simple since theintroduction is avoided of stretched coordinates. The method can be used to analyseinitial post-bifurcation of plates and shells in the plastic range.

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