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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 514-520.

• 论文 • 上一篇    下一篇

THERMAL POST-BUCKLING OF AN ELASTIC BEAMS SUBJECTED TO A TRANSVERSELY NON-UNIFORM TEMPERATURE RISING

李世荣1,3, 程昌钧2, 周又和3   

  1. 1. Department of Basic Science, Gansu University to Technology, Lanzhou 730050, P.R.China;
    2. Department of Mechanics, Shanghai University, Shanghai 200436, P.R.China;
    3. Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R.China
  • 收稿日期:2001-04-10 修回日期:2002-09-20 出版日期:2003-05-18 发布日期:2003-05-18
  • 基金资助:
    the National key Basic Research Fundation of Ministry of Science and Technology of China(2001(50))

THERMAL POST-BUCKLING OF AN ELASTIC BEAMS SUBJECTED TO A TRANSVERSELY NON-UNIFORM TEMPERATURE RISING

LI Shi-rong1,3, CHENG Chang-jun2, ZHOU You-he3   

  1. 1. Department of Basic Science, Gansu University to Technology, Lanzhou 730050, P.R.China;
    2. Department of Mechanics, Shanghai University, Shanghai 200436, P.R.China;
    3. Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R.China
  • Received:2001-04-10 Revised:2002-09-20 Online:2003-05-18 Published:2003-05-18
  • Supported by:
    the National key Basic Research Fundation of Ministry of Science and Technology of China(2001(50))

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摘要： Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method, the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising, were investigated. Especially, the influences of the transverse temperature change on the thermal post-buckling deformations were examined and the corresponding characteristic curves were plotted. The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change.

Abstract: Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method, the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising, were investigated. Especially, the influences of the transverse temperature change on the thermal post-buckling deformations were examined and the corresponding characteristic curves were plotted. The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change.

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