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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (10): 951-959.

• 论文 • 上一篇    下一篇

ANALYSIS OF STABILITY ON ELASTIC PLATES WITH INITIAL IMPERFECTIONS

徐凯宇   

  1. Shanghai University: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • 收稿日期:1994-10-05 出版日期:1995-10-18 发布日期:1995-10-18

ANALYSIS OF STABILITY ON ELASTIC PLATES WITH INITIAL IMPERFECTIONS

Xu Kaiyu   

  1. Shanghai University: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • Received:1994-10-05 Online:1995-10-18 Published:1995-10-18

摘要: On the basis of Marguerre equations,the influence on a bifurcation diagram of am elatic plate affected by initial deflection imperfection and transverse loading is studied with the help of the singularity theory.Thes paper applies universal unfoldingprinciples,it is put forward that the unstable analysis of thes problem can transform into the study of a triple algebraic equation in the neighborhood of a simple eigenvalue.Thus the bifurcated states are decided,and the bifurcation diagrams are drawn up following distinct paramentrs. Then the quantitative series of interfering with eigenvalues are discussed.

Abstract: On the basis of Marguerre equations,the influence on a bifurcation diagram of am elatic plate affected by initial deflection imperfection and transverse loading is studied with the help of the singularity theory.Thes paper applies universal unfoldingprinciples,it is put forward that the unstable analysis of thes problem can transform into the study of a triple algebraic equation in the neighborhood of a simple eigenvalue.Thus the bifurcated states are decided,and the bifurcation diagrams are drawn up following distinct paramentrs. Then the quantitative series of interfering with eigenvalues are discussed.