ANALYSIS OF STABILITY ON ELASTIC PLATES WITH INITIAL IMPERFECTIONS

ＡＮＡＬＹＳＩＳＯＦＳＴＡＢＩＬＩＴＹＯＮＥＬＡＳＴＩＣＰＬＡＴＥＳＷＩＴＨＩＮＩＴＩＡＬＩＭＰＥＲＦＥＣＴＩＯＮＳＸｕＫａｉｙｕ（徐凯宇）（ＲｅｃｅｉｔｅｄＯｃｔ．５，１９９４．ＣｏｍｍｕｎｉｃａｔｅｄＰａｉＬｉｚｈｏｕ）ＡＮＡＬＹＳＩＳＯＦＳＴＡ...

ANALYSIS OF STABILITY ON ELASTIC PLATESWITH INITIAL IMPERFECTIONS

On the basis of Marguerre equations ,the influence on a bifurcation diagram of an elastic plate affected by initial deflection imperfection and transverse loading is studiedwith the help of the singularity theory This paper applies universal unfolding principles,it is put forward that the unstable analysis of this problem can transforminto the study of a triple algebraic equation in the neighborhood of a simple eigenvalue .Thus the bifurcated stated are decided,and the bifurcation diagrams aredrawn up following distinct parameters.Then the quantitative seriesof interfering witheigenvalues are discussed.