He Lu-wu, Cheng Chang-jun. A Method of Determining Buckled States of Thin Plates at a Double Eigenvalue[J]. Applied Mathematics and Mechanics, 1992, 13(4): 307-311.
Citation: He Lu-wu, Cheng Chang-jun. A Method of Determining Buckled States of Thin Plates at a Double Eigenvalue[J]. Applied Mathematics and Mechanics, 1992, 13(4): 307-311.

A Method of Determining Buckled States of Thin Plates at a Double Eigenvalue

  • Received Date: 1991-06-17
  • Publish Date: 1992-04-15
  • A method of determining bifurcation directions at a double eigenvalue is presented by combining the finite element method with the perturbation method. By using the present method, the buckled states of rectangular plates at a double eigenvalue are numerically analyzed. The results show that this method is effective.
  • loading
  • [1]
    张建武、范祖尧,简支矩形板后屈曲平衡路径h}J一个摄动解,上海交通大学学报,18(5)(1989),101-111.
    [2]
    Bauer,L.and F.L.Reiss,Non-linear buckling of rectangular plates,SIAMJ.Appl.Math.,13(3)(1965),603-626.
    [3]
    吕小安,开孔柱壳的非线性理论与稳定性问题,兰州大学博士学位论文(1990).
    [4]
    何录武,夹层板的屈曲和分支,兰州大学博士学位论文(1990).
    [5]
    何录武、程昌钧,矩形薄板的屈曲状态,应用数学和力学,13( 5)(1992).
    [6]
    朱正佑、程昌钧,分支问题的数值计算方法,,兰州大学出版社(7989).
    [7]
    Ke11er,H.B.,N u merical solution of bifurcation and nonlinear eigenvalue problems,Application of Bi furcation Theory,Fd.P.H.Rabinowitz,Academ is Press,Inc.(1977).
    [8]
    程昌钧、朱正佑,结构的屈曲和分叉.,兰州大学出版社(1991.).
    [9]
    Yang Xiao and Cheng Chang-jun,Variational principles on perforated thin plates and finite element method on buck]ing and post-buckling,Acta Mechanics Sinica,7(2)(199l),1-l0.
    [10]
    Kearfott,R.B.,On a genersl technique for finding directions proceeding from bifurcation points,Numerical Methods for Bifurcation Problems,Ed.T.Kupper,H.D.Mittelman a.nd H.Weber,ISNM 70,Birkhauser,Verlag(1984).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2364) PDF downloads(545) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return