Chen Shan-lin. Determination of the Perturbation Parameter in Larger Deflection of Plates and Shallow Shells by Means of the Least Squares Method[J]. Applied Mathematics and Mechanics, 1986, 7(7): 589-596.
Citation: Chen Shan-lin. Determination of the Perturbation Parameter in Larger Deflection of Plates and Shallow Shells by Means of the Least Squares Method[J]. Applied Mathematics and Mechanics, 1986, 7(7): 589-596.

Determination of the Perturbation Parameter in Larger Deflection of Plates and Shallow Shells by Means of the Least Squares Method

  • Received Date: 1984-10-05
  • Publish Date: 1986-07-15
  • In this paper, the least square method of determination of the perturbation parameter is presented when the perturbation technique is used in the solution of large deflection of axisymmetrical plates and shallow shells. The examples of circular plates are calculated and compared with the exact solution and other perturbation solutions. The results show the best agreement with the exact solution among those perturbation solutions.
  • loading
  • [1]
    Vincent,J,J,,Phil,Mag,,12(1931),185-196.
    [2]
    Chien Wei-zang,Chinese Journal of Physics,7(1947),102-113.
    [3]
    Schmidt,R.and D,A,DaDeppo.,Int,J.o f Nott-Linear Mech.,9,5(1974),407-419.
    [4]
    周焕文,应用数学和力学,2,5(1981)475-484.
    [5]
    陈山林、光积昌,应用数学和力学,2,1(1981),131-144.
    [6]
    Феодосъев В.И.,《精密仪器弹性元件的理论与计算》,科学出版社,北京(1963).
    [7]
    陈山林,应用数学和力学,1,2(1980),261-272.
    [8]
    胡海昌,物理学报,10.4(1954),383-393.
    [9]
    陈山林,应用数学和力学,3,4(1982)513-518.
    [10]
    徐次达,力学与实践,2,4(1980),12-20.
    [11]
    邹定祺、陈山林、王琅瑜,重庆建筑工程学院学报,3(1985).
    [12]
    Way.S,,ASME Trans,,Appl,Mech,,56(1934),627-636.
  • 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 (1874) PDF downloads(496) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return