Liang Li-ping. A Series Boundary Integration Method for the Bending Analysis of Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1990, 11(8): 897-704.
Citation: Liang Li-ping. A Series Boundary Integration Method for the Bending Analysis of Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1990, 11(8): 897-704.

A Series Boundary Integration Method for the Bending Analysis of Anisotropic Plates

  • Received Date: 1989-06-30
  • Publish Date: 1990-08-15
  • A series boundary integration method is given which exactly satisfies the fundamental equation of bending analysis of general anisotropic plates or laminated plates in Kirchhoffs sense. With a unified deflection series, the method may be applied to the plates having different planforms and support conditions. Several groups of representative examples are calculated. The examples include circular, square and triangular plates, and their boundaries include clamped edges, simply supported edges, free edges and free corner. Numerical results indicate rapid convergency for both deflection and stress resultants and demonstrate wide applicability of the method.
  • loading
  • [1]
    Ashton,J.E.,Anisotropic plate analysis-boundary conditions,J.Comp.Mater.,4,2(1970),162.
    [2]
    Whitney,J.M.,Analysis of anisotropic rectangular plates,AIAA J.,10,10(1972),1344.
    [3]
    Whitney,J.M.,Fourier analysis of clamped anisotropic plates,J.Appl.Mech.,38,2(1971),530.
    [4]
    Wang,J.T.,On the solution of plates of composite materials,J.Comp.Mater.,3,3(1969),590.
    [5]
    Liang Li-ping,A bending analysis of laminated plates under various boundary conditions,Proc.Inter.Symp.Comp.Mater.Struct.,Beijing(1986);Ed.T.T.Loo and C.T.Sun,Technomic Publ.Co.,Inc.(1986).
    [6]
    梁礼平,角铺设层板弯曲问题的一种半解析法,复合材料学报,4,1(1987),73.
    [7]
    Wu,B.C.,and N.J.Altiero,A new numerical method for the analysis of anisotropic thin-plate bending problems,Comp Meth.Appl.Mech.Engng.,25(1981),343.
    [8]
    列赫尼茨基,С.Г.,《各向异性板》,胡海昌译,科学出版社(1963).
    [9]
    梁礼平,二维各向异性间题的齐次解完备系及有关问题,第三届全国权残法会议论文,峨嵋(1989).
    [10]
    Ashton,J.E.,An analogy for certain anisotropic plates,J.Comp.Mater.,3,2(1969),355.
  • 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 (1762) PDF downloads(611) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return