Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
Citation: Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.

Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis

  • Received Date: 1996-03-08
  • Rev Recd Date: 1997-06-12
  • Publish Date: 1998-02-15
  • In this paper,the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in [1] is.discussed.The theorem of existence and uniqueness of the approximate solution andthe error estimation are also obtained.Based on these conclusions,the principle for choosing the mesh size and the number of truncated terms in the fundamental solution are given.It isshown that the theoretical ana analysis in this paper are consistent with thenumerical results in [1].
  • loading
  • [1]
    丁睿、朱正佑、程昌钧,粘弹性薄板动力响应的边界元法(Ⅰ),应用数学和力学,18(3)(1997),211-216.
    [2]
    丁方允,三维Helmholtz方程Dirichlet问题的边界元法及其收敛性分析,兰州大学学报,31(3)(1995),30-38.
    [3]
    祝家麟,《椭圆边值问题的边界元分析》,科学出版社(1987).
    [4]
    K.Ruotsalainen and W.Wendland,On the boundary element method for somenonlinear boundary value problem,Numer Math.53,1(1988),229-314.
    [5]
    R.Bellman.Numerical Inversion of the Laplace Transform,Amer.Elsevier.Publ.Co,(1966).624-635.
  • 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 (1947) PDF downloads(686) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return