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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 101-110.

• 论文 •    下一篇

BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(Ⅱ)──THEORETICAL ANALYSIS

丁睿1, 朱正佑2, 程昌钧2   

  1. 1. Mechanical Postdoctoral Station, Southwestern Jiaotong University, Chengdu 610031, P.R.China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P.R.China
  • 收稿日期:1996-03-08 修回日期:1997-06-12 出版日期:1998-02-18 发布日期:1998-02-18
  • 基金资助:
    Project supported by the National Natural Science Fundation of China

BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(Ⅱ)──THEORETICAL ANALYSIS

Ding Rui1, Zhu Zhengyou2, Cheng Changjun2   

  1. 1. Mechanical Postdoctoral Station, Southwestern Jiaotong University, Chengdu 610031, P.R.China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P.R.China
  • Received:1996-03-08 Revised:1997-06-12 Online:1998-02-18 Published:1998-02-18
  • Supported by:
    Project supported by the National Natural Science Fundation of China

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摘要： 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].

关键词: dynamic response, viscoelasticity, approximate boundary elementmethod, error estimation

Abstract: 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].

Key words: dynamic response, viscoelasticity, approximate boundary elementmethod, error estimation

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