Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (12): 1181-1190.

• 论文 • 上一篇    下一篇

A DIRECT METHOD FOR DERIVING FUNDAMENTAL SOLUTION OF HALF-PLANE PROBLEM

黄玉盈1, 尹雷芳2   

  1. 1. Huazhong University of Science and Technology, Wuhan;
    2. Luoyang Institute of Technology, Luoyang
  • 收稿日期:1984-06-02 出版日期:1987-12-18 发布日期:1987-12-18

A DIRECT METHOD FOR DERIVING FUNDAMENTAL SOLUTION OF HALF-PLANE PROBLEM

Huang Yu-ying1, Yin Lei-fang2   

  1. 1. Huazhong University of Science and Technology, Wuhan;
    2. Luoyang Institute of Technology, Luoyang
  • Received:1984-06-02 Online:1987-12-18 Published:1987-12-18

PDF

862

摘要： A fundamental solution for half-plane problems which will play a key role in calculation of the stress concentration around a hole embedded in half-plane is derived by a method combining images with direct integrations. It is wore intuitive than the Fourier transform method used by Gladwell[6]. In addition, the principle and procedure of boundary element method to solve the half-plane problems are also presented by means of Betti’s reciprocal theorem in this paper.It is shown that the. computing procedure for half-plane problems is much more convenient using the fundamental solution presented here than the one adopted by C.A.

关键词: elastic tank-liquid coupling system, bifurcation equation, singularity theory, sloshing control

Abstract: A fundamental solution for half-plane problems which will play a key role in calculation of the stress concentration around a hole embedded in half-plane is derived by a method combining images with direct integrations. It is wore intuitive than the Fourier transform method used by Gladwell[6]. In addition, the principle and procedure of boundary element method to solve the half-plane problems are also presented by means of Betti’s reciprocal theorem in this paper.It is shown that the. computing procedure for half-plane problems is much more convenient using the fundamental solution presented here than the one adopted by C.A.

Key words: elastic tank-liquid coupling system, bifurcation equation, singularity theory, sloshing control

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn