Torsion of elastic shaft of revolution embedded in an elastic half space |
| |
| Authors: | Yun Tian-quan |
| |
| Affiliation: | Department of Engineering Mechanics, South China University of Technology, Guangzhou |
| |
| Abstract: | The problem of torsion of elastic shaft of revolution embedded in an elastic half space is studied by the Line-Loaded Integral Equation Method (LLIEM). The problem is reduced to a pair of one-dimensional Fredholm integral equations of the first kind due to the distributions of the fictitious loads  Point Ring Couple (PRC) and Point Ring Couple in Half Space (PRCHS) on the axis of symmetry in the interior and external ranges of the shaft occupied respectively. The direct discrete solution of this integral equations may be unstable, i.e. an ill-posed case occurs. In this paper, such an ill-posed Fredholm integral equation of first kind is replaced by a Fredholm integral equation of the second kind with small parameter, which provides a stable solution. This method is simpler and easier to carry out on a computer than the Tikhonov's regularization method for ill-posed problems. Numerical examples for conical, cylindrical, conical-cylindrical, and parabolic shafts are given.The Project Supported by the National Natural Science Foundation of China |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
|
