An iteration method for integral equations arising from axisymmetric loading problems |
| |
| Authors: | Yun Tian-quan |
| |
| Affiliation: | Department of Mechanics, Huazhong Institute of Technology, Wuhan |
| |
| Abstract: | ![]()
Let the concentrated forces and the centers of pressure with unknown density functions x ( ) and y () respectively be distributed along the axis z outside the solid, then one can reduce an axismmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is duscussed. A lemma equivalent to E. Rakotch's contractive mapping theorem and a theorem concerning the convergent proof of the iteration method are presented. |
| |
| Keywords: | nonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation |
| 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 |
