Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (8): 795-800.

• 论文 • 上一篇    

ON THE LIMIT CASE OF THE STEP-REDUCTION METHOD FOR CALCULATING NON-UNIFORM BEAM WITH VARIOUS SECTIONS

伍炯宇   

  1. Mathematics Department, Sichuan University
  • 收稿日期:1986-06-03 出版日期:1990-08-18 发布日期:1990-08-18

ON THE LIMIT CASE OF THE STEP-REDUCTION METHOD FOR CALCULATING NON-UNIFORM BEAM WITH VARIOUS SECTIONS

Wu Jiong-yu   

  1. Mathematics Department, Sichuan University
  • Received:1986-06-03 Online:1990-08-18 Published:1990-08-18

PDF

458

摘要： In this paper, the step reduction method is discussed, which was advanced by Prof, Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity. However, the measure of the error between the limit solution and the ture solution is not认the pure mathematics sense but in the mechanics sense.

Abstract: In this paper, the step reduction method is discussed, which was advanced by Prof, Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity. However, the measure of the error between the limit solution and the ture solution is not认the pure mathematics sense but in the mechanics sense.

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