Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 207-214.

• 论文 • 上一篇    下一篇

THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION Φ OF THE TWO-DIMENSIONAL PROBLEM

赵兴华   

  1. Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • 收稿日期:1989-03-13 出版日期:1990-03-18 发布日期:1990-03-18

THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION Φ OF THE TWO-DIMENSIONAL PROBLEM

Zhao Xing-hua   

  1. Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1989-03-13 Online:1990-03-18 Published:1990-03-18

摘要: In this paper, it is pointed that the general expression for the stress function of the plane problem in polar coordinates is incomplete. The problems of the curved bar with an arbitrary distributive load at the boundries can’t he solved by this stress function. For this reason, we suggest two new stress functions and put them into the general expression. Then, the problems of the curved bar applied with an arbitrary distributive load at r=a,b boundaries can be solved. This is a new stress function including geometric boundary constants.

关键词: sandwich structure, multi-objective optimization, lightweight, radar absorbing, failure mode

Abstract: In this paper, it is pointed that the general expression for the stress function of the plane problem in polar coordinates is incomplete. The problems of the curved bar with an arbitrary distributive load at the boundries can’t he solved by this stress function. For this reason, we suggest two new stress functions and put them into the general expression. Then, the problems of the curved bar applied with an arbitrary distributive load at r=a,b boundaries can be solved. This is a new stress function including geometric boundary constants.

Key words: sandwich structure, multi-objective optimization, lightweight, radar absorbing, failure mode

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