Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1404-1409.

• 论文 • 上一篇    下一篇

WEIGHTED SOLUTION OF SMALL-DEFLECTION BUCKLING EQUATION OF THIN SHELL

王宗利, 王熙, 郝文华   

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, P. R. China
  • 收稿日期:1999-05-17 修回日期:1999-11-23 出版日期:2001-12-18 发布日期:2001-12-18
  • 基金资助:
    the National Natural Science Foundation of China(G19972041)

WEIGHTED SOLUTION OF SMALL-DEFLECTION BUCKLING EQUATION OF THIN SHELL

WANG Zong-li, WANG Xi, HAO Wen-hua   

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, P. R. China
  • Received:1999-05-17 Revised:1999-11-23 Online:2001-12-18 Published:2001-12-18
  • Supported by:
    the National Natural Science Foundation of China(G19972041)

摘要: Based on small-deflection buckling equation, a weighted solution for critical load is presented. Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions. Axisymmetric problem was studied as an example. Influencing factors were found from the equation and averaged as the buckling load by introducing weights. To determine those weights, some special known results were applied. This method solves general complicated problems by using the solutions of special simple problems, simplifies the solving procedure and expands the scope of solvable problem. Compared with numerical solution, it also has fine precision.

Abstract: Based on small-deflection buckling equation, a weighted solution for critical load is presented. Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions. Axisymmetric problem was studied as an example. Influencing factors were found from the equation and averaged as the buckling load by introducing weights. To determine those weights, some special known results were applied. This method solves general complicated problems by using the solutions of special simple problems, simplifies the solving procedure and expands the scope of solvable problem. Compared with numerical solution, it also has fine precision.

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