Weighted Solution of Small-Deflection Buckling Equation of Thin Shell

WANG Zong-li; WANG Xi; HAO Wen-hua

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(12): 1262-1266

WANG Zong-li, WANG Xi, HAO Wen-hua. Weighted Solution of Small-Deflection Buckling Equation of Thin Shell[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1262-1266.

Citation:

WANG Zong-li, WANG Xi, HAO Wen-hua. Weighted Solution of Small-Deflection Buckling Equation of Thin Shell[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1262-1266.

Citation:

WANG Zong-li, WANG Xi, HAO Wen-hua. Weighted Solution of Small-Deflection Buckling Equation of Thin Shell[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1262-1266.

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Weighted Solution of Small-Deflection Buckling Equation of Thin Shell

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, P. R. China

Received Date: 1999-05-17
Rev Recd Date: 1999-11-23
Publish Date: 2001-12-15

Abstract

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.
- shell,
- buckling,
- critical load,
- weighted average

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References(10)

References

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