Nonlinear Stability of Thin Elastic Circular Shallow Spherical Shell under the Action of Uniform Edge Moment

Yeh Kai-yuan; Liu Zen-huai; Chang Chuan-dzi; Shue Ih-fan

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Article Navigation > Applied Mathematics and Mechanics > 1980 > 1(1): 71-87

Yeh Kai-yuan, Liu Zen-huai, Chang Chuan-dzi, Shue Ih-fan. Nonlinear Stability of Thin Elastic Circular Shallow Spherical Shell under the Action of Uniform Edge Moment[J]. Applied Mathematics and Mechanics, 1980, 1(1): 71-87.

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Nonlinear Stability of Thin Elastic Circular Shallow Spherical Shell under the Action of Uniform Edge Moment

Lanchow University

Received Date: 1978-11-01
Publish Date: 1980-02-15

Abstract

Abstract

In 1939. the importance of the nonlinear feature in the shell buckling problem was first pointed out in a most spectacular manner by von Karman and Tsien,but the mathematical difficulty is so great that progress has been slow after the first attempts.According to our experience, we should face the difficult barrier of solving nonlinear differential equations and an effective, simple, accurate method is required.On the other hand, modern rapid developements in technics, such as aeronautical, naval, structure, precise instrument manufacturing and automatic control engineerings require keenly these problems to have accurate, reliable theory results for direct design use, With such background, we suggest the modified iteration method and have worked out four cases for the purpose of certaining it, This is the one, in which nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment are considered.As a special case, w e also investigate large deflection of circular plate under the same load.

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References(16)

References

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