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

Abstract

Abstract: In this paper, nonlinear stability of thin elastic circular shallow spherical shell under the.action of uniform edge moment is considered by the modified iteration method to obtain second and third approximations to decide the upper and lower critical loads. Results are plotted in curves for the engineering use and are compared with results of Hu Hai-chang’s. We also investigate the neighbour situation of the critical point, i.e. the double points of the upper and lower critical loads and denote the range of validity of the second approximation. In the end, we obtain the special case, the design formulas of rigidity and stress as well as the corresponding curves as v=0.3 of large deflection of circular plate under the same load. These results are also compared with Huang Tse-yen’s.

Key words: Riemannian manifold, tangent bundle, cotangent bundle, fiber bundle, fiber, vector field, form field, exterior differential, absolute differential, Lie derivative, functional, variation

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. Applied Mathematics and Mechanics (English Edition), 1980, 1(1): 71-90.

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References

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