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Nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment (1980)

Kai-yuan, Yeh ; Zen-huai, Liu ; Chuan-dzi, Chang ; [weitere]

Springer

Applied mathematics and mechanics 1 (1980), S. 71-90

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Details

ISSN: 1573-2754

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau , Mathematik , Physik

Notizen: 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 ν=0.3 of large deflection of circular plate under the same load. These results are also compared with Huang Tse-yen's.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01872629

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