Abstract
In this paper, the problem of second buckling of the spherical shallow shell is calculated by use of the method of progressing step by step and integrating. The result is more exact than that of first approximate analysis for over-critical deformation of spherical shallow shell. It has been solved that the solution of second approximate analysis in this problem can't be found. The calculating example in this paper shows that the solution of progressing step by step and integrating converges to second approximate solution.
Similar content being viewed by others
References
Yang Yao-qian,The Theory of Thin Shells, Railroad Publishing House (1981), 266–272. (in Chinese)
Chien Wei-zang, Large deflection of a circular clamped plate under uniform pressure,Chinese Physical Journal,7, 2 (1947).
Wolimir, A.C.Soft Plates and Shells, § 4. 7 (1956). (in Russian)
Oden, J.T.,Finite Elements of Nonlinear Continua, Japan Pei Feng House (1980), 79.
Author information
Authors and Affiliations
Additional information
Communicated by Fan Ta-chung
Rights and permissions
About this article
Cite this article
Nai-wen, J. Progressing step by step and integrating calculation of overcritical deformation of spherical shallow shells. Appl Math Mech 8, 155–166 (1987). https://doi.org/10.1007/BF02019088
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02019088