Abstract
This paper gives the resultant forces and moments, strain energy and work of external forces on the basis of the deformation theory of flexible body. Therefore, in accordance with the principle of virtual displacement, the energy criterion of critical load is obtained and the equilibrium equation and boundary conditions of stability problem are derived.
Similar content being viewed by others
References
V. V. Novozhilov,Foundations of the Nonlinear Theory of Elasticity, Graylock Press, Rechester, N. Y. (1953).
V. V. Novozhilov,Theory of Thin Shell, Science Press, Beijing, China (1963). (Chinese version)
S. P. Timoshenko,Theory of Elastic Stability, McGraw-Hill (1961).
Huang Kezhi,Theory of Plates and Shells, Qinghua University Press, Beijing (1987). (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Chien Weizang
Rights and permissions
About this article
Cite this article
Yan, H., Reifang, H. The variational principle of thin shell in stability. Appl Math Mech 16, 1161–1169 (1995). https://doi.org/10.1007/BF02466986
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02466986