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On nonlinear stability of shallow conical sandwich shells

Liu R. H., Li J.

Applied Mechanics and Engineering

2000

Vol. 5, no 2

367-387

In this paper, a theory for nonlinear bending of shallow conical sandwich shells is established by means of the method of calculus of variations. Using the modified iteration method which was suggested by Yeh et al. (1965a, 1965b), analytic solutions of nonlinear stability for the shells with four types of boundary conditions under uniform pressure are obtained. The numerical discussions based on the analytic solutions have been given in detail, which indicate that our method is efficient for the analysis of shallow shells.