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Nonlinear stability of symmetrically laminated cylindrically orthotropic truncated shallow conical shells including trunsverse shear

Liu R. H., Wei S.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 3

769-790

In the present paper, based on the modified iteration method, the nonlinear stability problem of a symmetrically laminated cylindrically orthotropic truncated shallow conical shell with a non-deformable rigid body at the center under uniform pressure including transverse shear is investigated. The analytical formula of the critical buckling load is obtained. Results of this paper can be applied directly to engineering design.

Nonlinear stability of corrugated shallow spherical shell

Liu R. H., Wang F.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 2

295-309

In this paper, a nonlinear bending theory for a corrugated shallow spherical shell is constructed. By means of this theory and the modified iteration method, the analytical solution of the critical buckling pressure for a corrugated shallow spherical shell with a rigidly clamped edge under the action of uniform pressure is obtained.

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.