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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.

First integrals of evolution systems and nonlinear stability of stationary solutions for the ideal atmospheric, oceanic, hydrodynamical and plasma models

Gordin V.

Journal of Technical Physics

1998

Vol. 39, no 2

213-219

First integrals of the systems of nonlinear equations governing the behaviour of atmospheric, oceanic and MHD plasma models are determined. The Lyapunov stability conditions for the solutions under small initial disturbances are analyzed. \