Nonlinear Analysis of Buckling & Postbuckling

Buckling and Postbuckling Analysis of Shells under Quasi-static and Dynamic Loads

With dynamic loading like landing impact a distinction should be made between relatively short and long, quasistatic loading durations, and loadings the durations of which are in the order of the longest lateral period (lowest eigenfrequency) of the structure. A particular problem is to be expected under the later loadings where the interaction of loading dynamics with the dynamics of the buckl...

Nonlinear Euler buckling

The buckling of hyperelastic incompressible cylindrical shells of arbitrary length and thickness under axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are obtained using the Stroh formalism and the exact solution of Wilkes [Q. J. Mech. Appl. Math. 8:88–100, 1955] for the linearized problem. The main focus of this paper is t...

BEM of postbuckling analysis of thin plates

A new fundamental solution of deflection for plate buckling problems is first derived through the separation of in-plane stresses into an essential part and a disturbed part and by use of the resolution theorem of differential operator. A set of new boundary element formulas for the analysis of postbuckling problems of elastic plates are presented. On the basis of these formulas, in-plane and o...

Nonlinear Stochastic Dynamical Post-buckling Analysis of Uncertain Cylindrical Shells

This paper presents the nonlinear dynamical post-buckling analysis of an uncertain cylindrical shell. The proposed approach is adapted to the dynamical analysis of geometrically nonlinear structures subjected to a stochastic ground-based motion in the presence of both system parameter uncertainties and model uncertainties. The structure is modeled by a large finite element model using 3D elasti...

Buckling and Postbuckling Behavior of Laminated Composite Plates With a Cutout