This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels non-uniform porous core functionally graded face sheets. The imperfect are subjected to axial loading on elastic foundation. Based Donnell shell theory, von Kármán geometrical nonlinearity, governing equations derived. effects foundation, various panel characteristics, porosity parameters, thickness in...

The existence of solutions is proved for the unilateral dynamic contact of a von Kármán-Donnell shell with a rigid obstacle. Both purely elastic material and a material with a singular memory are treated.

Cylindrical shells exhibit a dense frequency spectrum, especially in the lowest frequency range. In addition, due to the circumferential symmetry, frequencies occur in pairs. So, in the vicinity of the lowest natural frequencies, several equal or nearly equal frequencies may occur, leading to multiple internal resonances. The aim of the present work is to investigate the dynamic behavior and st...

The aim of this paper is to investigate the buckling behavior porous Functionally Graded Materiel (FGM) cylindrical shells based on Donnell shell theory. In context, we develop an explicit analytical expression which takes into consideration effect porosities through thickness structure and that elastic foundation using a modified power-law function models Winkler Pasternak, respectively. We us...

This study deals with the vibrational behavior of two joined cross-ply laminated conical shells. Natural frequencies and mode shapes are investigated. Joined conical shells can be considered as a general case for joined cylindrical-conical shells, joined cylinderplates or cone-plates, cylindrical and conical shells with stepped thicknesses and also annular plates. Governing equations are obtain...

We deal with an initial-boundary value problem describing the perpendicular vibrations of a viscoelastic Kármán-Donnell shell with a rigid inner obstacle. A weak formulation of a problem is in a form of a hyperbolic variational inequality. We solve this problem using the penalization method

The aim of this paper is to determine the critical buckling load for simply supported thin shallow spherical shells made of functionally graded material (FGM) subjected to uniform external pressure. A metal-ceramic functionally graded (FG) shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure me...

The aim of this study is to investigatethe effective parameters on vibrations of circular cylindrical shells with fixed rotary speed andresting elastic foundation by means of analytical and finite element numerical simulation. First, the governing equations are derived using the theory of Donnell, considering the centrifugal forces,Coriolis acceleration, and the initial annular tension. Then, t...