This paper concerns numerical computation of localised solutions in partial diier-ential equations (PDEs) on unbounded domains. The application is to the von KK armm an{Donnell equations, a coupled system of elliptic equations describing the equilibrium of an axially compressed cylindrical shell. Earlier work suggests that axially-localised solutions are the physically prefered buckling modes. ...

Nowadays, due to high ratio of strength to weight, composite cylindrical shells are extensively used in a great variety of different industrial applications and under different cases of loads. In this study, the buckling of composite cylindrical shells was examined under uniform external pressure. The buckling analysis of composite cylindrical shells was first done by using theoretical relation...

Using Donnell-type shell theory a simple and exact procedure is presented for linear buckling analysis of functionally graded conical shells under axial compressive loads and external pressure. The solution is in the form of a power series in terms of a particularly convenient coordinate system. By analyzing the buckling of a series of conical shells, under various boundary conditions and diffe...

Abstract Composite cylindrical shells, as key components, are widely employed in large rotating machines. However, due to the frequency bifurcations and dense spectra caused by rotation, nonlinear vibration usually has behavior of complex multiple internal resonances. In addition, varying temperature fields make responses system further difficult obtain. Therefore, resonances composite shells w...