In this paper, nonlinear vibrations of an infinite thin cylindrical shell as a limiting case nanotube are studied. The main relations Sanders-Koiter’s theory and the Hamilton variation principle applied to obtain mathematical model allow fully accounting for influence effects. Using method multiple scales with specification fast slow times, high-order asymptotic taking into account quadratic cu...

In this paper the vibration of a spinning cylindrical shell made of functional graded material is investigated. After a brief introduction of FG materials, by employing higher order theory for shell deformation, constitutive relationships are derived. Next, governing differential equation of spinning cylindrical shell is obtained through utilizing energy method and Hamilton’s principle. Making ...

Based on 3-D elasticity approach, differential quadrature method (DQM) in axial direction is adopted along with Globalized Nelder–Mead (GNM) algorithm to optimize the stacking sequence of a laminated cylindrical shell. The anisotropic cylindrical shell has finite length with simply supported boundary conditions. The elasticity approach, combining the state space method and DQM is used to obtain...

AWE has had an active laser experimental program studying the physics of compressible turbulent mix for many years. Here we report on progress using the HELEN and OMEGA laser facilities. Recent work on HELEN has centred around obtaining well characterised data on shock-induced mixing at a foam-foam interface of varying roughness. A thin, opaque tracer layer is used as a radiographic diagnostic ...