Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells

Cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction are investigated. The material of the shell is assumed to be homogeneous, isotropic, compressible and hypere lastic. The stability of the finitely deformed state and small, free, radia l vibrations about this state are investigated using the theory of small de formations superposed on large elastic deformations. The governing equation s are solved numerically using both the multiple shooting method and the fi nite element method. For the finite element method the commercial program A BAQUS is used.(1) The loss of stability occurs when the motions cease to be periodic. The effects of several geometric and material properties on the stress and the deformation fields are investigated. (C) 1998 Elsevier Scien ce Ltd. AII rights reserved.