Geometry Effects on the Nonlinear Oscillations of Viscoelastic Cylindrical Shells

Abstract

Abstract. In this work the influence of geometry, load and material properties on the nonlinear vibrations of a simply supported viscoelastic circular cylindrical shell subjected to lateral harmonic load is studied. Donnell's non-linear shallow shell theory is used to model the shell, assumed to be made of a Kelvin-Voigt material type, and a modal solution with six degrees of freedom is used to describe the lateral displacements. The Galerkin method is applied to derive a set of coupled non-linear ordinary differential equations of motion.Obtained results show that the viscoelastic dissipation parameter has significant influence on the instability loads and resonance curves.