Investigation of Natural Oscillations in Longitudinally Reinforced Cylindrical Shells Containing an Elastic Filler

Abstract

 In this study, the vibration behavior of a thin, long cylindrical shell reinforced in the longitudinal direction and containing an elastic filler was analyzed using the variational approach. The investigation considered axial reinforcement as well as the effect of friction arising at the contact interface between the shell and the filler. The dependence of the natural vibration period on the formation of circumferential wave modes was determined while accounting for the frictional interaction between the shell structure and the elastic core. The obtained results indicate that the vibration characteristics are practically independent of the material parameters, since the relationship between the vibration frequency and Poisson’s ratio does not depend on the value of the elastic modulus.