Free in-plane and out-of-plane vibrations of rotating thin ring based on the toroidal shell theory

I. SENJANOVIĆ, I. Ćatipović, N. Alujević, D. Čakmak & N. Vladimir
In this paper rigorous formulae for natural frequencies of in-plane and out-of-plane free vibrations of a rotating ring are derived. An in-plane vibration mode of the ring is characterised by coupled flexural and extensional deformations, whereas an out-of-plane mode is distinguished by coupled flexural and torsional deformations. The expressions for natural frequencies are derived from a generalised toroidal shell theory. For the in-plane vibrations, the ring is considered to be a short top segment of...

Registration Year

  • 2018

Resource Types

  • Data Paper


  • University of Zagreb