Coriolis Effect on elastic waves propagating in rods

Abstract

Vibration analysis of rods that are subjected to rotation is presented. It is shown that flexural-flexural, longitudinal-flexural and torsional-flexural wave coupling occur due to the Coriolis Effect. First, we carried out our analysis for thin rods where the wavelength is much larger than the radius. It is shown that the wavenumbers change due to the Coriolis Effect. Then, we characterize the 3-D wave propagation in rotating rods by using the Finite Element Method (FEM) in order to determine the corresponding wavenumber shifts for each type of wave. We show that for different drive frequency (ω0) and rotation rate (Ω), wave couplings exhibit different characteristics. For flexural-flexural wave coupling, the wavenumber increases for the primary flexural wave whereas the wave number decreases for the coupled flexural wave where Ω < ω0. For the Coriolis coupling between flexural-longitudinal waves, the wavenumber increases for the flexural wave and decreases for the longitudinal wave where Ω < ω0. For the Coriolis coupling between flexural-torsional waves, the wavenumber increases for both flexural and torsional waves.