Divergence instability of a spinning disk with axial spindle displacement in contact with evenly spaced stationary springs

摘要

The titled problem is studied numerically by finite element calculation and analytically by three-mode eigenfunction expansion. It is found that divergence instability of the coupled system is induced only when two times the number of nodaldiameters 2n is equal to a multiple of the number of stationary springs N, but n itself is not a multiple of N.