Chen, J.-S.J.-S.ChenWong, C.-C.C.-C.WongJEN-SAN CHEN2020-01-132020-01-13199500218936https://scholars.lib.ntu.edu.tw/handle/123456789/447577The 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 nodal diameters 2n is equal to a multiple of the number of stationary springs N, but n itself is not a multiple of N. © 1995 by ASME.Calculations; Dynamics; Eigenvalues and eigenfunctions; Elasticity; Equations of motion; Finite element method; Numerical analysis; Springs (components); Stability; Stiffness matrix; Axial spindle displacement; Divergence instability; Elastic transverse displacement; Disks (machine components)note10.1115/1.28959692-s2.0-0029325030https://www.scopus.com/inward/record.uri?eid=2-s2.0-0029325030&doi=10.1115%2f1.2895969&partnerID=40&md5=961205db0d443fbd2c9346dd0089fa49