A Note on Critical-Speed Solutions for Finite-Element-Based Rotor Models Academic Article uri icon


  • An ordering scheme is introduced for the deflection variables in finite-element-based rotordynamics models which permits a direct numerical solution approach via symmetric matrix procedures for rotor critical speeds, provided the system stiffness matrix is symmetric. Previously published reports on finite-element formulations employ general Q-R algorithms operating on state-variable forms of the governing equations to obtain rotor natural frequencies at a specified running speed, with critical speeds determined from many such calculations.

author list (cited authors)

  • Childs, D. W., & Graviss, K.

citation count

  • 16

publication date

  • April 1982