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RESEARCH PAPERS: Rotor Dynamics Papers

A Note on Critical-Speed Solutions for Finite-Element-Based Rotor Models

[+] Author and Article Information
D. W. Childs

Mechanical Engineering Department, Texas A&M University, College Station, Texas 77843

K. Graviss

Celanese Fibers, Louisville, Ky.

J. Mech. Des 104(2), 412-415 (Apr 01, 1982) (4 pages) doi:10.1115/1.3256359 History: Received June 10, 1981; Online November 17, 2009

Abstract

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, providing 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.

Copyright © 1982 by ASME
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