✦ LIBER ✦

STABILITY ANALYSIS FOR THE DYNAMIC DESIGN OF ROTORS

✍ Scribed by N. Khader

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 360 KB
Volume: 207
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.1104

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✦ Synopsis

The dynamic behaviour of a cantilever flexible shaft, carrying a rigid disk at its free end is presented. The stability of the rotating shaft-disk system, subjected to periodic follower axial force and end moment is investigated. Due to the periodic nature of the external loads, the governing equations of motion contain periodic coefficients, which cannot be solved by the available classical eigenvalue routines. Floquet theory is used along with the Runge-Kutta method with Gill coefficients to calculate the transition matrix, whose eigenvalues provide the desired information about system stability. The effect of various system parameters on the calculated stability boundaries is examined. Such examination includes rotor speed, damping available in the system and associated with both translation and tilting of the shaft cross-sections, torque to damping ratio, and axial force to end torque ratio.

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