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Dynamic response of spinning blades subjected to gyroscopic motion

Journal Article · · Journal of Vibration, Acoustics, Stress, and Reliability in Design; (United States)
DOI:https://doi.org/10.1115/1.2930399· OSTI ID:5162813
;  [1]
  1. National Tiawan Inst. of Tech., Taipei (Taiwan, Province of China). Dept. of Mechanical Engineering

This paper presents an investigation into the vibration and stability of a blade spinning with respect to a nonfixed axis. Due to the motion of the spin axis, parametric instability of the blade may occur in certain situations. In this work, the discretized equations of motion are first formulated by the finite element technique. Then the system equations are transformed, by a special modal analysis procedure, into independent sets of first-order simultaneous differential equations. Each set of differential equations is solved analytically by the method of multiple scales if the precessional speed of the spin axis is assumed to be small compared to the spin rate of the blade, yielding the system response and the expressions for the boundaries of the unstable regions. Finally, the effects of system parameters on the changes in these boundaries are studied numerically.

OSTI ID:
5162813
Journal Information:
Journal of Vibration, Acoustics, Stress, and Reliability in Design; (United States), Journal Name: Journal of Vibration, Acoustics, Stress, and Reliability in Design; (United States) Vol. 116:1; ISSN JVADDM; ISSN 0739-3717
Country of Publication:
United States
Language:
English

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