Modal analysis of periodically time-varying linear rotor systems

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General rotor systems possess both stationary and rotating asymmetric properties, whose equation of motion is characterized by the presence of periodically time-varying parameters with the period of half the rotation. This paper takes two different approaches to develop the complex modal analysis method for periodically time-varying linear rotor systems: one approach by employing Floquet theory and another by coordinate transformation. The first approach, based on decomposition of state transition matrix, leads to the periodically time-varying eigensolutions, whereas the second approach transforms the finite order time-varying matrix equation into an equivalent infinite order time-invariant linear equation by introducing modulated coordinates, leading to an infinite set of constant eigensolutions. The relations between the eigensolutions obtained by two different approaches are derived and their features are compared. (c) 2007 Elsevier Ltd. All rights reserved.
Publisher
ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD
Issue Date
2007-06
Language
English
Article Type
Article
Citation

JOURNAL OF SOUND AND VIBRATION, v.303, no.3-5, pp.553 - 574

ISSN
0022-460X
DOI
10.1016/j.jsv.2007.01.041
URI
http://hdl.handle.net/10203/92192
Appears in Collection
ME-Journal Papers(저널논문)
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