Enhanced Campbell Diagram With the Concept of H-infinity in Rotating Machinery: Lee Diagram

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The Campbell diagram, a frequency-speed diagram, has been widely used for prediction of possible occurrence of resonances in the phase of design and operation of rotating machinery since its advent in 1920s. In this paper, a set of new frequency-speed diagrams, which is referred to as the Lee diagram, is newly proposed, where the conventional Campbell diagram is incorporated with the concept of the infinity norm of directional frequency response matrix (dFRM) associated with a rotor with rotating and stationary asymmetry in general. The dFRM is constructed based on complete modal analysis of a linear periodically time-varying rotor model formulated in the complex coordinates. It is shown that the Lee diagram is powerful in that it can identify the modes of symmetry, rotating and stationary asymmetry, and extract only a few critical resonances out of the, otherwise, overcrowded ones without a measure of priority as in the Campbell diagram. In order to demonstrate the power of the Lee diagram in design and operation of rotating machines, three examples are treated: a typical anisotropic rigid rotor, a simple general rotor, and a two-pole generator.
Publisher
ASME-AMER SOC MECHANICAL ENG
Issue Date
2010-03
Language
English
Article Type
Article
Keywords

MODAL TESTING THEORY; ROTOR SYSTEMS

Citation

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, v.77, no.2

ISSN
0021-8936
DOI
10.1115/1.3173610
URI
http://hdl.handle.net/10203/96785
Appears in Collection
ME-Journal Papers(저널논문)
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