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A Continuous Analog Model for Grouped-Blade Vibration

✍ Scribed by L.F. Wagner; J.H. Griffin

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 653 KB
Volume: 165
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1993.1268

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✦ Synopsis

A continuous analog model is considered in order to enhance the understanding of the vibratory response of grouped blades on a flexible disk. The analogy uses a series of transversely vibrating, continuous-string segments that are arranged in a rotationally periodic pattern, with coupling between the segments accomplished by discrete springs. Expressions are found for the eigenvalues and eigenfunctions of each cyclically symmetric segment, and the segment results are analytically extended to represent the entire structure. It is shown that the modes obtained from this model possess a harmonic character, and that orthogonality between the modes and harmonic excitation can be readily determined. Application of this model to a bladed-disk system with grouped blades shows that the results qualitatively conform to accepted knowledge of grouped-blade dynamics, while allowing a more coherent understanding of the phenomenon.

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