The Forced Response of Shrouded Fan Stages

[+] Author and Article Information
C.-H. Menq, J. H. Griffin, J. Bielak

Carnegie Institute of Technology, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Vib., Acoust., Stress, and Reliab 108(1), 50-55 (Jan 01, 1986) (6 pages) doi:10.1115/1.3269303 History: Received June 03, 1985; Online November 23, 2009


This paper presents a general approach for modeling shrouded blade vibration that takes into consideration the nonlinear friction constraint at the shroud interface. In this approach, linear structures are characterized by receptances and shroud constraints by nonlinear impedances. The proposed methodology is presented in detail for simplified models of the bladed disk and shroud interface. The corresponding governing equations for the dynamic response are derived for both tuned and mistuned stages. As an example the method is applied to an idealized tuned stage. Two cases are considered, a lubricated shroud for which the coefficient of friction is equal to zero, and a frictionally constrained shroud. The effect of varying the shroud-to-shroud preload is studied. In the lubricated case nonlinear behavior is seen when vibrations are strong enough to result in separation of the shroud interfaces. In the case of finite friction there is a profound change in resonant frequencies when the preload is increased sufficiently to prevent gross slip at the shrouds.

Copyright © 1986 by ASME
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