The problem of vibration in bladed disc assemblies is discussed in terms of catastrophe theory and the ‘curve veering’ phenomenon. A region in the bifurcation diagram of a bladed disc where unstable vibration amplitudes could occur as a result of coupling and mistumng is identified.
Get full access to this article
View all access options for this article.
References
1.
ThomR.Structural stability and morphogenesis, 1972 (Benjamin, Reading, Mass.) (republished 1989 by Addison-Wesley).
ThompsonJ. M. T.HuntG. W.Elastic instability phenomena, 1984 (Wiley, New York).
6.
BerryM. V.Waves and Thorn's theorem. Adv. Phys., 1976, 25, 1–26.
7.
TwinsD. J.A study of resonance coincidence in bladed discs. J. Mech. Engng Set, 1970, 12, 305–311.
8.
EwinsD. J.Vibration characteristics of bladed disc assemblies. J. Mech. Engng Set, 1973, 15, 165–186.
9.
AfolabiD.Vibration amplitudes of mistuned blades. Trans. ASME, J. Turbomach., 1988, 110, 251–257.
10.
LeissaA. W.On a curve veering aberration. J. Appl. Maths. Phys. (ZAMP), 1974, 25, 99–111.
11.
PerkinsN. C.MoteC. D.JrComments on curve veering in eigenvalue problems. J. Sound Vibr., 1986, 106, 451–463.
12.
AfolabiD.Modal interaction in linear dynamic systems near degenerate modes, 1991, NASA technical memorandum 105315 (National Technical Information Service, Springfield, Va.).
13.
CrandallS. H.MroszczykJ. W.Conservative and noncon-servative coupling in dynamic systems. Proceedings of International Conference on Vibrating rotating machines, Cambridge, 1988, pp. 567–572 (Mechanical Engineering Publications, London).
14.
EwinsD. J.Modal testing, theory and practice, 1984 (Research Studies Press, Chichester).
15.
AfolabiD.A note on the rogue failure of turbine blades. J. Sound Vibr., 1988, 122, 535–545.
