Forced response statistics of mistuned bladed disks: A stochastic reduced basis approach

Journal of Sound and Vibration

Volumn 263, Issue 2, 2003, Pages 377-397

  Bah, M T ^a   Nair, P B ^a   Bhaskar, A ^a   Keane, A J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; GALERKIN METHODS; PERTURBATION TECHNIQUES; STATISTICAL METHODS;

BUBNOV-GALERKIN SCHEME; FORCED RESPONSE STATISTICS; KRYLOV SUBSPACE;

DISKS (MACHINE COMPONENTS);

EID: 0037946844     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01058-1     Document Type: Article

References (24)

1. C.S. Manohar, R.A. Ibrahim, Progress in structural dynamics with stochastic parameter variations: 1987-1998, Applied Mechanics Reviews 52 (5) (1999) 177-197.
2. S.-T. Wei, C. Pierre, Localization phenomena in mistuned assemblies with cyclic symmetry: Part I, Journal of Vibration, Acoustics, Stress, and Reliability in Design 110 (4) (1988) 429-438.
3. C. Pierre, Mode localization and eigenvalue loci veering phenomena in disordered structures, Journal of Sound and Vibration 126 (3) (1988) 485-502.
4. D. Afolabi, A note on the rogue failure of turbine blades, Journal of Sound and Vibration 122 (3) (1998) 535-545.
5. S.-T. Wei, C. Pierre, Localization phenomena in mistuned assemblies with cyclic symmetry: Part II, Journal of Vibration, Acoustics, Stress, and Reliability in Design 110 (4) (1988) 439-449.
6. G.S. Ottarson, C. Pierre, On the effects of interblade coupling on the statistics of maximum forced response amplitudes in mistuned bladed disks, in: Proceedings of the 36th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Vol. 5, New Orleans, LA, 1995, pp. 3070-3078.
7. S.-T. Wei, C. Pierre, Statistical analysis of the forced response of mistuned cyclic assemblies, American Institute of Aeronautics and Astronautics Journal 121 (5) (1990) 861-868.
8. M.P. Castanier, G.S. Ottarson, C. Pierre, A reduced-order modeling technique for mistuned bladed disks, American Society of Mechanical Engineers Journal of Vibrations and Acoustics 119 (3) (1997) 439-447.
9. K.R. Kaza, R.E. Kielb, Effects of structural coupling on mistuned cascade flutter and response, American Society of Mechanical Engineers Journal of Engineering for Gas Turbines and Power 106 (1) (1984) 17-24.
10. R. Bladh, M.P. Castanier, C. Pierre, Reduced order modeling and vibration analysis of mistuned bladed disk assemblies with shrouds, American Society of Mechanical Engineers Journal of Engineering for Gas Turbines and Power 121 (3) (1999) 515-522.
11. M. Kruse, C. Pierre, Dynamic response of an industrial turbomachinery rotor, American Institute of Aeronautics and Astronautics Journal 27 (2) (1996) 227-241.
12. R. Bladh, M.P. Castanier, C. Pierre, Component-mode-based reduced order modelling techniques for mistuned bladed disks-part I: theoretical models, American Society of Mechanical Engineers Journal of Engineering for Gas Turbines and Power 121 (3) (2001) 89-99.
13. M.T. Bah, A. Bhaskar, A.J. Keane, Model order reduction and pass-band based calculations for disordered periodic structures, Journal of Sound and Vibration 256 (4) (2002) 205-227.
14. J.H. Griffin, T.M. Hoosac, Model development and statistical investigation of turbine blade mistuning, American Society of Mechanical Engineers Journal of Vibration, Acoustics, Stress and Reliability in Design 106 (1984) 204-210.
15. M.P. Mignolet, K.R. Christensen, Probabilistic analysis of mistuned bladed disks: a combined closed form-perturbation approach, in: Proceedings of the ASME 35th International Gas Turbine and Aeroengine Congress, Paper 90-GT-191, 1990.
16. A. Sinha, Calculating the statistics of forced response of a mistuned bladed disk assembly, American Institute of Aeronautics and Astronautics Journal 24 (1986) 1797-1801.
17. G.S. Happawana, O.D.I. Nwokah, A.K. Bajaj, M. Azene, Free and forced response of mistuned linear cyclic systems: a singular perturbation approach, Journal of Sound and Vibration 211 (5) (1998) 761-789.
18. P.B. Nair, A.J. Keane, New developments in computational stochastic mechanics, part I: theory, American Institute of Aeronautics and Astronautics Paper 2000-1827, 2000.
19. P.B. Nair, A.J. Keane, New developments in computational stochastic mechanics, part II: applications, American Institute of Aeronautics and Astronautics Paper 2000-1441, 2000.
20. P.B. Nair, On the Theoretical foundations of stochastic reduced basis methods, American Institute of Aeronautics and Astronautics Paper 2001-1677, 2001.
21. P.B. Nair, A.J. Keane, Stochastic reduced basis methods, American Institute of Aeronautics and Astronautics Journal 40 (8) (2002) 1653-1664.
22. R. Ghanem, P. Spanos, Stochastic Finite Element Method: A Spectral Approach, Springer, New York, 1991.
23. P.J. Davis, Circulant Matrices, Wiley-Interscience, New York, 1979.
24. D. Cha, A. Sinha, Statistics of response of a mistuned bladed disk assembly subjected to white noise and narrow band excitation, American Society for Mechanical Engineers Journal of Engineering for Gas Turbines and Power 121 (1999) 710-717.