Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Pattern Optimization of Intentional Blade Mistuning for the Reduction of the Forced Response Using Genetic Algorithm

  • Park, Byeong-Keun (School of Mechanical ＆ Aerospace Engineering, The Institute of Marine Industry, Gyeongsang National University)
  • Published : 2003.07.01
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Abstract

This paper investigates how intentional mistuning of bladed disks reduces their sensitivity to unintentional random mistuning. The class of intentionally mistuned disks considered here is limited, for cost reasons, to arrangements of two types of blades (A and B, say). A two-step procedure is then described to optimize the arrangement of these blades around the disk to reduce the effects of unintentional random mistuning. First, a pure optimization effort is undertaken to obtain the pattern (s) of the A and B blades that yields small/the smallest value of the largest amplitude of response to a given excitation in the absence of unintentional random mistuning using Genetic Algorithm. Then, in the second step, a qualitative/quantitative estimate of the sensitivity for the optimized intentionally mistuned bladed disks with respect to unintentional random mistuning is performed by analyzing their amplification factor, probability density function and passband/stopband structures. Examples of application with simple bladed disk models demonstrate the significant benefits of using this class of intentionally mistuned disks.

Keywords

References

  1. Castanier, M.P. and Pierre, C., 1993, 'Individual and Interactive Mechanisms for Localization and Dissipation in a Mono-Coupled Nearly Periodic Structure,' Journal of Sound and Vibration, Vol. 168, No. 3, pp. 479-505 https://doi.org/10.1006/jsvi.1993.1387
  2. Castanier, M.P. and Pierre, C., 1997, 'Consideration on the Benefits of Intentional Blade Mistuning for the Forced Response of Turbo-machinery Rotors,' Proceedings of the ASME Aerospace Division, AD-Vol. 55, pp. 419-425
  3. Castanier, M.P. and Pierre, C., 1997, 'Predicting Localization via Lyapunov Exponent Statistics,' Journal of Sound and Vibration, Vol. 203, No. 1, pp. 151-157 https://doi.org/10.1006/jsvi.1996.0806
  4. Castanier, M.P. and Pierre, C., 1998, 'Investigation of the Combined Effects of Intentional and Random Mistuning on the Forced Response of Bladed Disks,' Paper AIAA-98-3720
  5. Gen, M. and Cheng, R., 1997, Genetic Algorithms & Engineering Designs, Wiley-Interscience, New York
  6. Goldberg, D.E., 1989, Genetic Algorithms in Search, Optimization & Machine Leaning, Addision Wesley, New York, USA
  7. Griffin, J.H. and Sinha, A., 1985, 'The Interaction Between Mistuning and Friction in the Forced Response of Bladed Disk Assemblies,' ASME Journal of Engineering for Gas Turbines and Power, Vol. 107, pp. 205-211 https://doi.org/10.1115/1.3239684
  8. Kaza, K.R.V. and Kielb, R.E., 1984, 'Flutter of Turbofan Rotors with Mistuned Blades,' AIAA Journal, Vol. 22, No. 11, pp. 1618-1625 https://doi.org/10.2514/3.8827
  9. Kaza, K.R.V. and Kielb, R.E., 1985, 'Vibration and Flutter of Mistuned Bladed-Disk Assemblies,' Journal of Propulsion, Vol. 1, No. 5, pp. 336-344 https://doi.org/10.2514/3.22806
  10. Kenyon, J.A. and Griffin, J.H., 2000, 'Intentional Harmonic Mistuning for Robust Forced Response of Bladed Disks,' 5th National Turbine Engine High Cycle Fatigue (HCF) Conference, Chandler, AZ, Mar. 7-9
  11. Kruse, M.J. and Pierre, C., 1996, 'Forced Response of Mistuned Bladed Disks Using Reduce-Order Modeling,' Proceedings of the 37th Structures, Structure Dynamics and Materials Conference, Salt Lake City, UT
  12. LaBorde, B.H., 1999, 'Assessment of Predictive Capabilities of Mistuning Effects on the Resonant Response of Bladed Disks,' M.S. Thesis, Arizona State University, December
  13. Lin, C.C. and Mignolet, M.P., 1996, 'Effects of Damping and Damping Mistuning on the Forced Vibration Response of Bladed Disks,' Journal of Sound and Vibration, Vol. 193, No. 2, pp. 525-543 https://doi.org/10.1006/jsvi.1996.0300
  14. Mehmed, O. and Murthy, D.V., 1988, 'Experimental Investigation of Propfan Aeroelastic Response in Off-Axis Flow with Mistuning,' Proceedings of the 24th AIAA/SAE/ASEE Joint Propulsion Conference, Boston Massachusetts
  15. Mignolet, M.P. and Lin, C.C., 1997, 'Identification of Structural Parameters in Mistuned Bladed Disks,' ASME Journal of Vibration and Accoistics, Vol. 119, pp. 428-438 https://doi.org/10.1115/1.2889742
  16. Mignolet, M.P., Hu, W., Jadic, I., 1998a, 'On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. Part I: Harmonic Mistuning,' Proceedings of the ISROMAC-7 Symposium, Honolulu, Hawaii, Feb. 22-26, Vol. B, pp. 591-602, Also International Journal of Rotating Machinery, Vol. 6, No. 1, pp. 29-41, 2000
  17. Mignolet, M.P., Hu, W. and Judic, I., 1998b, 'On the Forced Response of Harmonically and Partially Mistuned Bladede Disks. Part II: Partial Mistuning and Applications,' Proceedings of the ISROMAC-7 Symposium, Honolulu, Hawaii, Feb. 22-26, Vol. B, pp. 603-613. Also International Journal of Rotating Machinery, Vol. 6, No. 1, pp. 43-56, 2000
  18. Mignolet, M.P., Delor, J.P. and Rivas-Guerra, A.J., 1999, 'Identification of Mistuning Characteristics of Bladed Disks from Free Response Data, Part II,' 44th International Gas Turbine and Aeroengine Congress and Exposition, Indianapolis, Indiana, Jun. 7-11, ASME paper 99-GT-382
  19. Ottarsson, G. and Pierre, C., 1995, 'On the Effects of Interblade Coupling on the Statistics of Maximum Forced Response Amplitudes in Mistuned Bladed Disks,' Proceedings of the 36th Structures, Structural Dynamics, and Materal Conference and Adaptive Structures Forum, New Orleans, Louisiana, Apr. 10-13, Vol. 5, pp. 3070-3078
  20. Sinha, A., 1986, 'Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,' AIAA Journal, Vol. 24, No. 11, pp. 1797-1801 https://doi.org/10.2514/3.9526
  21. Wei, S.T. and Pierre, C., 1988a, 'Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry - Part I : Free Vibrations,' Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol. 110, No. 4, pp. 429-438 https://doi.org/10.1115/1.3269547
  22. Wei, S.T. and Pierre, C., 1988b, 'Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry-Part II : Forced Vibrations,' Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol. 110, No. 4, pp. 439-449 https://doi.org/10.1115/1.3269548
  23. Wei, S.-T. and Pierre, C., 1990, 'Statistical Analysis of the Forced Response of Mistuned Cyclic Assemblies,' AIAA Journal, Vol. 28, No. 5, pp. 861-868 https://doi.org/10.2514/3.25131