Skip to main content
Log in

A New Method of Reducing the Vibration Localization of the Multi-packet Whole Mistuned Bladed Disk System Using Bladed Packets

  • Original Paper
  • Published:
International Journal of Aeronautical and Space Sciences Aims and scope Submit manuscript

Abstract

Multi-packet whole bladed disks are found in some turbo engines. At the same time, mistuning of blades is inevitable and it will lead to the vibration localization in which vibration energy mainly locates in some blades in the bladed disk system. It can accelerate the high cycle fatigue of the bladed disk. It is critical to search for an efficient way to control the level of vibration localization of the mistuned bladed disk system. Therefore, in this paper, a new method of reducing the vibration localization of the mistuned bladed disk system using bladed packets is studied. A mathematical model is developed in which a coupling stiffness is introduced to describe the coupling relationship due to bladed packets. The effect of bladed packets on the vibration localization of the whole mistuned bladed disk is discussed. The results indicate that the bladed packet can really reduce the degree of the vibration localization of bladed disk. The relationship between the coupling strength of blade to blade and the vibration localization is researched. Moreover, different number of bladed packets of the mistuned bladed disk on the vibration localization of the mistuned bladed disk is investigated for researching the optimal multi-packet structures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Chatterjee A (2016) Lumped parameter modelling of turbine blade packets for analysis of modal characteristics and identificatison of damage induced mistuning. Appl Math Model 40(3):2119–2133

    Article  MathSciNet  Google Scholar 

  2. Kwon S, Chung J, Yoo HH (2014) Transient vibration characteristics of a rotating multi-packet blade system excited by multiple nozzle forces. Int J Mech Sci 83:76–90

    Article  Google Scholar 

  3. Kwon S, Yoo HH (2011) Vibration localization of a mistuned rotating multi-packet blade system undergoing external cyclic harmonic force. J Mech Sci Technol 25(11):2769–2774

    Article  Google Scholar 

  4. Salama AL, Petyt M (1978) Dynamic response of packets of blades by the finite element method. J Mech Des 100(4):660–666

    Google Scholar 

  5. Ewins DJ, Imregun M (1984) Vibration modes of packeted bladed disks. J Vib Acoustics Stress Reliab Design 106(2):175–180

    Article  Google Scholar 

  6. Wagner LF,Griffin JH (1994) Forced harmonic response of grouped blade systems: part I—discrete theory//ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. Am Soc Mech Eng V005T14A028–V005T14A028

  7. Tsai GC (2004) Rotating vibration behavior of the turbine blades with different groups of blades. J Sound Vib 271:547–575

    Article  Google Scholar 

  8. Lim HS, Yoo HH (2009) Modal analysis of a multi-blade system undergoing rotational motion. J Mech Sci Technol 23:2051–2058

    Article  Google Scholar 

  9. Lim HS, Chung J, Yoo HH (2009) Modal analysis of a rotating multi-packet blade system. J Sound Vib 325:513–531

    Article  Google Scholar 

  10. Chatterjee A, Kotambkar MS (2015) Modal characteristics of turbine blade packets under lacing wire damage induced mistuning. J Sound Vib 343:49–70

    Article  Google Scholar 

  11. Kan X, Xu Z, Zhao Y, Dou B, Zhao W (2015) Transient response of control stage blade disk due to partial admission by a reduced method//ASME Turbo Expo 2015: turbine technical conference and exposition. Am Soc Mech Eng V07BT32A022–V07BT32A022

  12. Yoo HH, Kim JY, Inman DJ (2003) Vibration localization of simplified mistuned cyclic structures undertaking external harmonic force. J Sound Vib 261(5):859–870

    Article  Google Scholar 

  13. Kenyon J, Griffin J (2003) Experimental demonstration of maximum mistuned bladed disk forced response. Am Soc Mech Eng 195–205

  14. Rivas-Guerra AJ, Mignolet MP (2001) Local/global effects of mistuning on the forced response of bladed disks. Am Soc Mech Eng V004T001A002

  15. Rivas-Guerra AJ, Mignolet MP (2002) Maximum amplification of blade response due to mistuning: localization and mode shapes aspects of the worst disks. Am Soc Mech Eng 875–889

  16. Castanier MP, Pierre C (2006) Modeling and analysis of mistuned bladed disk vibration: status and emerging directions. J Propul Power 22(2):384–396

    Article  Google Scholar 

  17. Pierre C, Murthy DV (1992) Aeroelastic Modal characteristics of mistuned blade assemblies. AIAA J 30(10):2483–2496

    Article  Google Scholar 

  18. Sinha A (2005) Statistics of the Peak maximum amplitude of the force response of a mistuned bladed disk. ASME Turbo Expo

  19. Yuan J, Allegri G, Scarpa F, Rajasekaran R, Patsias S (2015) Probabilistic dynamics of mistuned bladed disk systems using subset simulation. J Sound Vib 350:185–198

    Article  Google Scholar 

  20. Li C, She H, Tang Q, Wen B (2019) The coupling vibration characteristics of a flexible shaft–disk-blades system with mistuned features. Appl Math Model 67:557–572

    Article  MathSciNet  Google Scholar 

  21. Beirow B, Figaschewsky F, Kuhhorn A, Bornhorn A (2019) Vibration analysis of an axial turbine blisk with optimized intentional mistuning pattern. J Sound Vib 442:557–572

    Article  Google Scholar 

  22. Bonhage M, Adler JT, Kolhoff C, Hentschel O, Schlesier KD (2018) Transient amplitude amplification of mistuned structures: an experimental validation. J Sound Vib 436:236–252

    Article  Google Scholar 

  23. Bai B, Bai GC, Li C (2015) Application of multi-stage multi-objective multi-disciplinary agent model based on dynamic substructural method in mistuned blisk. Aerosp Sci Technol 46:104–115

    Article  Google Scholar 

  24. Bai B, Bai GC, Li C et al (2015) Vibratory characteristic analysis of integral mistuned bladed disk assemblies for aeroengine. Proc Inst Mech Eng Part C J Mech Eng Sci 229(16):2921–2938

    Article  Google Scholar 

  25. Bai B, Li H, Zhang W et al (2020) Application of extremum response surface method-based improved substructure component modal synthesis in mistuned turbine bladed disk. J Sound Vib 472:115210

    Article  Google Scholar 

  26. Bai B, Zhang J, Cui Y et al (2020) Vibration characteristics investigation of mistuned blisks with receptance substructure component modal synthesis method. J Mech Sci Technol 34(7):2715–2729

    Article  Google Scholar 

  27. Bai B, Zhu G (2020) Application of improved dynamic substructure finite element model-based state-space techniques in mistuned blisks. Int J Aerosp Eng

  28. Kurstak E, D'Souza K (2021) An experimental and computational investigation of a pulsed air-jet excitation system on a rotating bladed disk. J Eng Gas Turbines Power 143(1)

  29. She H, Li C, Tang Q et al (2021) Veering and merging analysis of nonlinear resonance frequencies of an assembly bladed disk system. J Sound Vib 493:115818

    Article  Google Scholar 

  30. Kurstak E, D'Souza K (2020) A statistical characterization of the effects and interactions of small and large mistuning on multistage bladed disks. J Eng Gas Turbines Power 142(4)

  31. Chauhan AS, Sinha A (2020) Estimation of forcing function, mistuning, and modal damping in a bladed rotor. J Eng Gas Turbines Power 142(5)

  32. Kan X, Xu Z (2019) Vibration localization for a rotating mistuning bladed disk with the Coriolis effect by a state-space decoupling method. Proc Inst Mech Eng Part G J Aerosp Eng 233(3):1011–1020

    Article  Google Scholar 

  33. Whitehead D (1976) Research note: effect of mistuning on forced vibration of blades with mechanical coupling. J Mech Eng Sci 18(6):306–307

    Article  Google Scholar 

  34. Whitehead D (1996) The maximum factor by which forced vibration of blades can increase due to mistuning. Am Soc Mech Eng V005T014A020

  35. Tang W, Epureanu BI, Filippi S (2017) Models for blisks with large blends and small mistuning. Mech Syst Signal Process 87:161–179

    Article  Google Scholar 

  36. Wei ST, Pierre C (1988) Localization phenomena in mistuned assemblies with cyclic symmetry part I: free vibrations. J Vib Acoustics Stress Reliab Design 110(4):429–438

    Article  Google Scholar 

  37. Kan X, Xu Z, Zhao B, Zhong J (2017) Effect of coriolis force on forced response magnification of intentionally mistuned bladed disk. J Sound Vib 399(7):124–136

    Article  Google Scholar 

  38. Mignolet MP, Hu W, Jadic I (2000) On the forced response of harmonically and partially mistuned bladed disks Part II: partial mistuning and applications. Int J Rotat Mach 6(1):43–56

    Article  Google Scholar 

  39. Yu C, Wang J, Li Q (2008) On the individual and combined effects of intentional mistuning, coupling and damping on the forced response of bladed disks. Am Soc Mech Eng 493–499

  40. Yu CB, Wang JJ, Li QH (2011) Investigation of the combined effects of intentional mistuning, damping and coupling on the forced response of bladed disks. J Vib Control 17(8):1149–1157

    Article  Google Scholar 

  41. Martel C, Sanchezalvarez JJ (2018) Intentional mistuning effect in the forced response of rotors with aerodynamic damping. J Sound Vib 212–229

  42. Beirow B, Figaschewsky F, Kuhhorn A et al (2019) Vibration analysis of an axial turbine blisk with optimized intentional mistuning pattern. J Sound Vib 11–27

  43. Zhou B, Thouverez F, Lenoir D et al (2014) Essentially nonlinear piezoelectric shunt circuits applied to mistuned bladed disks. J Sound Vib 333(9):2520–2542

    Article  Google Scholar 

  44. Chan YJ, Ewins DJ (2010) Management of the variability of vibration response levels in mistuned bladed discs using robust design concepts. Part 1 Parameter design. Mech Syst Signal Process 24(8):2777–2791

    Article  Google Scholar 

  45. Chan YJ, Ewins RJ (2010) Management of the variability of vibration response levels in mistuned bladed discs using robust design concepts. Part 2: tolerance design. Mech Syst Signal Process 24(8):2792–2806

    Article  Google Scholar 

  46. Cha D (2018) Performance of friction dampers in geometric mistuned bladed disk assembly subjected to random excitations. J Sound Vib 426:34–53

    Article  Google Scholar 

  47. Tang W, Baek S, Epureanu B I et al (2017) Reduced-order models for blisks with small and large mistuning and friction dampers. J Eng Gas Turbines Power Trans Asme

  48. Gao J, Gao Y, Yan X et al (2020) Damping mistuning effect of the hard-coating-based intentional mistuning techniques on mistuned blisks and its mechanism. Aerosp Ence Technol 105848

  49. Sinha A (2018) Vibration absorbers for a mistuned bladed disk. J Vib Acoustics 140(5)

  50. Han Y, Murthy R, Mignolet MP, Lentz J (2014) Optimization of intentional mistuning patterns for the mitigation of the effects of random mistuning. J Eng Gas Turbines Power 136(6):062505

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by State Key Laboratory for Strength and Vibration of Mechanical Structures (Grant No. SV2018-KF-34).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xuanen Kan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kan, X., Zhao, B. A New Method of Reducing the Vibration Localization of the Multi-packet Whole Mistuned Bladed Disk System Using Bladed Packets. Int. J. Aeronaut. Space Sci. 22, 857–865 (2021). https://doi.org/10.1007/s42405-021-00369-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42405-021-00369-9

Keywords

Navigation