Volume 19, Issue 8 (August 2019)                   Modares Mechanical Engineering 2019, 19(8): 1907-1916 | Back to browse issues page

XML Persian Abstract Print


1- Aerospace Engineering Department, New Technologies & Engineering Faculty, Shahid Beheshti University, Tehran, Iran , s_mahmoudkhani@sbu.ac.ir
2- Aerospace Engineering Department, New Technologies & Engineering Faculty, Shahid Beheshti University, Tehran, Iran
Abstract:   (4683 Views)
In the present study, the flutter and aeroelastic response of mistuned bladed disks to the engine order excitation are studied with the aim of determining the effects of disk structural properties and also establishing an efficient method of analysis. For modeling the solid-fluid interaction, the Whitehead’s incompressible, two dimensional cascade theory is used. The structure is also modeled, using a 4 degrees of freedom lumped mass-spring system, which accounts for the bending and torsional deformation of the blade and the disk. This model would enable us to study the effect of structural coupling of adjacent sections as well as the disk flexibility. The solution is based on expansion of the mistuned-blade response in terms of the traveling-wave modes of a tuned bladed disk. The adopted method would be appropriate for determining the aeroelastic response, since the aerodynamic loads are available only for each individual traveling-wave mode. The obtained solution is used to study the effects of disk flexibility on the aeroelastic instability, variations of natural frequencies with different numbers of nodal diameters, and the sensitivity of the vibration amplitude response to the mistuning. Furthermore, the effects of mistuning in blades torsional frequencies and the mistuning in engine order excitation is considered. Parametric studies show that for disks with a lower bending stiffness, the mistuning can significantly influence the aeroelastic behavior such that the for a certain amount of the natural frequency, the disk response could be increased more than 8 times due to the presence of mistuning.
Full-Text [PDF 967 kb]   (2241 Downloads)    
Article Type: Original Research | Subject: Control
Received: 2018/05/27 | Accepted: 2019/01/26 | Published: 2019/08/12

References
1. Raeesi Estabregh E, Ziaee Rad S. The worst response of mistuned bladed disk system using genetic algorithm. Amirkabir Journal of Mechanical Engineering. 2013;44(2):41-51. [Persian] [Link]
2. Wei ST, Pierre C. Localization phenomena in mistuned assemblies with cyclic symmetry part I: Free vibrations. Journal of Vibration Acoustics Stress and Reliability in Design. 1988;110(4):429-438. [Link] [DOI:10.1115/1.3269547]
3. Srinivasan AV. Influence of mistuning on blade torsional flutter [Internet]. Washington DC: NASA Technical Reports Server; 1980 [cited 2018 April 14]. Available from: https://ntrs.nasa.gov/search.jsp?R=19800022846 [Link]
4. Smith SN. Discrete frequency sound generation in axial flow turbomachines [Dissertation]. London: University of Cambridge; 1971. [Link]
5. Kaza KRV, Kielb RE. Flutter and response of a mistuned cascade in incompressible flow. AIAA Journal. 1982;20(8):1120-1127. [Link] [DOI:10.2514/3.51172]
6. Kaza KRV, Kielb RE. Flutter of turbofan rotors with mistuned blades. AIAA Journal. 1984;22(11):1618-1625. [Link] [DOI:10.2514/3.8827]
7. Kaza KRV, Kielb RE. Vibration and flutter of mistuned bladed-disk assemblies. Journal of Propulsion and Power. 1985;1(5):336-344. [Link] [DOI:10.2514/3.22806]
8. Whiteman WE, Ferri AA. Suppression of bending-torsion flutter through displacement-dependent dry friction damping. AIAA Journal. 1999;37(1):79-83. https://doi.org/10.2514/3.14126 [Link] [DOI:10.2514/2.667]
9. Crouse GL, Leishman JG. Transonic aeroelasticity analysis using state-space unsteady aerodynamic modeling. Journal of Aircraft. 1992;29(1):153-160. [Link] [DOI:10.2514/3.46139]
10. Gordon Leishman J, Crouse Jr GL. A state-space model of unsteady aerodynamics in a compressible flow for flutter analyses. 27th Aerospace Sciences Meeting, 9-12 January 1989, Reno, NV, USA. Reston VA: AIAA; 1989. [Link] [DOI:10.2514/6.1989-22]
11. Pierre C, Murthy DV. Aeroelastic modal characteristics of mistuned blade assemblies-mode localization and loss of eigenstructure. AIAA Journal. 1992;30(10):2483-2496. [Link] [DOI:10.2514/3.11251]
12. Pierre C, Smith TE, Murthy DV. Localization of aeroelastic modes in mistuned high-energy turbines. Journal of Propulsion and Power. 1994;10(3):318-328. [Link] [DOI:10.2514/3.23759]
13. Whitehead D. Force and moment coefficients for vibrating airfoils in cascade [Internet]. London: Her Majesty's Stationery Office; 1962 [cited 2018 April 14]. Available from: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.226.7404&rep=rep1&type=pdf [Link]
14. Whitehead DS. Effect of mistuning on the vibration of turbo-machine blades induced by wakes. Journal of Mechanical Engineering Science. 1966;8(1):15-21. [Link] [DOI:10.1243/JMES_JOUR_1966_008_004_02]
15. Bendiksen O, Friedmann P. Coupled bending-torsion flutter in cascades. AIAA Journal. 1980;18(2):194-201. [Link] [DOI:10.2514/3.50748]
16. Adamczyk JJ, Goldstein ME. Unsteady flow in a supersonic cascade with subsonic leading-edge locus. AIAA Journal. 1978;16(12);1248-1254. [Link] [DOI:10.2514/3.61040]
17. Ananth SM, Kushari A, Venkatesan C. Quasi-steady prediction of coupled bending-torsion flutter under rotating stall. Journal of Fluids and Structures. 2013;43:402-427. [Link] [DOI:10.1016/j.jfluidstructs.2013.09.004]
18. Castanier MP, Pierre C. Modeling and analysis of mistuned bladed disk vibration: Current status and emerging directions. Journal of Propulsion and Power. 2006;22(2):384-396. [Link] [DOI:10.2514/1.16345]
19. Yang MT, Griffin JH. A reduced-order model of mistuning using a subset of nominal system modes. Journal of Engineering for Gas Turbines and Power. 2001;123(4):893-900. [Link] [DOI:10.1115/1.1385197]
20. Olson BJ, Shaw SW, Shi C, Pierre C, Parker RG. Circulant matrices and their application to vibration analysis. Applied Mechanics Reviews. 2014;66(4):040803. [Link] [DOI:10.1115/1.4027722]

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.