| Citation: | FAN Yu, LIU Xin, LI Lin, et al. Mechanism analysis for aero-elastic stability improvement of intentional mistuned bladed disk[J]. Journal of Aerospace Power, 2022, 37（10）：2142-2156 doi: 10.13224/j.cnki.jasp.20220282
|
By projecting the aero-elastic modes of the mistuned bladed disk to the modal space spanned by the tuned modes, a closed-form expression of the mistuned aerodynamic damping ratio as a linear superposition of the tuned damping was obtained. It was theoretically demonstrated that: a mistuned aero-elastic mode was constructed by several tuned and independent modes; and the contribution of the tuned modes with high aeroelastic damping can increase the aeroelastic damping of the mistuned mode. A method to predict the aerodynamic damping ratio of the mistuned bladed disk was proposed. It started with respective analysis of aero-elastic coupling and mistuning, and the aerodynamic damping ratio of the mistuned modes can be predicted. A single-time aeroelastic analysis was required for two significant benefits. One is reducing the experimental measurements and the other is decreasing the calculation cost to accelerate the optimization process of mistuning pattern. The bladed disk with NASA-Rotor37 blade profile was considered, and several typical mistuning patterns were applied with different levels of mistuning strength. Results showed that the closed-form expression had an error lower than 0.1%. The prediction method would overrate the stability boundary with error lower than 5%, so it is capable to capture the overall trends of the accurate results.
| [1] |
SRINIVASAN A V. Flutter and resonant vibration characteristics of engine blades[J]. Journal of Engineering for Gas Turbines and Power,1997,119(4): 742-775. doi: 10.1115/1.2817053
|
| [2] |
WHITEHEAD D S. Effect of mistuning on the vibration of turbo-machine blades induced by wakes[J]. Journal of Mechanical Engineering Science,1966,8(1): 15-21. doi: 10.1243/JMES_JOUR_1966_008_004_02
|
| [3] |
BENDIKSEN O O. Flutter of mistuned turbomachinery rotors[J]. Journal of Engineering for Gas Turbines and Power,1984,106(1): 25-33.
|
| [4] |
GROTH P,MARTENSSON H,ANDERSSON C. Design and experimental verification of mistuning of a supersonic turbine blisk[J]. Journal of Turbomachinery,2010,132(1): 011012.1-011012.9.
|
| [5] |
FIGASCHEWSKY F, KÜHHORN A, BEIROW B, et al. Design and analysis of an intentional mistuning experiment reducing flutter susceptibility and minimizing forced response of a jet engine fan[R]. Charlotte, US: Turbo Expo: Power for Land, Sea, and Air, 2017
|
| [6] |
BIAGIOTTI S,PINELLI L,POLI F,et al. Numerical study of flutter stabilization in low pressure turbine rotor with intentional mistuning[J]. Energy Procedia,2018,148: 98-105. doi: 10.1016/j.egypro.2018.08.035
|
| [7] |
CORRAL R,KHEMIRI O,MARTEL C. Design of mistuning patterns to control the vibration amplitude of unstable rotor blades[J]. Aerospace Science and Technology,2018,80: 20-28. doi: 10.1016/j.ast.2018.06.034
|
| [8] |
KAZA K R V,KIELB R E. Flutter and response of a mistuned cascade in incompressible flow[J]. AIAA Journal,1982,20(8): 1120-1127. doi: 10.2514/3.51172
|
| [9] |
KIELB R E,KAZA K R V. Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows[J]. Journal of Vibration and Acoustics,1983,105: 425-433. doi: 10.1115/1.3269124
|
| [10] |
KIELB R E,KAZA K R V. Effects of structural coupling on mistuned cascade flutter and response[J]. Journal of Engineering for Gas Turbines and Power,1984,106(1): 17-24. doi: 10.1115/1.3239532
|
| [11] |
SHAPIRO B. Symmetry approach to extension of flutter boundaries via mistuning[J]. Journal of Propulsion and Power,1998,14(3): 354-366. doi: 10.2514/2.5288
|
| [12] |
CRAWLEY E F,HALL K C. Optimization and mechanisms of mistuning in cascades[J]. Journal of Engineering for Gas Turbines and Power,1985,107(2): 418-426. doi: 10.1115/1.3239742
|
| [13] |
FANG M,WANG Y. Intentional mistuning effect on the blisk vibration with aerodynamic damping[J]. AIAA Journal,2022,60(6): 3884-3893. doi: 10.2514/1.J060797
|
| [14] |
KIELB R E, HALL K C, HONG E, et al. Probabilistic flutter analysis of a mistuned bladed disks[R]. Barcelona, Spain: Turbo Expo: Power for Land, Sea, and Air, 2006.
|
| [15] |
LI L, YU X, WANG P. Research on aerodynamic damping of bladed disk with random mistuning[R]. Charlotte, US: Turbo Expo: Power for Land, Sea, and Air, 2017.
|
| [16] |
LIU X, LI L, FAN Y, et al. Improving the aero-elastic stability of bladed disks through parallel piezoelectric network[R]. Cincinnati, US: Joint Propulsion Conference, 2018.
|
| [17] |
ZHANG X,WANG Y. Mistuning effects on aero-elastic stability of contra-rotating turbine blades[J]. International Journal of Aeronautical and Space Sciences,2019,20(1): 100-113. doi: 10.1007/s42405-018-0108-1
|
| [18] |
LIU X,FAN Y,LI L,et al. Improving aeroelastic stability of bladed disks with topologically optimized piezoelectric materials and intentionally mistuned shunt capacitance[J]. Materials,2022,15(4): 1309-1332. doi: 10.3390/ma15041309
|
| [19] |
HANAMURA Y,TANAKA H,YAMAGUCHI K. A simplified method to measure unsteady forces acting on the vibrating blades in cascade[J]. Bulletin of Japan Society of Mechanical Engineers,1980,23(180): 880-887. doi: 10.1299/jsme1958.23.880
|
| [20] |
MARTEL C, CORRAL R, LLORENS J M. Stability increase of aerodynamically unstable rotors using intentional mistuning[R]. Barcelona, Spain: Turbo Expo: Power for Land, Sea, and Air, 2006
|
| [21] |
BLEEG J M,YANG M T,ELEY J A. Aeroelastic analysis of rotors with flexible disks and alternate blade mistuning[J]. Journal of Turbomachinery,2009,131(1): 011011.1-011011.9.
|
| [22] |
MARTEL C, SÁNCHEZ J J. Intentional mistuning with predominant aerodynamic effects[R]. Oslo, Norway: Turbo Expo: Power for Land, Sea, and Air, 2018.
|
| [23] |
HSU K,HOYNIAK D. A fast influence coefficient method for aerodynamically mistuned disks aeroelasticity analysis[J]. Journal of Engineering for Gas Turbines and Power,2011,133(12): 122502-122511. doi: 10.1115/1.4004110
|
| [24] |
PANOVSKY J,KIELB R E. A design method to prevent low pressure turbine blade flutter[J]. Journal of Engineering for Gas Turbines and Power,2000,122(1): 89-98. doi: 10.1115/1.483180
|
| [25] |
CAMPOBASSO M S, GILES M. Analysis of the effect of mistuning on turbomachinery aeroelasticity[R]. Lyon, France: 9th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines, 2000.
|
| [26] |
FEINER D M,GRIFFIN J H. A fundamental model of mistuning for a single family of modes[J]. Journal of Turbomachinery,2002,124(4): 597-605. doi: 10.1115/1.1508384
|
| [27] |
李其汉, 王延荣. 航空发动机结构强度设计问题[M]. 上海: 上海交通大学出版社, 2014.
|
| [28] |
REID L, MOORE R D. Design and overall performance of four highly loaded, high speed inlet stages for an advanced high-pressure-ratio core compressor[R]. NASA-TP-1337, 1978.
|
DownLoad:
