Dynamic Modeling and Vibration Characteristics for a High-Speed Aero-Engine Rotor with Blade Off
Abstract
:1. Introduction
2. Mathematical Model
2.1. Mechanical Characteristics and Sudden Unbalance Excitation Caused by Blade Off
2.1.1. Sudden Unbalance Excitation
2.1.2. Inertial Asymmetry of the Blade-Disk System
2.2. The Motion Governing Equation of Gas Turbine Rotor with Blade off
3. Modeling Method Validation through a Test Rotor
4. Numerical Results and Discussion
4.1. Critical Speeds and Mode Shapes
4.2. Evolution of Transient Dynamic Response of Blade off
4.2.1. Time-Domain Response Characteristics
4.2.2. Transient Orbit Characteristics
4.2.3. Frequency-Domain Response Characteristics
4.2.4. Impact Effect Due to Sudden Unbalance
4.3. Parametric Analysis
4.3.1. Influence of Rotational Speed
4.3.2. Influence of Blade off Location
4.4. Comparison of Simulation and Test Data
5. Conclusions
- (1)
- The validity of the rotor modeling method is verified by a test. The proposed dynamic model can reflect the dynamic characteristics of the complicated rotor well. It is suitable for vibration analysis because the complex rotor structure is characterized with fewer degrees of freedom. Based on the dynamic model established, the natural characteristics and transient response evolution, including the time-domain, frequency-domain, and orbit, of a high-speed gas generator rotor with blade off are revealed.
- (2)
- The impact effect due to blade off has time-dependent and location-dependent characteristics. When the blade off occurs, the amplitude of transient response increases suddenly and reaches to a peak point soon and then oscillates downward to a stable value with several revolutions. The instantaneous impact force due to blade off is the fundamental reason for the sharp increase in vibration response, and the generated large unbalance after blade off and system damping are the reason for the finally stable amplitude reached. The blade off excites some lower-order natural modes, such that the transient response contains some lower natural frequency components.
- (3)
- The responses of the rotor with blade off occurring at different rotational speeds have similar characteristics, while the rotational speed has a significant influence on the impact factor, i.e., the higher the speed, the greater the impact factor.
- (4)
- The parameter of the blade off location will not only have a significant effect on the impact factor, but also on the frequency spectrum characteristics at each node of the rotor. The transient response excited by the blade off of 1AC is greater than that caused by the loss of the 1GT blade. The sudden unbalance excitation at 1AC can excite the first three-order natural modes simultaneously (fn1, fn2−, fn2+, fn3−, fn3+), while the excitation at 1GT can only excite the first two modes (fn1, fn2−, fn2+).
- (5)
- When blade off occurs at 1AC, 1# bearing and its supporting structure are most likely to be damaged and some safety design needs to be adopted because it has the largest transient and steady-state amplitude and a high impact factor.
- (6)
- The above-mentioned transient response time series, frequency spectrum difference, and impact factor distribution characteristics between two blade off cases can provide a good theoretical basis for the fault recognition of these complex rotors suffering from blade off. At the same time, the modeling method can be applied to other types of rotors.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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No. | Simulation Result (Hz) | Experimental Value (Hz) | Relative Error (%) |
---|---|---|---|
1st order | 413 | 402 | 2.74 |
2nd order | 1164 | 1146 | 1.57 |
3rd order | 5839 | 5768 | 1.23 |
Parameter | Blade Loss Mass (kg) | Radius of Blade Mass Center (mm) |
---|---|---|
Value | 8.46 × 10−3 | 97.77 |
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Wang, L.; Yin, Y.; Wang, A.; Heng, X.; Jin, M. Dynamic Modeling and Vibration Characteristics for a High-Speed Aero-Engine Rotor with Blade Off. Appl. Sci. 2021, 11, 9674. https://doi.org/10.3390/app11209674
Wang L, Yin Y, Wang A, Heng X, Jin M. Dynamic Modeling and Vibration Characteristics for a High-Speed Aero-Engine Rotor with Blade Off. Applied Sciences. 2021; 11(20):9674. https://doi.org/10.3390/app11209674
Chicago/Turabian StyleWang, Longkai, Yijun Yin, Ailun Wang, Xing Heng, and Miao Jin. 2021. "Dynamic Modeling and Vibration Characteristics for a High-Speed Aero-Engine Rotor with Blade Off" Applied Sciences 11, no. 20: 9674. https://doi.org/10.3390/app11209674
APA StyleWang, L., Yin, Y., Wang, A., Heng, X., & Jin, M. (2021). Dynamic Modeling and Vibration Characteristics for a High-Speed Aero-Engine Rotor with Blade Off. Applied Sciences, 11(20), 9674. https://doi.org/10.3390/app11209674