| Citation: | WANG Zengzeng, LIU Mengyong, MA Hongwei, et al. Tip timing compress sensing reconstruction of blade non-synchronous vibration[J]. Journal of Aerospace Power, 2026, 41（4）：20250066 doi: 10.13224/j.cnki.jasp.20250066
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The compressed sensing reconstruction error analysis and comparison of 2.5 times rotating frequency blade non-synchronous vibration signals were conducted based on the condition number optimized sensor arrangement compressed sensing algorithm and the random sensor arrangement combined with the vibration equation dictionary compressed sensing reconstruction algorithm. It was found that the condition number optimized sensor arrangement algorithm was lower in amplitude accuracy than the algorithm based on the random sensor arrangement combined with the vibration equation dictionary. Under the same number of sensors, the stability of the reconstruction accuracy obtained by the generation method of the random sensor arrangement was far lower than the condition number optimized sensor arrangement algorithm. In order to improve the amplitude reconstruction accuracy of compressed sensing for non-synchronous vibration signals and obtain a more stable reconstruction error level, the condition number 1 of the recovery matrix was taken as the optimal objective. By optimizing the sensor layout through genetic variant and combining it with the vibration equation to construct a dictionary, the coefficients of the vibration equation were obtained to reconstruct non-synchronous vibration signals. Compared with the above two algorithms, the amplitude reconstruction accuracy was improved and the stability of the reconstruction error distribution was enhanced. The reconstruction accuracy and stability of three algorithms were verified through non-synchronous vibration experimental data of the compressor. The results showed that under the condition of 10 sensors, the maximum reconstruction error of the compression sensing vibration equation reconstruction method with optimized sensor arrangement was 0.021, the maximum reconstruction error of genetic optimization with small condition number was 0.025, and the maximum reconstruction error of the vibration equation with random sensor arrangement was 0.06. When the number of sensors decreased to 4, the maximum error of the vibration equation reconstruction algorithm based on sensor layout optimization for reconstructing non-synchronous vibration experimental data was 0.05, indicating that this algorithm had high reconstruction stability and accuracy.
| [1] |
马宏伟, 蒋浩康. 压气机转子通道内尖区三维平均流场[J]. 航空动力学报, 1997, 12(2): 167-171. MA Hongwei, JIANG Haokang. Three-dimensional flow field inside a compressor rotor tip region[J]. Journal of Aerospace Power, 1997, 12(2): 167-171. (in Chinese
MA Hongwei, JIANG Haokang. Three-dimensional flow field inside a compressor rotor tip region[J]. Journal of Aerospace Power, 1997, 12(2): 167-171. (in Chinese)
|
| [2] |
马宏伟, 蒋浩康. 压气机不同状态下转子出口三维紊流流场[J]. 航空动力学报, 1997, 12(3): 268-272. MA Hongwei, JIANG Haokang. 3D turbulent flow at compressor rotor exitunder different flow conditions[J]. Journal of Aerospace Power, 1997, 12(3): 268-272. (in Chinese
MA Hongwei, JIANG Haokang. 3D turbulent flow at compressor rotor exitunder different flow conditions[J]. Journal of Aerospace Power, 1997, 12(3): 268-272. (in Chinese)
|
| [3] |
MA Hongwei, WEI Wei, OTTAVY X. Experimental investigation of flow field in a laboratory-scale compressor[J]. Chinese Journal of Aeronautics, 2017, 30(1): 31-46. doi: 10.1016/j.cja.2016.09.016
|
| [4] |
BLEVINS R D. 流体诱发振动[M]. 吴恕三, 译. 北京: 机械工业出版社, 1983. BLEVINS R D. Flow-induced vibration[M]. Translated by WU Sanshu. Beijing: China Machine Press, 1983. (in Chinese
BLEVINS R D. Flow-induced vibration[M]. Translated by WU Sanshu. Beijing: China Machine Press, 1983. (in Chinese)
|
| [5] |
BAUMGARTNER M, KAMEIER F A H J. Non-engine order blade vibration in a high pressure compressor[R]. Melbourne, Australia: 12th International Symposium on Airbreathing Engines, 1995.
|
| [6] |
HOLZINGER F, WARTZEK F. Self-excited blade vibration experimentally investigated in transonic compressors: rotating instabilities and flutter[J]. Journal of Turbomachinery, 2016, 138: 041006. doi: 10.1115/1.4032163
|
| [7] |
IM H S, ZHA Gecheng. Effects of rotor tip clearance on tip clearance flow potentially leading to NSV in an axial compressor[R]. ASME Paper GT2012-68148s, 2012.
|
| [8] |
ESPINAL D, IM H S, ZHA Gecheng. Full-annulus simulation of nonsynchronous blade vibration excitation of an axial compressor[J]. Journal of Turbomachinery, 2018, 140(3): 031008. doi: 10.1115/1.4038337
|
| [9] |
GAN Jiaye, IM H S, ESPINAL D, et al. Investigation of a compressor rotor non-synchronous vibration with and without fluid-structure interaction[R]. ASME Paper GT2014-26478, 2014.
|
| [10] |
王增增, 马宏伟. 航空发动机轴流压气机非整阶振动实验研究进展[J]. 航空动力学报, 2022, 37(11): 2416-2429. WANG Zengzeng, MA Hongwei. Overview of experimental research on non-synchronous vibration in aero-engine axial compressor[J]. Journal of Aerospace Power, 2022, 37(11): 2416-2429. (in Chinese
WANG Zengzeng, MA Hongwei. Overview of experimental research on non-synchronous vibration in aero-engine axial compressor[J]. Journal of Aerospace Power, 2022, 37(11): 2416-2429. (in Chinese)
|
| [11] |
FAN C, RUSSHARD P, WANG A, et al. Analysis of blade tip timing data from fan blades with synchronous and non-synchronous vibration[J]. Journal of Physics: Conference Series, 2018, 1149: 012014. doi: 10.1088/1742-6596/1149/1/012014
|
| [12] |
CARASSALE L, COLETTI F, GUIDA R. Multi-channel spectral analysis of non-synchronous vibrations of bladed disks measured by blade tip timing[R]. ASME Paper GT2020-15512, 2020.
|
| [13] |
张玉贵, 段发阶, 方志强, 等. 旋转叶片异步振动的频率识别技术[J]. 振动与冲击, 2007, 26(12): 106-108, 174-175. ZHANG Yugui, DUAN Fajie, FANG Zhiqiang, et al. Frequency identification technique for asynchronous vibration of rotating blades[J]. Journal of Vibration and Shock, 2007, 26(12): 106-108, 174-175. (in Chinese
ZHANG Yugui, DUAN Fajie, FANG Zhiqiang, et al. Frequency identification technique for asynchronous vibration of rotating blades[J]. Journal of Vibration and Shock, 2007, 26(12): 106-108, 174-175. (in Chinese)
|
| [14] |
CANDES E J, WAKIN M B. An introduction to compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2): 21-30. doi: 10.1109/MSP.2007.914731
|
| [15] |
郭俊锋, 石斌, 魏兴春, 等. 基于K-SVD字典学习算法的稀疏表示振动信号压缩测量重构方法[J]. 机械工程学报, 2018, 54(7): 97-106. GUO Junfeng, SHI Bin, WEI Xingchun, et al. A method of reconstruction of compressed measuring for mechanical vibration signals based on K-SVD dictionary-training algorithm sparse representation[J]. Journal of Mechanical Engineering, 2018, 54(7): 97-106. (in Chinese doi: 10.3901/JME.2018.07.097
GUO Junfeng, SHI Bin, WEI Xingchun, et al. A method of reconstruction of compressed measuring for mechanical vibration signals based on K-SVD dictionary-training algorithm sparse representation[J]. Journal of Mechanical Engineering, 2018, 54(7): 97-106. (in Chinese) doi: 10.3901/JME.2018.07.097
|
| [16] |
温江涛, 孙洁娣, 于洋, 等. 基于小波包字典优化的旋转机械振动信号压缩感知重构方法[J]. 振动与冲击, 2018, 37(22): 164-172. WEN Jiangtao, SUN Jiedi, YU Yang, et al. Compressed Sensing reconstruction forrotating machinery vibration signals based on the wavelet packet dictionary optimization[J]. Journal of Vibration and Shock, 2018, 37(22): 164-172. (in Chinese
WEN Jiangtao, SUN Jiedi, YU Yang, et al. Compressed Sensing reconstruction forrotating machinery vibration signals based on the wavelet packet dictionary optimization[J]. Journal of Vibration and Shock, 2018, 37(22): 164-172. (in Chinese)
|
| [17] |
PAN Minghao, YANG Yongmin, GUAN Fengjiao, et al. Sparse representation based frequency detection and uncertainty reduction in blade tip timing measurement for multi-mode blade vibration monitoring[J]. Sensors, 2017, 17(8): 1745.
|
| [18] |
SPADA R P, NICOLETTI R. Applying compressed sensing to blade tip timing data: a parametric analysis[C]//Proceedings of the 10th International Conference on Rotor Dynamics-IFToMM. Cham: Springer, 2019: 121-134.
|
| [19] |
DIAMOND D H, STEPHAN HEYNS P. A novel method for the design of proximity sensor configuration for rotor blade tip timing[J]. Journal of Vibration and Acoustics, 2018, 140(6): 061003. doi: 10.1115/1.4039931
|
| [20] |
张效溥, 田杰, 孙宗翰, 等. 基于任意传感器排布的叶尖定时信号压缩感知辨识方法[J]. 航空动力学报, 2020, 35(1): 41-51. ZHANG Xiaopu, TIAN Jie, SUN Zonghan, et al. Compressive sensing identification method of blade tip timing signals based on arbitrary sensor arrangement[J]. Journal of Aerospace Power, 2020, 35(1): 41-51. (in Chinese
ZHANG Xiaopu, TIAN Jie, SUN Zonghan, et al. Compressive sensing identification method of blade tip timing signals based on arbitrary sensor arrangement[J]. Journal of Aerospace Power, 2020, 35(1): 41-51. (in Chinese)
|
| [21] |
张智伟, 柴鹏飞, 孙宗翰, 等. 高可靠小条件数压缩感知叶尖定时信号辨识[J]. 航空动力学报, 2021, 36(3): 509-519. ZHANG Zhiwei, CHAI Pengfei, SUN Zonghan, et al. High reliability identification method of blade tip timing signals based on compressed sensing under small condition number[J]. Journal of Aerospace Power, 2021, 36(3): 509-519. (in Chinese
ZHANG Zhiwei, CHAI Pengfei, SUN Zonghan, et al. High reliability identification method of blade tip timing signals based on compressed sensing under small condition number[J]. Journal of Aerospace Power, 2021, 36(3): 509-519. (in Chinese)
|
| [22] |
许敬晖, 乔百杰, 滕光蓉, 等. 基于压缩感知的叶端定时信号参数辨识方法[J]. 航空学报, 2021, 42(5): 524229. XU Jinghui, QIAO Baijie, TENG Guangrong, et al. Parameter identification of blade tip timing signal using compressed sensing[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(5): 524229. (in Chinese
XU Jinghui, QIAO Baijie, TENG Guangrong, et al. Parameter identification of blade tip timing signal using compressed sensing[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(5): 524229. (in Chinese)
|
| [23] |
徐海龙, 杨拥民, 胡海峰, 等. 基于压缩感知的叶端定时欠采样多频叶片振动盲重构研究[J]. 机械工程学报, 2019, 55(13): 113-121. XU Hailong, YANG Yongmin, HU Haifeng, et al. Compressed sensing-based blind reconstruction of multi-frequency blade vibration from under-sampled BTT signals[J]. Journal of Mechanical Engineering, 2019, 55(13): 113-121. (in Chinese doi: 10.3901/JME.2019.13.113
XU Hailong, YANG Yongmin, HU Haifeng, et al. Compressed sensing-based blind reconstruction of multi-frequency blade vibration from under-sampled BTT signals[J]. Journal of Mechanical Engineering, 2019, 55(13): 113-121. (in Chinese) doi: 10.3901/JME.2019.13.113
|
| [24] |
吴淑明, 胡海峰, 赵志斌, 等. 增强稀疏分解及其在叶片振动参数识别中的应用[J]. 机械工程学报, 2019, 55(19): 19-27. WU Shuming, HU Haifeng, ZHAO Zhibin, et al. Enhancing sparse decomposition based vibration parameter identification[J]. Journal of Mechanical Engineering, 2019, 55(19): 19-27. (in chinese
WU Shuming, HU Haifeng, ZHAO Zhibin, et al. Enhancing sparse decomposition based vibration parameter identification[J]. Journal of Mechanical Engineering, 2019, 55(19): 19-27. (in chinese)
|
| [25] |
ZHANG Z W, CHAI P F, CHEN Y, et al. Optimization of non-uniform sensor placement for blade tip timing based on equiangular tight frame theory[R]. ASME Paper GT2021-59104, 2021.
|
| [26] |
KNILL C, ROOS F, SCHWEIZER B, et al. Random multiplexing for an MIMO-OFDM radar with compressed sensing-based reconstruction[J]. IEEE Microwave and Wireless Components Letters, 2019, 29(4): 300-302. doi: 10.1109/LMWC.2019.2901405
|
| [27] |
VAN DER SLUIS A. Stability of solutions of linear algebraic systems[J]. Numerische Mathematik, 1970, 14(3): 246-251. doi: 10.1007/BF02163333
|
| [28] |
孙建邦, 李建兵, 王鼎, 等. 基于遗传模型改进蜂群算法的稀疏阵列优化[J]. 强激光与粒子束, 2021, 33(12): 123005. SUN Jianbang, LI Jianbing, WANG Ding, et al. Thinned array optimization based on genetic model improved artificial bee colony algorithm[J]. High Power Laser and Particle Beams, 2021, 33(12): 123005. (in Chinese
SUN Jianbang, LI Jianbing, WANG Ding, et al. Thinned array optimization based on genetic model improved artificial bee colony algorithm[J]. High Power Laser and Particle Beams, 2021, 33(12): 123005. (in Chinese)
|
| [29] |
敖春燕, 乔百杰, 刘美茹, 等. 基于非接触式测量的旋转叶片动应变重构方法[J]. 航空动力学报, 2020, 35(3): 569-580. AO Chunyan, QIAO Baijie, LIU Meiru, et al. Dynamic strain reconstruction method of rotating blades based on no-contact measurement[J]. Journal of Aerospace Power, 2020, 35(3): 569-580. (in Chinese
AO Chunyan, QIAO Baijie, LIU Meiru, et al. Dynamic strain reconstruction method of rotating blades based on no-contact measurement[J]. Journal of Aerospace Power, 2020, 35(3): 569-580. (in Chinese)
|
| [30] |
杨康, 王维民, 张娅, 等. 透平机械叶片动应变非接触测量研究[J]. 风机技术, 2021, 63(3): 82-87. YANG Kang, WANG Weimin, ZHANG Ya, et al. Study on non contact measurement of dynamic strain of turbine blades[J]. Chinese Journal of Turbomachinery, 2021, 63(3): 82-87. (in Chinese
YANG Kang, WANG Weimin, ZHANG Ya, et al. Study on non contact measurement of dynamic strain of turbine blades[J]. Chinese Journal of Turbomachinery, 2021, 63(3): 82-87. (in Chinese)
|
| [31] |
ZHANG H, ZHANG M, DONG X, et al. Non-synchronous vibration and related tip clearance flow characteristic in a low-speed axial fan[R]. ASME Paper GT2024-129094, 2024.
|
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