| Citation: | CHEN Lei,QIAO Baijie,AO Chunyan,et al.Uncertainty quantification of rotor blade dynamic strain reconstruction based on blade tip timing[J].Journal of Aerospace Power,2022,37(7):1456‑1468. doi: 10.13224/j.cnki.jasp.20210275 |
Based on the theory of blade non⁃contact dynamic strain reconstruction,research on the uncertainty quantification method of dynamic strain reconstruction was carried out.According to the variance composition theorem,a model of the blade reconstructed dynamic strain uncertainty for quantitative analysis was established.A simulated rotor blade was used as the research object,and the rotation experiment was carried out.The circumferential Fourier Fitting was used to obtain the amplitude of measuring point under different blade tip timing sensor layouts,and the maximum entropy method was adopted to fit the probability density function of the amplitude distribution,which could be used to determine the uncertainty parameters of the blade⁃tip⁃timing vibration measurement.The finite element model of the blade was modified by combining the Kriging proxy model and the resonant frequency of the test.The displacement⁃strain conversion factors of the key measuring points were obtained,and the uncertainty parameters of the conversion factor considering the uncertainty of the resonance speed and measuring point position were obtained.The mean value,standard uncertainty and inclusion interval of the reconstructed dynamic strain were obtained and compared with the measured data of the strain gauge.Results showed that except for the measuring point
| [1] |
王寿菊.国内外航空发动机企业信息化发展概述[J].内燃机与配件,2020,41(13):192⁃193.
WANG Shouju.Overview of the development of informatization of domestic and foreign aero⁃engine enterprises[J].Internal Combustion Engine and Parts,2020,41(13):192⁃193.(in Chinese)
|
| [2] |
徐海龙.旋转叶片裂纹的叶端定时非接触在线检测关键技术研究[D].长沙:国防科技大学,2018.
XU Hailong.Research on key technology of crack detection in rotating blades by non‑contact online blade tip‑timing method[D].Changsha:National University of Defense Technology,2018.(in Chinese)
|
| [3] |
KNAPPETT D,GARCIA J.Blade tip timing and strain gauge correlation on compressor blades[J].Proceedings of the Institution of Mechanical Engineers:Part G Journal of Aerospace Engineering,2008,222(4):497⁃506.
|
| [4] |
ZHANG Xiaojie,WANG Yanrong,JIANG Xianghua,et al.Blade vibration stress determination method based on blade tip timing simulator and finite element method[J].Journal of Engineering for Gas Turbines and Power,2020,142(3):1‑16.
|
| [5] |
段发阶,李刚,叶德超,等.基于叶尖定时的叶片动应力反演方法[J].纳米技术与精密工程,2016,14(3):161⁃166.
DUAN Fajie,LI Gang,YE Dechao,et al.Method for inversing dynamic stress of blade based on tip⁃timing[J].Nano⁃technology and Precision Engineering,2016,14(3):161⁃166.(in Chinese)
|
| [6] |
王维民,任三群,陈立芳,等.涡轮机叶片同步振动参数辨识方法研究(实验研究)[J].振动与冲击,2017,36(17):127‑133.
WANG Weiming,REN Sanqun,CHEN Lifang,et al.Tests for synchronous vibration parametric identification method of a turbine's blades[J].Journal of Vibration and Shock,2017,36(17):127⁃133.(in Chinese)
|
| [7] |
刘美茹,滕光蓉,肖潇,等.基于叶尖定时的航空发动机涡轮叶片振动测量[J].航空动力学报,2020,35(9):1954⁃1963.
LIU Meiru,TENG Guangrong,XIAO Xiao,et al.Vibration measurement of turbine rotor blades of aero⁃engine based on blade tip⁃timing[J].Journal of Aerospace Power,2020,35(9):1954⁃1963.(in Chinese)
|
| [8] |
刘美茹,朱靖,梁恩波,等.基于叶尖定时的航空发动机压气机叶片振动测量[J].航空动力学报,2019,34(9):1895⁃1904.
LIU Meiru,ZHU Jing,LIANG Enbo,et al.Vibration measurement on compressor rotor blades of aero⁃engine based on tip⁃timing[J].Journal of Aerospace Power,2019,34(9):1895⁃1904.(in Chinese)
|
| [9] |
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)
|
| [10] |
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.Dynamic strain reconstruction method of rotating blades based on no⁃contact measurement[J].Journal of Aerospace Power,2020,35(3):569⁃580.(in Chinese)
|
| [11] |
SATISH TN,MURTHY R,SINGH AK.Analysis of uncertainties in measurement of rotor blade tip clearance in gas turbine engine under dynamic condition[J].Proceedings of the Institution of Mechanical Engineers:Part G Journal of Aerospace Engineering,2014,228(5):652⁃670.
|
| [12] |
PICKERING T M.Methods for validation of a turbomachinery rotor blade tip timing system[D].Blacksburg,Virginia,the United States of America:Virginia Tech,2014.
|
| [13] |
KAMARAJ A.Stress prediction in turbine blades under force excitation[D].San Diego,California,the United States of America:San Diego State University.2016.
|
| [14] |
潘明昊.基于叶端定时测量的叶片多频振动稀疏重构方法[D].长沙:国防科技大学,2017.
PAN Minghao.Sparse reconstruction of multi⁃frequency blade vibration spectrum by blade tip timing measurement[D].Changsha:National University of Defense Technology,2017.(in Chinese)
|
| [15] |
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⁃524239
XU Jinghui,QIAO Baijie,TENG Guangrong,et al.Parameter identification of blade tip timing signal using compressed sensing[J].Acta Aeronauticaet Astronautica Sinica,2021,42(5):524229⁃524239.(in Chinese)
|
| [16] |
吉利.基于响应面法的航天器有限元模型修正方法研究[D].哈尔滨:哈尔滨工业大学,2020.
JI Li.Study of finite element model updating meth⁃od for spacecraft based on response surface method[D].Harbin:Harbin Institute of Technology,2020.(in Chinese)
|
| [17] |
唐新姿,王喆,王效禹.多源不确定耦合下离心压气机叶轮气动稳健性[J].航空动力学报,2020,35(1):196⁃204.
TANG Xinzi,WANG Zhe,WANG Xiaoyu.Aerodynamic robustness of centrifugal compressor impeller under multi⁃source uncertainty coupling[J].Journal of Aerospace Power,2020,35(1):196⁃204.(in Chinese)
|
| [18] |
DENG Zhongmin,GUO Zhaopu,ZHANG Xinjie.Interval model updating using perturbation method and radial basis function neural networks[J].Mechanical Systems and Signal Processing,2017,84:699⁃716.
|
| [19] |
HAMED H K,JOHN E M,KENNETH J B.Interval model updating with irreducible uncertainty using the Kriging predictor[J].Mechanical Systems and Signal Processing,2011,25(4):1204⁃1226.
|
| [20] |
MOHAMED M,PHILIP B,PETER R.A novel method for the determination of the change in blade tip timing probe sensing position due to steady movements[J].Mechanical Systems and Signal Processing,2019,126:686‑710.
|
| [21] |
史进渊,杨宇,孙庆,等.机械零件振动的可靠性设计[J].振动工程学报,1999,4(4):117⁃122.
SHI Jinyuan,YANG Yu,SUN Qing,et al.Reliability Design of Vibrating Machinery Part[J].Journal of Vibration Engineering,1999,4(4):117⁃122.(in Chinese)
|