Encoder Signal Feature Extraction of Sun Gear Fault at Low Speed Using Relative Ratio of Fault Feature Index
-
摘要: 针对低转速下太阳轮齿根裂纹故障编码器信号特征阶次提取困难的问题,本文提出了一种基于故障特征指标相对比值的特征提取检测方法。首先,将获得的编码器信号通过向前差分处理成瞬时角速度(IAS)信号,按照1/3-二叉树对得到的IAS信号进行子频带划分;其次,对各窄带信号进行包络分析,分别求取正常和故障状态下的IAS信号各子频带的谐波显著性指标(HSI),由此可计算得到其相对比值r;再次,利用r值选取包含故障信息丰富的频带;最后,对处理后的信号在选择的子频带处进行带通滤波,并在提取包络后进行谱分析,提取故障特征。对太阳轮齿根裂纹故障的实测编码器信号进行分析,验证了该方法能有效提取太阳轮故障的特征。Abstract: Aiming at the difficulty of extracting the encoder signal feature order of the sun gear with root crack at low speed, a feature extraction detection method is proposed based on the difference of the fault feature index in this paper. First, the obtained encoder signal is processed into an instantaneous angular speed(IAS)signal through forward difference, and the obtained IAS signal is divided into subbands according to the 1/3-binary tree. Then, the envelope analysis of each narrowband signal is carried out, and the harmonic significance index(HSI)of each subband of IAS signal in normal and fault states is obtained respectively, from which the relative ratio r can be calculated. And, the value of r is used to select the frequency band with rich fault information. Finally, the processed signal is filtered in the selected frequency band, and the spectrum analysis is performed after the envelope is extracted to extract the fault features. The analysis of the measured encoder signal of the sun gear with root crack fault shows that the method can effectively extract the features of the sun gear faults.
-
Key words:
- low speed /
- root crack /
- encoder signal /
- instantaneous angular speed /
- relative ratio of feature index
-
表 1 行星齿轮箱参数
Table 1. Planetary gearbox parameters
名称 行星轮 太阳轮 齿圈 齿数 31 21 84 变位系数 0.1 0.18 0.12 表 2 行星齿轮箱特征阶次
Table 2. Planetary gearbox feature orders
齿轮啮合阶次Om 太阳轮转频阶次Os 太阳轮故障阶次Osr 行星架转频阶次Oc 84× 5× 4× 1× -
[1] 雷亚国, 何正嘉, 林京, 等. 行星齿轮箱故障诊断技术的研究进展[J]. 机械工程学报, 2011, 47(19): 59-67. https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201119010.htmLEI Y G, HE Z J, LIN J, et al. Research advances of fault diagnosis technique for planetary gearboxes[J]. Journal of Mechanical Engineering, 2011, 47(19): 59-67. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201119010.htm [2] 吴守军, 冯辅周, 吴春志, 等. 复合行星轮系故障诊断方法研究进展[J]. 机械科学与技术, 2019, 38(12): 1910-1920. doi: 10.13433/j.cnki.1003-8728.20190045WU S J, FENG F Z, WU C Z, et al. Research progress on fault diagnosis methods of compound planetary gear train[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(12): 1910-1920. (in Chinese) doi: 10.13433/j.cnki.1003-8728.20190045 [3] 孙国栋, 王俊豪, 徐昀, 等. CEEMD-WVD多尺度时频图像的滚动轴承故障诊断[J]. 机械科学与技术, 2020, 39(5): 688-694. doi: 10.13433/j.cnki.1003-8728.20190192SUN G D, WANG J H, XU Y, et al. Rolling bearing fault diagnosis based on CEEMD-WVD multi-scale time-frequency image[J]. Mechanical Science and Technology for Aerospace Engineering, 2020, 39(5): 688-694. (in Chinese) doi: 10.13433/j.cnki.1003-8728.20190192 [4] MOUSTAFA W, COUSINARD O, BOLAERS F, et al. Low speed bearings fault detection and size estimation using instantaneous angular speed[J]. Journal of Vibration and Control, 2016, 22(15): 3413-3425. doi: 10.1177/1077546314560600 [5] 冯志鹏, 赵镭镭, 褚福磊. 行星齿轮箱齿轮局部故障振动频谱特征[J]. 中国电机工程学报, 2013, 33(5): 119-127. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDC201305018.htmFENG Z P, ZHAO L L, CHU F L. Vibration spectral characteristics of localized gear fault of planetary gearboxes[J]. Proceedings of the CSEE, 2013, 33(5): 119-127. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDC201305018.htm [6] ZENG Q, FENG G J, SHAO Y M, et al. Planetary gear fault diagnosis based on an instantaneous angular speed measurement system with a dual detector setup[J]. IEEE Access, 2020, 8: 66228-66242. doi: 10.1109/ACCESS.2020.2985170 [7] LI B, ZHANG X N, WU J L. New procedure for gear fault detection and diagnosis using instantaneous angular speed[J]. Mechanical Systems and Signal Processing, 2017, 85: 415-428. doi: 10.1016/j.ymssp.2016.08.036 [8] BOURDON A, CHESNÉ S, ANDRÉ H, et al. Reconstruction of angular speed variations in the angular domain to diagnose and quantify taper roller bearing outer race fault[J]. Mechanical Systems and Signal Processing, 2019, 120: 1-15. doi: 10.1016/j.ymssp.2018.09.040 [9] 刘振, 孔德同, 赵明, 等. 裂纹损伤行星轮系的编码器信号响应特性[J]. 西安交通大学学报, 2020, 54(2): 43-50. https://www.cnki.com.cn/Article/CJFDTOTAL-XAJT202002006.htmLIU Z, KONG D T, ZHAO M, et al. Encoder signal response characteristics of planetary gear sets with cracks[J]. Journal of Xi′an Jiaotong University, 2020, 54(2): 43-50. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAJT202002006.htm [10] FENG Z P, GAO A R, LI K Q, et al. Planetary gearbox fault diagnosis via rotary encoder signal analysis[J]. Mechanical Systems and Signal Processing, 2021, 149: 107325. doi: 10.1016/j.ymssp.2020.107325 [11] ZHAO M, LIN J, MIAO Y H, et al. Detection and recovery of fault impulses via improved harmonic product spectrum and its application in defect size estimation of train bearings[J]. Measurement, 2016, 91: 421-439. doi: 10.1016/j.measurement.2016.05.068 [12] ANTONI J. Fast computation of the kurtogram for the detection of transient faults[J]. Mechanical Systems and Signal Processing, 2007, 21(1): 108-124. doi: 10.1016/j.ymssp.2005.12.002 [13] 郭瑜, 秦树人. 无转速计旋转机械升降速振动信号零相位阶比跟踪滤波[J]. 机械工程学报, 2004, 40(3): 50-54. https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB200403010.htmGUO Y, QIN S R. Tacholess order tracking filtering for run-up or coast down vibration signal of rotating machinery based on zero-phase distortion digital filtering[J]. Chinese Journal of Mechanical Engineering, 2004, 40(3): 50-54. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB200403010.htm [14] 陶刚. 基于FPGA的伺服电机测速与控制系统研究[D]. 上海: 上海交通大学, 2013.TAO G. Research of speed measurement algoruthm based on FPGA and system control for servo motor[D]. Shanghai: Shanghai Jiao Tong University, 2013. (in Chinese) [15] 徐张旗. 基于卡尔曼滤波的增量式光电编码器测速方法的研究[D]. 合肥: 中国科学技术大学, 2018.XU Z Q. Research on the velocity measurement method of incremental encoder based on kalman filter[D]. Hefei: University of Science and Technology of China, 2018. (in Chinese)