Flexibility Curvature Eigenvalue Method for Debonding Damage Identification of Unit Slab Track
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摘要: 为了实现对CRTS Ⅲ板式无砟轨道结构中轨道板板底脱空伤损的识别和定位，首先通过轨道结构模型的模态分析，获取其结构的柔度矩阵，结合高斯曲率和降噪数据处理构建柔度曲率特征值矩阵，利用非伤损区域内反映不规则突起对伤损定位影响的准确性指标和反映识别伤损范围的有效性指标得到合理的测点密度，最后建立多种伤损工况，研究该指标识别的应用范围. 研究结果表明：已脱空轨道板的柔度曲率特征值在伤损区域内存在明显突起，且峰值位置与伤损区域中心吻合，可在无基准参数下有效识别CRTS Ⅰ及CRTS Ⅲ型两种材料性能不同的单元板式轨道板底的隐蔽伤损；针对板底大于0.4 m × 0.4 m的脱空伤损，采用测点密度为0.2 m时有利于降低噪声对伤损定位准确性的影响，提高伤损范围识别的有效性；当轨道板底伤损区域边长大于0.3 m时，可利用柔度曲率特征值进行伤损识别和定位；轨道板柔度曲率最大绝对值随脱空尺寸变大而增加，二者基本呈线性关系，结合柔度曲率特征值的可视化图形可进行伤损面积识别.Abstract: In order to identify and locate the debondingdamage on the bottom of the CRTS Ⅲ ballastless trackslab, firstly, the flexibility matrix of the track structure is obtained by its modal analysis, and the flexibility curvature eigenvalue matrixis constructed with the use of the noise reduction data processing and Gaussian curvature. According to the accuracy index that can reflect how irregular protrusions in the non-damage area affect the damage location and the effectiveness index that can identify the damage range, the reasonable density of measuring points is obtained. A variety of damage conditions are established to study the scope of applying the indexes for identification.The results show that the flexible curvature eigenvalue of the track slab with the debonding damage has obvious jump in the damaged area; and its peak value corresponds to the center of the damaged area, which can effectively identify the hidden damage at the bottom of the unit plate track plates of CRTS Ⅰ and type Ⅲ of different material properties. Aiming at the debonding damage of the slab bottom larger than 0.4 m × 0.4 m, the measurement point density of 0.2 m is conducive to reducing the impact of noise on damage location and improving damage scope identification. When the side length of the damaged area at the bottom of the track slab is larger than 0.3 m, the flexibility curvature eigenvalue can accurately identify and locate the damage. The maximum absolute value of the flexibility curvature of the track slab increases with the debonding size, and they have a nearly linear relationship. Thus, with the visual graph of the flexibility curvature eigenvalue, the damage area can be identified.
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Key words:
- high-speed railway /
- nondestructive testing /
- ballastless track /
- debonding of slab bottom /
- flexibility
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图 1 轨道板底单伤损区域及测点布置（单位：m）
Figure 1. Single-damaged area of slab bottom and measuring point layout (unit: m)
图 2 不同模态截断数时轨道板柔度曲率
Figure 2. Flexibility curvature of track slab at different modal truncations
图 3 单伤损轨道板的前1阶柔度曲率
Figure 3. First-order flexibility curvature of track slab with single damage
图 4 CRTS Ⅲ型板单伤损轨道板的柔度曲率特征矩阵
Figure 4. Flexibility curvature eigenvalue matrix of CRTS Ⅲ ballastless track slab with single damage
图 5 CRTS Ⅲ型板中柔度曲率特征矩阵单伤损识别定位
Figure 5. Identification and localization of single damage in CRTS Ⅲ ballastless track slabby flexibility curvature eigenvalue matrix
图 6 CRTS Ⅰ型板单伤损轨道板的柔度曲率特征矩阵
Figure 6. Flexibility curvature eigenvalue matrix of CRTSⅠballastless track slab with single damage
图 7 CRTS Ⅰ型板中柔度曲率特征矩阵单伤损识别定位
Figure 7. Identification and localization of single damage in CRTSⅠballastless track slabby flexibility curvature eigenvalue matrix
图 8 不同测点密度时柔度曲率特征矩阵
Figure 8. Flexibility curvature eigenvalue matrix at different densities of measuring points
图 9 测点密度
$l=0.10\;\rm{m}$ 时特征值$ t $ 提取示意Figure 9. Eigenvalue
$t $ extracted with density of measuring points$l=0.1\;\rm{m}$ -
宋小林,吕天航,裴承杰. 板边离缝对CRTS Ⅲ型轨道-路基动力特性的影响[J]. 西南交通大学学报,2018,53(5): 913-920. doi: 10.3969/j.issn.0258-2724.2018.05.006SONG Xiaolin, LYU Tianhang, PEI Chengjie. Influence of interface crack on impact dynamic properties of CRTS Ⅲ slab track-subgrade system[J]. Journal of Southwest Jiaotong University, 2018, 53(5): 913-920. doi: 10.3969/j.issn.0258-2724.2018.05.006 VANDIVER J K. Detection of structural failure on fixed platforms by measurement of dynamic response[J]. Journal of Petroleum Technology, 1977, 29(3): 305-310. doi: 10.2118/5679-PA ADAMS R D, CAWLEY P, PYE C J, et al. A vibration technique for non-destructively assessing the integrity of structures[J]. Journal of Mechanical Engineering Science, 1978, 20(2): 93-100. doi: 10.1243/JMES_JOUR_1978_020_016_02 CHANDRASHEKHAR M, GANGULI R. Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic[J]. Journal of Sound and Vibration, 2009, 326(3/4/5): 939-957. ROY K, RAY-CHAUDHURI S. Fundamental mode shape and its derivatives in structural damage localization[J]. Journal of Sound and Vibration, 2013, 332(21): 5584-5593. doi: 10.1016/j.jsv.2013.05.003 DIXIT A, HANAGUD S. Single beam analysis of damaged beams verified using a strain energy based damage measure[J]. International Journal of Solids and Structures, 2011, 48(3/4): 592-602. PHILIPS ADEWUYI A, WU Z S, KAMMRUJAMAN SERKER N H M. Assessment of vibration-based damage identification methods using displacement and distributed strain measurements[J]. Structural Health Monitoring, 2009, 8(6): 443-461. doi: 10.1177/1475921709340964 CADDEMI S, CALIÒ I. The exact explicit dynamic stiffness matrix of multi-cracked Euler-Bernoulli beam and applications to damaged frame structures[J]. Journal of Sound and Vibration, 2013, 332(12): 3049-3063. doi: 10.1016/j.jsv.2013.01.003 PANDEY A K, BISWAS M. Damage detection in structures using changes in flexibility[J]. Journal of Sound and Vibration, 1994, 169(1): 3-17. doi: 10.1006/jsvi.1994.1002 余云燕,鲍亦兴,陈云敏. 基于回传射线矩阵法框架结构的损伤检测研究[J]. 土木工程学报,2005,38(3): 53-58,69. doi: 10.3321/j.issn:1000-131X.2005.03.009YU Yunyan, BAO Yixing, CHEN Yunmin. Damage detection of frame structures based on the reverbera tion matrix method[J]. China Civil Engineering Journal, 2005, 38(3): 53-58,69. doi: 10.3321/j.issn:1000-131X.2005.03.009 ANTONACI P, BRUNO C L E, GLIOZZI A S, et al. Monitoring evolution of compressive damage in concrete with linear and nonlinear ultrasonic methods[J]. Cement and Concrete Research, 2010, 40(7): 1106-1113. doi: 10.1016/j.cemconres.2010.02.017 MITRA M, GOPALAKRISHNAN S. Guided wave based structural health monitoring:a review[J]. Smart Materials and Structures, 2016, 25(5): 053001.1-053001.29. 李淑春,刁波,郑晓宁,等. 钢筋混凝土截面损伤分析与检测[J]. 铁道科学与工程学报,2008,5(1): 11-15. doi: 10.3969/j.issn.1672-7029.2008.01.003LI Shuchun, DIAO Bo, ZHENG Xiaoning, et al. Damage evaluation and detection on reinforced concrete section[J]. Journal of Railway Science and Engineering, 2008, 5(1): 11-15. doi: 10.3969/j.issn.1672-7029.2008.01.003 KIM J T, RYU Y S, CHO H M, et al. Damage identification in beam-type structures:frequency-based method vs mode-shape-based method[J]. Engineering Structures, 2003, 25(1): 57-67. doi: 10.1016/S0141-0296(02)00118-9 DAWARI V B, VESMAWALA G R. Modal curvature and modal flexibility methods for honeycomb damage identification in reinforced concrete beams[J]. Procedia Engineering, 2013, 51: 119-124. doi: 10.1016/j.proeng.2013.01.018 WU N, WANG Q. Experimental studies on damage detection of beam structures with wavelet transform[J]. International Journal of Engineering Science, 2011, 49(3): 253-261. doi: 10.1016/j.ijengsci.2010.12.004 李永梅,周锡元,高向宇,等. 柔度曲率法对梁结构的损伤诊断[J]. 北京工业大学学报,2008,34(11): 1173-1178.LI Yongmei, ZHOU Xiyuan, GAO Xiangyu, et al. Damage diagnosis of beam structures by flexibility curvature method[J]. Journal of Beijing University of Technology, 2008, 34(11): 1173-1178. 马骏,陈立,赵德有. 基于柔度曲率矩阵的加筋板结构损伤识别方法[J]. 船舶力学,2011,15(8): 881-891. doi: 10.3969/j.issn.1007-7294.2011.08.008MA Jun, CHEN Li, ZHAO Deyou. Damage detection in stiffened panel based on flexibility curvature matrix[J]. Journal of Ship Mechanics, 2011, 15(8): 881-891. doi: 10.3969/j.issn.1007-7294.2011.08.008 CHEN Li, MA Jun, ZHAO Deyou, et al. Curvature of flexibility matrix for damage identification in legs of jacket platforms[J]. China Ocean Engineering, 2008, 22(4): 547-559. NIE Z H, HAO H, MA H W. Structural damage detection based on the reconstructed phase space for reinforced concrete slab:experimental study[J]. Journal of Sound and Vibration, 2013, 332(4): 1061-1078. doi: 10.1016/j.jsv.2012.08.024 XU H, CHENG L, SU Z Q, et al. Damage visualization based on local dynamic perturbation:theory and application to characterization of multi-damage in a plane structure[J]. Journal of Sound and Vibration, 2013, 332(14): 3438-3462. doi: 10.1016/j.jsv.2013.01.033 XU J, WANG P, LIU H, et al. Identification of internal damage in ballastless tracks based on Gaussian curvature mode shapes[J]. Journal of Vibroengineering, 2016, 18(8): 5217-5229. doi: 10.21595/jve.2016.17712 陈立. 基于柔度曲率矩阵的结构损伤识别研究[D]. 大连: 大连理工大学, 2009. 周奎,徐宏文,方早,等. 基于柔度曲率曲线拟合的薄板结构损伤识别研究[J]. 上海理工大学学报,2018,40(3): 296-301.ZHOU Kui, XU Hongwen, FANG Zao, et al. Damage identification of thin plate-type structures based on the flexibility curvature curve fitting[J]. Journal of University of Shanghai for Science and Technology, 2018, 40(3): 296-301. -
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