{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T19:08:44Z","timestamp":1772910524430,"version":"3.50.1"},"reference-count":40,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T00:00:00Z","timestamp":1594944000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Nature Science Foundation of China","award":["U1734202"],"award-info":[{"award-number":["U1734202"]}]},{"name":"National Nature Science Foundation of China","award":["51977182"],"award-info":[{"award-number":["51977182"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The vibration of the catenary that is initiated by the passing pantograph has a direct influence on the pantograph\u2013catenary contact performance. Monitoring the dynamic uplift of the catenary can help inspectors to evaluate the railway operation conditions and investigate the mechanism of pantograph\u2013catenary interaction further. In this paper, a non-contact measurement method based on the deep leaning method is proposed to monitor the real-time vibration of the catenary. The field test for the catenary free vibration is designed to validate the method\u2019s performance. The measurement method is developed based on the fully convolutional Siamese neural network, and the contact wire is taken as the tracking target. To reduce the recognition errors caused by the changes in the shape and grayscale of the moving contact wire in images, the class-agnostic binary segmentation mask is adopted. A developed down-sampling block is used in the neural network to reduce the image feature loss, which effectively enhances the recognition effect for the catenary vibration under variable lighting conditions. To validate the performance of the proposed measurement method, a series of field tests of catenary free vibration were conducted under various lighting conditions and different excitations, and the recognition results were compared with traditional target tracking methods. The results show that the proposed method performs well for catenary vibration identification in the field test. Additionally, the uplift data extracted from the identified images agree with the numerical results, and also help to further investigate the wave propagation and damping characteristics in the catenary structure.<\/jats:p>","DOI":"10.3390\/s20143984","type":"journal-article","created":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T10:22:02Z","timestamp":1594981322000},"page":"3984","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["A Siamese Network-Based Non-Contact Measurement Method for Railway Catenary Uplift Trained in a Free Vibration Test"],"prefix":"10.3390","volume":"20","author":[{"given":"Fuchuan","family":"Duan","sequence":"first","affiliation":[{"name":"State Key Laboratory of Traction Power and School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China"}]},{"given":"Zhigang","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Traction Power and School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8396-5710","authenticated-orcid":false,"given":"Donghai","family":"Zhai","sequence":"additional","affiliation":[{"name":"School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China"}]},{"given":"Anders","family":"R\u00f8nnquist","sequence":"additional","affiliation":[{"name":"Department of Structural Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1080\/00423114.2016.1156134","article-title":"Nonlinear analysis of wind-induced vibration of high-speed railway catenary and its influence on pantograph\u2013catenary interaction","volume":"54","author":"Song","year":"2016","journal-title":"Veh. Syst. Dyn."},{"key":"ref_2","unstructured":"(2006). EN 50367: Railway Applications-Current Collection Systems-Technical Criteria for the Interaction between Pantograph and Overhead Line, CENELEC."},{"key":"ref_3","unstructured":"(2001). EN 50317: The European Standard, Railway Applications-Current Collection Systems- Requirements for and Validation of Measurements of the Dynamic Interaction between Pantograph and Overhead Contact Line, CENELEC."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.engstruct.2014.04.015","article-title":"A 3D absolute nodal coordinate finite element model to compute the initial configuration of a railway catenary","volume":"71","author":"Tur","year":"2014","journal-title":"Eng. Struct."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1177\/0954409718808990","article-title":"Static form-finding of normal and defective catenaries based on the analytical exact solution of the tensile Euler\u2013Bernoulli beam","volume":"233","author":"Vesali","year":"2019","journal-title":"J. Rail Rapid Transit"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.finel.2016.02.007","article-title":"Parametric model for the simulation of the railway catenary system static equilibrium problem","volume":"115","author":"Gregori","year":"2016","journal-title":"Finite Elem. Anal. Des."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1080\/00423114.2016.1187278","article-title":"On the implementation of an auxiliary pantograph for speed increase on existing lines","volume":"54","author":"Liu","year":"2016","journal-title":"Veh. Syst. Dyn."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"011010","DOI":"10.1115\/1.4037521","article-title":"Study on wind-induced vibration behavior of railway catenary in spatial stochastic wind field based on nonlinear finite element procedure","volume":"140","author":"Song","year":"2018","journal-title":"J. Vib. Acoust."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Song, Y., Liu, Z., Ronnquist, A., Navik, P., and Liu, Z. (2020). Contact Wire Irregularity Stochastics and Effect on High-speed Railway Pantograph-Catenary Interactions. IEEE Trans. Instrum. Meas.","DOI":"10.1109\/TIM.2020.2987457"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.compstruc.2013.01.015","article-title":"Environmental and track perturbations on multiple pantograph interaction with catenaries in high-speed trains","volume":"124","author":"Pombo","year":"2013","journal-title":"Comput. Struct."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"10607","DOI":"10.1109\/TVT.2019.2943376","article-title":"Random response analysis of axle-box bearing of a high-speed train excited by crosswinds and track irregularities","volume":"68","author":"Wang","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1385","DOI":"10.1109\/TIM.2016.2518879","article-title":"Detection of contact wire irregularities using a quadratic time\u2013frequency representation of the pantograph\u2013catenary contact force","volume":"65","author":"Wang","year":"2016","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2339","DOI":"10.1177\/0954409718769751","article-title":"Analysis of the galloping behaviour of an electrified railway overhead contact line using the non-linear finite element method","volume":"232","author":"Song","year":"2018","journal-title":"J. Rail Rapid Transit"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.1080\/00423114.2014.922199","article-title":"Introduction of variability into pantograph\u2013catenary dynamic simulations","volume":"52","author":"Massat","year":"2014","journal-title":"Veh. Syst. Dyn."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.jsv.2015.03.051","article-title":"A moving mesh method to deal with cable structures subjected to moving loads and its application to the catenary\u2013pantograph dynamic interaction","volume":"349","author":"Carnicero","year":"2015","journal-title":"J. Sound Vib."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1080\/23248378.2018.1532330","article-title":"Developed moving mesh method for high-speed railway pantograph-catenary interaction based on nonlinear finite element procedure","volume":"7","author":"Song","year":"2019","journal-title":"Int. J. Rail Transp."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1080\/00423114.2015.1051548","article-title":"Nonlinear modelling of high-speed catenary based on analytical expressions of cable and truss elements","volume":"53","author":"Song","year":"2015","journal-title":"Veh. Syst. Dyn."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.finel.2017.01.007","article-title":"Fast simulation of the pantograph\u2013catenary dynamic interaction","volume":"129","author":"Gregori","year":"2017","journal-title":"Finite Elem. Anal. Des."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1080\/00423110500373721","article-title":"Dynamic analysis of a pantograph\u2013catenary system using absolute nodal coordinates","volume":"44","author":"Seo","year":"2006","journal-title":"Veh. Syst. Dyn."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.optlaseng.2012.08.007","article-title":"An approach to continuous on-site monitoring of contact forces in current collectors by a fiber optic sensing system","volume":"51","author":"Ecke","year":"2013","journal-title":"Opt. Lasers Eng."},{"key":"ref_21","unstructured":"Kolbe, M., Baldauf, W., and Tiffe, G. (2001). Compact Contact force Measurement System\u2013Online Diagnosis of the Overhead Line System with Regular Trains, WCRR."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.engstruct.2016.01.031","article-title":"Identification of system damping in railway catenary wire systems from full-scale measurements","volume":"113","author":"Stichel","year":"2016","journal-title":"Eng. Struct."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Wang, H., Liu, Z., N\u00fa\u00f1ez, A., and Dollevoet, R. (2017, January 22\u201325). Identification of the catenary structure wavelength using pantograph head acceleration measurements. Proceedings of the 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Turin, Italy.","DOI":"10.1109\/I2MTC.2017.7969731"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2841","DOI":"10.1109\/TIM.2018.2830862","article-title":"An accurate and efficient vision measurement approach for railway catenary geometry parameters","volume":"67","author":"Zhan","year":"2018","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1798","DOI":"10.1109\/TIM.2017.2666358","article-title":"A high-precision detection approach for catenary geometry parameters of electrical railway","volume":"66","author":"Liu","year":"2017","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1294","DOI":"10.1109\/TITS.2014.2361647","article-title":"Video-based dynamic stagger measurement of railway overhead power lines using rotation-invariant feature matching","volume":"16","author":"Cho","year":"2014","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"180935","DOI":"10.1109\/ACCESS.2019.2955707","article-title":"Novel Vision-Based Abnormal Behavior Localization of Pantograph-Catenary for High-Speed Trains","volume":"7","author":"Luo","year":"2019","journal-title":"IEEE Access"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1109\/TIM.2019.2905905","article-title":"A High-Precision Positioning Approach for Catenary Support Components With Multiscale Difference","volume":"69","author":"Liu","year":"2019","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1080\/00423114.2016.1172715","article-title":"Determining damping characteristics of railway-overhead-wire system for finite-element analysis","volume":"54","author":"Zou","year":"2016","journal-title":"Veh. Syst. Dyn."},{"key":"ref_30","unstructured":"Frseth, G.T., Nvik, P., and Rnnquist, A. (2016, January 5\u20138). Close Range Photogrammetry for Measuring the Response of a Railway Catenary System. Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance, Cagliari, Italy."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Bertinetto, L., Valmadre, J., Henriques, J.F., Vedaldi, A., and Torr, P.H.S. (2016). Fully-convolutional siamese networks for object tracking. European Conference on Computer Vision, Springer.","DOI":"10.1007\/978-3-319-48881-3_56"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Li, B., Yan, J., Wu, W., Zhu, Z., and Hu, X. (2018, January 18\u201322). High performance visual tracking with siamese region proposal network. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Salt Lake City, UT, USA.","DOI":"10.1109\/CVPR.2018.00935"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"He, K., Gkioxari, G., Doll\u00e1r, P., and Girshick, R. (2017, January 22\u201329). Mask r-cnn. Proceedings of the IEEE International Conference on Computer Vision, Venice, Italy.","DOI":"10.1109\/ICCV.2017.322"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"He, T., Zhang, Z., Zhang, H., Zhang, Z., Xie, J., and Li, M. (2019, January 16\u201320). Bag of tricks for image classification with convolutional neural networks. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Long Beach, CA, USA.","DOI":"10.1109\/CVPR.2019.00065"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.1109\/TVT.2019.2949122","article-title":"Fast beamforming design via deep learning","volume":"69","author":"Huang","year":"2019","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1109\/TIM.2017.2775345","article-title":"Automatic defect detection of fasteners on the catenary support device using deep convolutional neural network","volume":"67","author":"Chen","year":"2017","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_37","first-page":"1097","article-title":"ImageNet Classification with Deep Convolutional Neural Networks","volume":"25","author":"Krizhevsky","year":"2012","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref_38","unstructured":"He, K., Zhang, X., Ren, S., and Sun, J. (2019, January 16\u201320). Deep residual learning for image recognition. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Long Beach, CA, USA."},{"key":"ref_39","first-page":"1990","article-title":"Learning to segment object candidates","volume":"2","author":"Pinheiro","year":"2015","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.apm.2018.01.001","article-title":"Wave propagation analysis in high-speed railway catenary system subjected to a moving pantograph","volume":"59","author":"Song","year":"2018","journal-title":"Appl. Math. Model."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/14\/3984\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:49:26Z","timestamp":1760176166000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/14\/3984"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,17]]},"references-count":40,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2020,7]]}},"alternative-id":["s20143984"],"URL":"https:\/\/doi.org\/10.3390\/s20143984","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,17]]}}}