{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T11:36:12Z","timestamp":1768908972282,"version":"3.49.0"},"reference-count":34,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T00:00:00Z","timestamp":1593561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["TRA2017-86355-C2-1-R"],"award-info":[{"award-number":["TRA2017-86355-C2-1-R"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a multibody dynamic model of a railway vehicle that assumes that vertical and lateral dynamics are weakly coupled, has been experimentally validated using an instrumented scaled vehicle running on a 5-inch-wide experimental track. The proposed linearised model treats the vertical and lateral dynamics of the multibody system almost independently, being coupled exclusively by the suspension forces. Several experiments have been carried out at the scaled railroad facilities at the University of Seville in order to test and validate the simulation model under different working conditions. The scaled vehicle used in the experiments is a bogie instrumented with various sensors that register the accelerations and angular velocities of the vehicle, its forward velocity, its position along the track, and the wheel\u2013rail contact forces in the front wheelset. The obtained results demonstrate how the proposed computational model correctly reproduces the dynamics of the real mechanical system in an efficient computational manner.<\/jats:p>","DOI":"10.3390\/s20133700","type":"journal-article","created":{"date-parts":[[2020,7,2]],"date-time":"2020-07-02T02:44:25Z","timestamp":1593657865000},"page":"3700","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Application and Experimental Validation of a Multibody Model with Weakly Coupled Lateral and Vertical Dynamics to a Scaled Railway Vehicle"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1132-8453","authenticated-orcid":false,"given":"Pedro","family":"Urda","sequence":"first","affiliation":[{"name":"Department of Mechanical and Manufacturing Engineering, University of Seville, 41092 Sevilla, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6003-622X","authenticated-orcid":false,"given":"Sergio","family":"Mu\u00f1oz","sequence":"additional","affiliation":[{"name":"Department of Materials and Transportation Engineering, University of Seville, 41092 Sevilla, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5994-3973","authenticated-orcid":false,"given":"Javier F.","family":"Aceituno","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Mining Engineering, University of Ja\u00e9n, 23071 Ja\u00e9n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5366-5802","authenticated-orcid":false,"given":"Jos\u00e9 L.","family":"Escalona","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Manufacturing Engineering, University of Seville, 41092 Sevilla, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,1]]},"reference":[{"key":"ref_1","unstructured":"EN-14363 (2016). Railway Applications\u2013Testing and Simulation for the Acceptance of Running Characteristics of Railway Vehicles\u2013Running Behaviour and Stationary Tests, CEN."},{"key":"ref_2","unstructured":"UIC-518 (2009). Testing and Approval of Railway Vehicles from the Point of View of Their Dynamic Behaviour-Safety-Track Fatigue-Running Behaviour, International Union of Railways."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1080\/00423114.2014.881515","article-title":"A new approach to define criteria for rail vehicle model validation","volume":"52","author":"Polach","year":"2014","journal-title":"Veh. Syst. Dyn."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11044-020-09735-z","article-title":"State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches","volume":"49","author":"Bruni","year":"2020","journal-title":"Multibody Syst. Dyn."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/j.ijmecsci.2018.01.020","article-title":"Multibody simulation of railway vehicles with contact lookup tables","volume":"155","author":"Escalona","year":"2019","journal-title":"Int. J. Mech. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s11044-019-09708-x","article-title":"Railroad multibody simulation with the knife-edge-equivalent wheel-rail constraint equations","volume":"48","author":"Escalona","year":"2019","journal-title":"Multibody Syst. Dyn."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1016\/j.ymssp.2018.06.019","article-title":"Multibody model of railway vehicles with weakly coupled vertical and lateral dynamics","volume":"115","author":"Aceituno","year":"2019","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1080\/00423110601079151","article-title":"An inverse railway wagon model and its applications","volume":"45","author":"Xia","year":"2007","journal-title":"Veh. Syst. Dyn."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Wickens, A. (2003). Fundamentals of Rail Vehicle Dynamics. Guidance and Stability, Swets and Zeitlinger Publishers.","DOI":"10.1201\/9780203970997"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Iwnicki, S. (2006). Handbook of Railway Vehicle Dynamics, Taylor and Francis Group.","DOI":"10.1201\/9781420004892"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Shabana, A.A., Zaazaa, K.E., and Sugiyama, H. (2007). Railroad Vehicle Dynamics. A Computational Approach, Taylor and Francis Group.","DOI":"10.1201\/9781420045857"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Lombaert, G., Degrande, G., Kogut, J., and Fran\u00e7ois, S. (2006). The experimental validation of a numerical model for the prediction of railway induced vibrations. J. Sound Vib., 512\u2013535.","DOI":"10.1016\/j.jsv.2006.03.048"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Gupta, S., Degrande, G., and Lombaert, G. (2008). Experimental Validation of a Numerical Model for Subway Induced Vibrations. Noise and Vibration Mitigation for Rail Transportation Systems, Springer.","DOI":"10.1007\/978-3-540-74893-9_15"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1480","DOI":"10.1080\/00423114.2015.1054406","article-title":"An approach for the validation of railway vehicle models based on on-track measurements","volume":"53","author":"Kraft","year":"2015","journal-title":"Veh. Syst. Dyn."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1076\/vesd.31.5.345.8360","article-title":"The Application of Roller Rigs to Railway Vehicle Dynamics","volume":"31","author":"Jaschinski","year":"1999","journal-title":"Veh. Syst. Dyn."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/S0043-1648(02)00086-8","article-title":"Wheel\/rail adhesion and analysis by using full scale roller rig","volume":"253","author":"Zhang","year":"2002","journal-title":"Wear"},{"key":"ref_17","unstructured":"Kim, M., Park, J.H., and You, W.H. (, January December). Construction of active steering control system for the curving performance analysis of the scaled railway vehicle. Proceedings of the 7th Conference on Circuits, Systems, Electronics, Control and Signal Processing, Wisconsin, WI, USA. Available online: https:\/\/pdfs.semanticscholar.org\/85a8\/471aa3a39dd9ecc52308b1306dd280fc143c.pdf."},{"key":"ref_18","first-page":"296","article-title":"Application of Braking\/Traction Control Systems to the Scaled Active Steering Testbed in the Railway Vehicle","volume":"4","author":"Kim","year":"2009","journal-title":"WSEAS Trans. Syst. Control"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s11012-008-9128-4","article-title":"Simulation of narrow gauge railway vehicles and experimental validation by mean of scaled tests on roller rig","volume":"43","author":"Bosso","year":"2008","journal-title":"Meccanica"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1080\/00423119808969451","article-title":"Validation of a MATLAB Railway Vehicle Simulation Using a Scale Roller Rig","volume":"30","author":"Iwnicki","year":"1998","journal-title":"Veh. Syst. Dyn."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Ros, J., Plaza, A., Iriarte, X., and Pintor, J.M. (2018). Symbolic multibody methods for real-time simulation of railway vehicles. Multibody Syst. Dyn., 469\u2013493.","DOI":"10.1007\/s11044-017-9608-1"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Matsumoto, A., Sato, Y., Ohno, H., Tomeoka, M., Matsumoto, K., Kurihara, J., Ogino, T., Tanimoto, M., Kishimoto, Y., and Sato, Y. (2006, January 29\u201330). A New Monitoring Method of Train Derailment Coefficient. Proceedings of the 2006 IET International Conference On Railway Condition Monitoring, Birmingham, UK.","DOI":"10.1049\/ic:20060058"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1080\/00423110600882787","article-title":"Effects that appear during the derailment of one wheelset in the freight wagon: Simulation and testing","volume":"44","author":"Boronenko","year":"2006","journal-title":"Veh. Syst. Dyn."},{"key":"ref_24","first-page":"31","article-title":"Derailment detector systems for CFF\/SBB rolling stock","volume":"31","author":"Hubacher","year":"2000","journal-title":"Rail Int."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Charles, G., Goodall, R., and Dixon, R. (2006, January 29\u201330). Wheel-rail profile estimation. Proceedings of the Conference on Railway Condition Monitoring, Birmingham, UK.","DOI":"10.1049\/ic:20060039"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1109\/TSMCC.2007.893278","article-title":"A Real-Time Visual Inspection System for Railway Maintenance: Automatic Hexagonal-Headed Bolts Detection","volume":"37","author":"Marino","year":"2007","journal-title":"IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.)"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Urda, P., Mu\u00f1oz, S., Aceituno, J.F., and Escalona, J.L. (2020). Wheel-rail contact force measurement using strain gauges and distance lasers on a scaled railway vehicle. Mech. Syst. Signal Process., 106555.","DOI":"10.1016\/j.ymssp.2019.106555"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Aceituno, J.F., Urda, P., Briales, E., and Escalona, J.L. (2020). Analysis of the two-point wheel-rail contact scenario using the knife-edge-equivalent contact constraint method. Mech. Mach. Theory, 103803.","DOI":"10.1016\/j.mechmachtheory.2020.103803"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Hunt, K., and Crossley, E. (1975). Coefficient of restitution interpreted as damping in vibroimpact. J. Appl. Mech.","DOI":"10.1115\/1.3423596"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1080\/23248378.2017.1412839","article-title":"Verification and validation of simulations in a rail vehicle certification context","volume":"6","author":"Gotz","year":"2018","journal-title":"Int. J. Rail Transp."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.mechmachtheory.2017.04.015","article-title":"On the design of a scaled railroad vehicle for the validation of computational models","volume":"115","author":"Aceituno","year":"2017","journal-title":"Mech. Mach. Theory"},{"key":"ref_32","unstructured":"Esveld, C. (2001). Modern Railway Track, MRT-Productions."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1080\/00423114.2017.1403634","article-title":"Correlation of track irregularities and vehicle responses based on measured data","volume":"56","author":"Karis","year":"2018","journal-title":"Veh. Syst. Dyn."},{"key":"ref_34","unstructured":"Wickens, A. (2005). Fundamentals of Rail Vehicle Dynamics, CRC Press."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/13\/3700\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:46:08Z","timestamp":1760175968000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/13\/3700"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,1]]},"references-count":34,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2020,7]]}},"alternative-id":["s20133700"],"URL":"https:\/\/doi.org\/10.3390\/s20133700","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,1]]}}}