{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T06:57:45Z","timestamp":1782889065941,"version":"3.54.5"},"reference-count":34,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T00:00:00Z","timestamp":1705536000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research and Development Plan","award":["2023YFB3712400"],"award-info":[{"award-number":["2023YFB3712400"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Focusing on the problem of strip shape quality control in the finishing process of hot rolling, a shape model based on metal flow and stress release with the application of varying contact rolling parameters is introduced. Combined with digital twin technology, the digital twin framework of the shape model is proposed, which realizes the deep integration between physical time\u2013space and virtual time\u2013space. With the utilization of the historical data, the parameters are optimized iteratively to complete the digital twin of the shape model. According to the schedule, the raw material information is taken as the input to obtain the simulation of the strip shape, which shows a variety of export shape conditions. The prediction absolute error of the crown and flatness are less than 5 \u03bcm and 5 I-unit, respectively. The results prove that the proposed shape simulation model with strong prediction performance can be effectively applied to hot rolling production. In addition, the proposed model provides operators with a reference for the parameter settings for actual production and promotes the intelligent application of a shape control strategy.<\/jats:p>","DOI":"10.3390\/s24020614","type":"journal-article","created":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T05:52:03Z","timestamp":1705557123000},"page":"614","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Modeling and Simulation of Shape Control Based on Digital Twin Technology in Hot Strip Rolling"],"prefix":"10.3390","volume":"24","author":[{"given":"Youzhao","family":"Sun","sequence":"first","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"},{"name":"Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingdong","family":"Li","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"},{"name":"Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yamin","family":"Sun","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lebao","family":"Song","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"},{"name":"Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Quan","family":"Yang","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"},{"name":"Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaochen","family":"Wang","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Flat Rolling Equipment, University of Science and Technology Beijing, Beijing 100083, China"},{"name":"Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,18]]},"reference":[{"key":"ref_1","first-page":"271","article-title":"Industrial application of the HCX-MILL to hot strip mills","volume":"45","author":"Ono","year":"1996","journal-title":"Hitachi Rev."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"594","DOI":"10.2355\/isijinternational.31.594","article-title":"Shape controllability in new 6-high mill (UC-4 mill) with small diameter work rolls","volume":"31","author":"Yasuda","year":"1991","journal-title":"ISIJ Int."},{"key":"ref_3","first-page":"32","article-title":"Continuously variable crown (CVC) rolling","volume":"64","author":"Bald","year":"1987","journal-title":"Iron Steel Eng."},{"key":"ref_4","first-page":"32","article-title":"Expansion of pair cross mill applications to hot and cool rolling mills","volume":"70","author":"Aratani","year":"1993","journal-title":"Iron Steel Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"327","DOI":"10.2507\/IJSIMM15(2)CO6","article-title":"Research on crown & flatness allocation strategy of hot rolling mills","volume":"15","author":"Sun","year":"2016","journal-title":"Int. J. Simul. Model."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1007\/s00170-014-6544-6","article-title":"Investigations on relations between shape defects and thickness profile variations in thin flat rolling","volume":"77","author":"Moazeni","year":"2014","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1371","DOI":"10.1007\/s00170-017-0204-6","article-title":"Analysis of symmetrical flatness actuator efficiencies for UCM cold rolling mill by 3d elastic\u2013plastic FEM","volume":"92","author":"Wang","year":"2017","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_8","first-page":"517","article-title":"Advanced measurement and flatness control for hot strip mills","volume":"99","author":"Jelali","year":"2002","journal-title":"Metall. Res. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2725","DOI":"10.1007\/s00170-016-9910-8","article-title":"The effects of lubrication on profile and flatness control during ASR hot strip rolling","volume":"91","author":"Li","year":"2017","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1007\/s42243-023-00935-3","article-title":"A novel mechanism fusion data control method for slab camber in hot rolling","volume":"30","author":"Song","year":"2023","journal-title":"J. Iron Steel Res. Int."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"110670","DOI":"10.1016\/j.asoc.2023.110670","article-title":"Prediction of strip section shape for hot-rolled based on mechanism fusion data model","volume":"146","author":"Ji","year":"2023","journal-title":"Appl. Soft Comput."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1007\/s00170-022-08825-w","article-title":"Application of machine learning to predict and diagnose for hot-rolled strip crown","volume":"120","author":"Song","year":"2022","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.jmsy.2023.09.007","article-title":"A high-precision and transparent step-wise diagnostic framework for hot-rolled strip crown","volume":"71","author":"Ding","year":"2023","journal-title":"J. Manuf. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/j.jmsy.2020.01.007","article-title":"A review on the characteristics of cyber-physical systems for the future smart factories","volume":"54","author":"Napoleone","year":"2020","journal-title":"J. Manuf. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.mfglet.2018.09.002","article-title":"Industrial artificial intelligence for industry 4.0-based manufacturing systems","volume":"18","author":"Lee","year":"2018","journal-title":"Manuf. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1016\/j.jmsy.2020.06.010","article-title":"Smart manufacturing process and system automation-a critical review of the standards and envisioned scenarios","volume":"56","author":"Lu","year":"2020","journal-title":"J. Manuf. Syst."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.mfglet.2020.04.004","article-title":"Framework for a digital twin in manufacturing: Scope and requirements","volume":"24","author":"Shao","year":"2020","journal-title":"Manuf. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"101917","DOI":"10.1016\/j.rcim.2019.101917","article-title":"Digital twin-enabled graduation intelligent manufacturing system for fixed-position assembly islands","volume":"63","author":"Guo","year":"2020","journal-title":"Robot. Comput. Integr. Manuf."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.jmsy.2020.04.013","article-title":"Digital twin-based smart assembly process design and application framework for complex products and its case study","volume":"58","author":"Yi","year":"2021","journal-title":"J. Manuf. Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"101839","DOI":"10.1016\/j.rcim.2019.101839","article-title":"A digital twin-driven approach for the assembly-commissioning of high precision products","volume":"61","author":"Sun","year":"2020","journal-title":"Robot. Comput. Integr. Manuf."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.jmsy.2020.05.011","article-title":"Digital twin-based assembly data management and process traceability for complex products","volume":"58","author":"Zhuang","year":"2020","journal-title":"J. Manuf. Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1016\/j.cirp.2019.04.011","article-title":"Digital twin driven human-robot collaborative assembly","volume":"68","author":"Bilberg","year":"2019","journal-title":"CIRP Ann. Manuf. Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"101892","DOI":"10.1016\/j.rcim.2019.101892","article-title":"Digital twin-based opti-state control method for a synchronized production operation system","volume":"63","author":"Zhang","year":"2020","journal-title":"Robot. Comput. Integr. Manuf."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"101853","DOI":"10.1016\/j.rcim.2019.101853","article-title":"Representing financial data streams in digital simulations to support data flow design for a future Digital Twin","volume":"61","author":"Murphy","year":"2020","journal-title":"Robot. Comput. Integr. Manuf."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/j.actamat.2017.06.039","article-title":"Building blocks for a digital twin of additive manufacturing","volume":"135","author":"Knapp","year":"2017","journal-title":"Acta Mater."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.jmsy.2020.10.002","article-title":"Deep learning-empowered digital twin for visualized weld joint growth monitoring and penetration control","volume":"57","author":"Wang","year":"2020","journal-title":"J. Manuf. Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1007\/s10845-019-01500-0","article-title":"Real-time machining data application and service based on IMT digital twin","volume":"31","author":"Tong","year":"2020","journal-title":"J. Intell. Manuf."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/j.cirp.2020.04.047","article-title":"In-process digital twin estimation for high-performance machine tools with coupled multibody dynamics","volume":"69","author":"Wang","year":"2020","journal-title":"CIRP Ann. Manuf. Technol."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.cirp.2018.04.055","article-title":"Digital twin driven prognostic and health management for complex equipment","volume":"67","author":"Tao","year":"2018","journal-title":"CIRP Ann. Manuf. Technol."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"101974","DOI":"10.1016\/j.rcim.2020.101974","article-title":"A hybrid predictive maintenance approach for CNC machine tool driven by Digital Twin","volume":"65","author":"Luo","year":"2020","journal-title":"Robot. Comput. Integr. Manuf."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"381","DOI":"10.14257\/ijmue.2016.11.4.38","article-title":"Design and shape control ability simulation of new generation varying contact length backup roll in hot rolling","volume":"11","author":"Sun","year":"2016","journal-title":"Int. J. Multimed. Ubiquitous Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S1006-706X(15)60028-0","article-title":"Rectangular section control technology for silicon steel rolling","volume":"22","author":"Wang","year":"2015","journal-title":"J. Iron Steel Res. Int."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.jmatprotec.2018.10.005","article-title":"High precision shape model and presetting strategy for strip hot rolling","volume":"265","author":"Zhao","year":"2018","journal-title":"J. Mater. Process Technol."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.msea.2007.04.041","article-title":"The effect of Nb on recrystallization behavior of a Nb micro-alloyed steel","volume":"474","author":"Zhang","year":"2008","journal-title":"Mat. Sci. Eng. 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