{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T06:30:46Z","timestamp":1762929046994,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T00:00:00Z","timestamp":1706140800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Foundation Research (Free Exploration) Youth Program in Shanxi","award":["20210302124385"],"award-info":[{"award-number":["20210302124385"]}]},{"name":"Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi","award":["2021L069"],"award-info":[{"award-number":["2021L069"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201450","12102290"],"award-info":[{"award-number":["12201450","12102290"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Major Scientific and Technological Special Project in Shanxi Province","award":["202101120401007"],"award-info":[{"award-number":["202101120401007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this study, the coupled ordinary differential equations for the galloping of the first two modes in iced bundled conductors, including in-plane, out-of-plane, and torsional directions, are derived. Furthermore, through numerical analysis, the critical conditions of this modal galloping are determined in the range of wind speed\u2013sag parameters, and the galloping patterns and variation laws in different parameter spaces are analyzed. The parameter space is then divided into five regions according to the different galloping modes. Under the multimodal coupling mechanism of galloping, the impact of single and two kinds of coupled mode galloping on the spatial nonlinear behavior is explored. The results reveal that the system exhibits an elliptical orbit motion during single mode galloping, while an \u201c8\u201d motion pattern emerges during coupled mode galloping. Moreover, two patterns of \u201c8\u201d motion are displayed under different parameter spaces. This research provides a theoretical foundation for the design of transmission lines.<\/jats:p>","DOI":"10.3390\/s24030784","type":"journal-article","created":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T08:44:07Z","timestamp":1706172247000},"page":"784","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Spatial Galloping Behavior of Iced Conductors under Multimodal Coupling"],"prefix":"10.3390","volume":"24","author":[{"given":"Fujiang","family":"Cui","sequence":"first","affiliation":[{"name":"Beijing Aircraft Technology Research Institute, Commercial Aircraft Corporation of China, Ltd., Beijing 102211, China"},{"name":"College of Aeronautics and Astronautics, Taiyuan University of Technology, Taiyuan 030024, China"}]},{"given":"Kaihong","family":"Zheng","sequence":"additional","affiliation":[{"name":"Beijing Aircraft Technology Research Institute, Commercial Aircraft Corporation of China, Ltd., Beijing 102211, China"}]},{"given":"Peng","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Aeronautics and Astronautics, Taiyuan University of Technology, Taiyuan 030024, China"}]},{"given":"Han","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Aeronautics and Astronautics, Taiyuan University of Technology, Taiyuan 030024, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,25]]},"reference":[{"key":"ref_1","unstructured":"EPRI (1979). 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