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Title
Japanese:ブリルアン光相関領域反射計によるオイラーのベルト理論の直接的可視化 
English:Direct visualization of Euler’s belt theory by Brillouin optical correlation-domain reflectometry 
Author
Japanese: 杉原怜, 野田康平, 定近晋也, 髙田敦, 中村健太郎, 水野洋輔, セットジイヨン, 山下真司, 遠藤玄.  
English: Rei Sugihara, Kouhei Noda, Shinya Sadachika, Atsushi Takata, Kentaro Nakamura, Yosuke Mizuno, Sze Yun Set, Shinji Yamashita, Gen Endo.  
Language Japanese 
Journal/Book name
Japanese:日本機械学会論文集 
English:Transactions of the JSME (in Japanese) 
Volume, Number, Page Vol. 92    No. 953    p. 25-00128
Published date Jan. 25, 2026 
Publisher
Japanese:一般社団法人 日本機械学会 
English:The Japan Society of Mechanical Engineers 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
Official URL https://www.jstage.jst.go.jp/article/transjsme/92/953/92_25-00128/_article/-char/ja
 
DOI https://doi.org/10.1299/transjsme.25-00128
Abstract Rope-based mechanisms are widely utilized in elevators, cranes, and ship moorings. At the root of these are often Euler’s belt theory, in which a rope is wound around a fixed pulley and frictional force is said to increase exponentially with the winding angle. However, experimental validation of Euler’s belt theory has been limited due to the difficulty in measuring continuous tension attenuation when the rope is wound intermittently or multiple times. Moreover, previous study have reported that intermittent winding reduces the amount of tension attenuation, which the existing theory cannot explain. In this paper, we employed Brillouin optical correlation-domain reflectometry (BOCDR) to directly measure the tension distribution along an optical fiber wound around both a circular pulley and an intermittent pulley, simulating a situation where the end of a synthetic fiber rope was fixed. First, we compared two types of belt theories: the conventional Euler’s belt theory and a modified theory that accounted for the bending stiffness of the belt. Next, we experimentally measured the tension distribution using BOCDR in the optical fiber wound around both pulleys. When the fixed pulley diameter was D and the optical fiber diameter was d, our results showed that both belt theories yielded similar results for a circular pulley with D/d ≥ 35. In addition, we successfully observed the phenomenon that intermittent winding reduces tension damping. Considering these results, we proposed a new hypothesis that the observed reduction in tension damping was not due to intermittent winding, but was due to a small D/d ratio.

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