Study of Belt Friction with Three Times Wrapping Condition

Theoretical study was carried out to investigate the frictional property of belt wrapped three times around a circular shaft. A belt equation of fractional expression was derived. The self-locking mechanism was investigated theoretically by the equation. The discriminant of self-locking condition wa...

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Autores principales: Keiji Imado, Kyouhei Uesaka, Hironori Nakata
Formato: article
Lenguaje:EN
Publicado: Japanese Society of Tribologists 2013
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Acceso en línea:https://doaj.org/article/1d7089e0ffa544998b094c8dacfdcbb4
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Sumario:Theoretical study was carried out to investigate the frictional property of belt wrapped three times around a circular shaft. A belt equation of fractional expression was derived. The self-locking mechanism was investigated theoretically by the equation. The discriminant of self-locking condition was clarified. The necessary conditions for self-locking are μb < μ and sufficient wrapping angle of the belt, where μ is the coefficient of friction between the belt and shaft and μb is the coefficient of friction between the belt and belt. According to the formula derived, self-locking occurs even under a realistic condition. It occurs when the ratio of belt tensions becomes 0 or negative. Providing the coefficient of friction μ and the ratio of the coefficients of friction κ = μb/μ, some critical over-wrapping angles for self-locking were calculated numerically. Furthermore some normal force distributions in self-locking conditions were calculated theoretically.