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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Japanese Society of Tribologists
2013
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oai:doaj.org-article:1d7089e0ffa544998b094c8dacfdcbb42021-11-05T09:24:23ZStudy of Belt Friction with Three Times Wrapping Condition1881-219810.2474/trol.8.179https://doaj.org/article/1d7089e0ffa544998b094c8dacfdcbb42013-03-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/trol/8/2/8_179/_pdf/-char/enhttps://doaj.org/toc/1881-2198Theoretical 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.Keiji ImadoKyouhei UesakaHironori NakataJapanese Society of Tribologistsarticlebelt frictionself-lockinglocking conditionwrapped three timesPhysicsQC1-999Engineering (General). Civil engineering (General)TA1-2040Mechanical engineering and machineryTJ1-1570ChemistryQD1-999ENTribology Online, Vol 8, Iss 2, Pp 179-185 (2013) |
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DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
belt friction self-locking locking condition wrapped three times Physics QC1-999 Engineering (General). Civil engineering (General) TA1-2040 Mechanical engineering and machinery TJ1-1570 Chemistry QD1-999 |
| spellingShingle |
belt friction self-locking locking condition wrapped three times Physics QC1-999 Engineering (General). Civil engineering (General) TA1-2040 Mechanical engineering and machinery TJ1-1570 Chemistry QD1-999 Keiji Imado Kyouhei Uesaka Hironori Nakata Study of Belt Friction with Three Times Wrapping Condition |
| description |
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. |
| format |
article |
| author |
Keiji Imado Kyouhei Uesaka Hironori Nakata |
| author_facet |
Keiji Imado Kyouhei Uesaka Hironori Nakata |
| author_sort |
Keiji Imado |
| title |
Study of Belt Friction with Three Times Wrapping Condition |
| title_short |
Study of Belt Friction with Three Times Wrapping Condition |
| title_full |
Study of Belt Friction with Three Times Wrapping Condition |
| title_fullStr |
Study of Belt Friction with Three Times Wrapping Condition |
| title_full_unstemmed |
Study of Belt Friction with Three Times Wrapping Condition |
| title_sort |
study of belt friction with three times wrapping condition |
| publisher |
Japanese Society of Tribologists |
| publishDate |
2013 |
| url |
https://doaj.org/article/1d7089e0ffa544998b094c8dacfdcbb4 |
| work_keys_str_mv |
AT keijiimado studyofbeltfrictionwiththreetimeswrappingcondition AT kyouheiuesaka studyofbeltfrictionwiththreetimeswrappingcondition AT hironorinakata studyofbeltfrictionwiththreetimeswrappingcondition |
| _version_ |
1718444334696628224 |