Capstan equation for strings with rigidity

Capstan equation for strings with rigidity
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DOI:
10.1088/0508-3443/12/10/309
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发表时间:
1961-10
期刊:
British Journal of Applied Physics
影响因子:
--
通讯作者:
I. Stuart
I. Stuart
中科院分区:
其他
文献类型:
--
作者:
I. Stuart

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考虑了弦线刚度对绞盘方程的影响。区分了两种最可能的情况--弦在一点与销子接触,以及弧线上的接触。对这些情况的分析是通过推导出桩两侧弦引线的曲率的近似值来方便的。如果摩擦服从阿蒙顿定律,绞盘方程对弦线刚度的修正通常很小,但在弧形接触和载荷依赖摩擦系数的情况下,修正可能是重要的。
The effect of string rigidity on the capstan equation is considered. Two cases which cover the most likely situations are distinguished - contact of the string with the peg at a point, and contact over an arc. The analysis of these situations is facilitated by an approximation derived for the curvature for the leads of string on either side of the peg. If the friction is governed by Amontons' law the correction of the capstan equation for string rigidity will usually be small, but in the case of arc contact and load-dependent coefficient of friction, the correction could be important.