Applicability of the Capstan Equation to Guitar Strings

The effects of friction were observed in electric guitar strings passing over an electric guitar saddle. The effects of changing the ratio of the diameter of the winding to the diameter of the core of the string, the angle through which the string is bent, and the length on either side of the saddle...

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Main Authors: Tom GROVES, Jonathan Andrew KEMP
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2019-07-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/2379
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author Tom GROVES
Jonathan Andrew KEMP
author_facet Tom GROVES
Jonathan Andrew KEMP
author_sort Tom GROVES
collection DOAJ
description The effects of friction were observed in electric guitar strings passing over an electric guitar saddle. The effects of changing the ratio of the diameter of the winding to the diameter of the core of the string, the angle through which the string is bent, and the length on either side of the saddle were measured. Relative tensions were deduced by plucking and measuring the frequencies of vibration of the two portions of string. Coefficients of friction consistent with the capstan equation were calculated and were found to be lower than 0.26 for wound strings (nickel plated steel windings on steel cores) and lower than 0.17 for unwound (tin plated steel) strings. The largest values of friction were associated with strings of narrower windings and wider cores and this may be due to the uneven nature of the contact between the string and saddle for wound strings or due the surface of the windings deforming more, encouraging fresh (and therefore higher friction) metal to metal contact. It is advised to apply lubrication under the saddle to string contact point after first bringing the string up to pitch rather than before in order to prevent this fresh metal to metal contact.
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spelling doaj-art-b002f9bf8680493d9510366d2e9eac382025-08-02T16:51:45ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2019-07-0144310.24425/aoa.2019.129261Applicability of the Capstan Equation to Guitar StringsTom GROVES0Jonathan Andrew KEMP1University of St AndrewsUniversity of St AndrewsThe effects of friction were observed in electric guitar strings passing over an electric guitar saddle. The effects of changing the ratio of the diameter of the winding to the diameter of the core of the string, the angle through which the string is bent, and the length on either side of the saddle were measured. Relative tensions were deduced by plucking and measuring the frequencies of vibration of the two portions of string. Coefficients of friction consistent with the capstan equation were calculated and were found to be lower than 0.26 for wound strings (nickel plated steel windings on steel cores) and lower than 0.17 for unwound (tin plated steel) strings. The largest values of friction were associated with strings of narrower windings and wider cores and this may be due to the uneven nature of the contact between the string and saddle for wound strings or due the surface of the windings deforming more, encouraging fresh (and therefore higher friction) metal to metal contact. It is advised to apply lubrication under the saddle to string contact point after first bringing the string up to pitch rather than before in order to prevent this fresh metal to metal contact.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2379guitarstringfrictionsaddlecapstanequation
spellingShingle Tom GROVES
Jonathan Andrew KEMP
Applicability of the Capstan Equation to Guitar Strings
Archives of Acoustics
guitar
string
friction
saddle
capstan
equation
title Applicability of the Capstan Equation to Guitar Strings
title_full Applicability of the Capstan Equation to Guitar Strings
title_fullStr Applicability of the Capstan Equation to Guitar Strings
title_full_unstemmed Applicability of the Capstan Equation to Guitar Strings
title_short Applicability of the Capstan Equation to Guitar Strings
title_sort applicability of the capstan equation to guitar strings
topic guitar
string
friction
saddle
capstan
equation
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/2379
work_keys_str_mv AT tomgroves applicabilityofthecapstanequationtoguitarstrings
AT jonathanandrewkemp applicabilityofthecapstanequationtoguitarstrings