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Applicability of the capstan equation to guitar strings

Research output: Contribution to journalArticlepeer-review

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Applicability of the capstan equation to guitar strings. / Groves, Tom; Kemp, Jonathan Andrew.

In: Archives of Acoustics, Vol. 44, No. 3, 01.07.2019, p. 459–465.

Research output: Contribution to journalArticlepeer-review

Harvard

Groves, T & Kemp, JA 2019, 'Applicability of the capstan equation to guitar strings', Archives of Acoustics, vol. 44, no. 3, pp. 459–465. https://doi.org/10.24425/aoa.2019.129261

APA

Groves, T., & Kemp, J. A. (2019). Applicability of the capstan equation to guitar strings. Archives of Acoustics, 44(3), 459–465. https://doi.org/10.24425/aoa.2019.129261

Vancouver

Groves T, Kemp JA. Applicability of the capstan equation to guitar strings. Archives of Acoustics. 2019 Jul 1;44(3):459–465. https://doi.org/10.24425/aoa.2019.129261

Author

Groves, Tom ; Kemp, Jonathan Andrew. / Applicability of the capstan equation to guitar strings. In: Archives of Acoustics. 2019 ; Vol. 44, No. 3. pp. 459–465.

Bibtex - Download

@article{8cda2d6277f243428a0f9a50425ee21b,
title = "Applicability of the capstan equation to guitar strings",
abstract = "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.",
keywords = "Guitar, String, Friction, Saddle, Capstan equation, Bridge",
author = "Tom Groves and Kemp, {Jonathan Andrew}",
note = "Funding: Physics Trust Summer Scholarship from the School of Physics & Astronomy, University of St Andrews (TG).",
year = "2019",
month = jul,
day = "1",
doi = "10.24425/aoa.2019.129261",
language = "English",
volume = "44",
pages = "459–465",
journal = "Archives of Acoustics",
issn = "0137-5075",
publisher = "Polish Academy of Sciences Publishing House",
number = "3",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Applicability of the capstan equation to guitar strings

AU - Groves, Tom

AU - Kemp, Jonathan Andrew

N1 - Funding: Physics Trust Summer Scholarship from the School of Physics & Astronomy, University of St Andrews (TG).

PY - 2019/7/1

Y1 - 2019/7/1

N2 - 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.

AB - 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.

KW - Guitar

KW - String

KW - Friction

KW - Saddle

KW - Capstan equation

KW - Bridge

U2 - 10.24425/aoa.2019.129261

DO - 10.24425/aoa.2019.129261

M3 - Article

VL - 44

SP - 459

EP - 465

JO - Archives of Acoustics

JF - Archives of Acoustics

SN - 0137-5075

IS - 3

ER -

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ID: 261336342

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