Addendum to “Polynomial relations for cylindrical wheel stiffness characterization for use in a rolling noise prediction model”

Matthew Edwards; Fabien Chevillotte; François-Xavier Bécot; Luc Jaouen; Nicolas Totaro

doi:10.1051/aacus/2020031

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Volume 5 (2021)

Acta Acust., 5 (2021) 5

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This article is a note for:
[https://doi.org/10.1051/aacus/2020003]

Issue		Acta Acust. Volume 5, 2021


Article Number		5
Number of page(s)		2
Section		Computational and Numerical Acoustics
DOI		https://doi.org/10.1051/aacus/2020031
Published online		05 January 2021

Acta Acustica 2021, 5, 5

Addendum

Acta Acustica, 4, 4. https://doi.org/10.1051/aacus/2020003

Matthew Edwards¹^*, Fabien Chevillotte¹, François-Xavier Bécot¹, Luc Jaouen¹ and Nicolas Totaro²

¹ Matelys Research Lab, 7 Rue des Maraîchers, Bât B, 69120 Vaulx-en-Velin, France
² INSA–Lyon, 20 Avenue Albert Einstein, 69621 Villeurbanne cedex, France

^* Corresponding author: matthew.edwards@matelys.com

Received: 25 November 2020
Accepted: 5 December 2020

Addendum to: Acta Acustica, 4, 4. https://doi.org/10.1051/aacus/2020003

The authors wish to correct three errors that appear in the above manuscript:

A typographical error was made in equation (8). The correct form is given below:

$f = r_{A} / r_{W} .$ $f={r}_A/{r}_W.$ (8)
The rounded polynomial in equation (10) will not yield sufficiently precise results if evaluated as was originally presented. The equation with exact coefficients is given below:

$\begin{array}{l} P (f, g) = \frac{K}{wE} = & \exp (95.448 f^{5} + 280.369 f^{4} g - 1319.105 f^{3} g^{2} + 4004.448 f^{2} g^{3} \\ - 9965.202 f g^{4} + 1052707.575 g^{5} - 249.304 f^{4} - 351.973 f^{3} g \\ + 1 108.967 f^{2} g^{2} + 75.910 f g^{3} - 305 716.234 g^{4} + 246.535 f^{3} \\ + 123.059 f^{2} g - 453.953 f g^{2} + 33 012.778 g^{3} - 116.952 f^{2} + 7.302 fg \\ - 1 625.255 g^{2} + 28.714 f + 42.606 g - 4.643) . \end{array}$ $\begin{array}{ll}P(f,g)=\frac{K}{{wE}}=& \mathrm{exp}\left(95.448{f}^5+280.369{f}^4g-1319.105{f}^3{g}^2+4004.448{f}^2{g}^3\right.\\ & -9965.202f{g}^4+1052707.575{g}^5-249.304{f}^4-351.973{f}^3g\\ & +1\mathrm{\enspace }108.967{f}^2{g}^2+75.910f{g}^3-305\mathrm{\enspace }716.234{g}^4+246.535{f}^3\\ & +123.059{f}^2g-453.953f{g}^2+33\mathrm{\enspace }012.778{g}^3-116.952{f}^2+7.302{fg}\\ & \left.-1\mathrm{\enspace }625.255{g}^2+28.714f+42.606g-4.643\right).\end{array}$ (10)
The exact values of the lookup table were not provided, making use of the lookup table method impossible as originally presented. They are given below:

Table 5
Lookup table exact values: K_norm

Cite this article as: Edwards M, Chevillotte F, Bécot F-X, Jaouen L & Totaro N. 2021. Addendum to “Polynomial relations for cylindrical wheel stiffness characterization for use in a rolling noise prediction model”. Acta Acustica, 5, 5.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

All Tables

Table 5

Lookup table exact values: K_norm

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