Mechanics of wedge turns in alpine skiing

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Abstract

A simple approximate theory of snow machining is applied to modelling successive wedge turns of alpine skiing. The model involves predefined control functions describing skier’s control over the turns via angle of attack, edge angle and loading of the skis. To demonstrate the model’s potential, reasonable control functions with a small number of free parameters are designed and used in attempt to reproduce the data obtained in a previous field study by other researches. The results are in semi-quantitative agreement with the data. In particular, the model explains the nature of the abnormally high values for the “coefficient of friction” deduced in that study. Future field studies of wedge turns should aim at measuring the angle of attack, edge angle and loading of the skis. This will allow to determine the control functions from the experimental data and hence to conduct a more stringent verification of the model.

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Item Type:	Article
Authors/Creators:	Komissarov, SS https://orcid.org/0000-0003-4545-9774
Copyright, Publisher and Additional Information:	© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords:	Alpine skiing; Modelling; Balance/stability; Performance
Dates:	Published: December 2022 Published (online): 25 March 2022 Accepted: 1 February 2022
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	27 Jun 2022 14:17
Last Modified:	27 Jun 2022 14:17
Status:	Published
Publisher:	Springer Nature
Identification Number:	10.1007/s12283-022-00367-4
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:188480

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Mechanics of wedge turns in alpine skiing. (deposited 27 Jun 2022 14:12)
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Mechanics of wedge turns in alpine skiing

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