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A Novel Method for Quantifying Ski-Snow Friction Using an Rtk-Gnss Equipped Sled
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-4085-8306
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0009-0005-4747-5753
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0003-0414-029X
Luleå University of Technology, Department of Health, Education and Technology, Health, Medicine and Rehabilitation.ORCID iD: 0000-0002-3814-6246
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(English)Manuscript (preprint) (Other academic)
Abstract [en]

In most winter sports, the athletes interact with snow with their equipment. In some of these sport, e.g. in cross-country skiing, a large amount of energy is spent by the athlete to overcome the restive force of friction. Consequently, a reduction in friction can be the difference between winning and coming second in a race. Over the years, researchers have come up with many ways of measuring the friction between snow and sports equipment, such as different types of skis. However, only a few of these experimental setups can be used to test the glide of real-sized skis under natural conditions during both accelerating and deceleration motion. In the present work, a novel experimental setup consisting of a sled and a base station that uses GNSS receivers communicating internally by radio, thus making up an RTK-GNSS system which can measure the position of the sled with centimetre accuracy, was established. The sled is equipped with authentic cross-country skis and accelerated and decelerated on a track with natural height variation prepared with a conventional snow-track setter mounted on a snowcat. The recorded altitude and velocity data are used to quantify the coefficient of friction (COF), both for accelerating and decelerating motion, with a model based on the preservation of energy. The results show that the COF during acceleration was more than 28% higher than during deceleration, while the difference in the COF during deceleration on flat ground at loading conditions resembling the acceleration and deceleration phases was less than 5%. This is an important discovery, as when all types of skiing techniques are executed, the athlete is either accelerating or decelerating while moving forward along the track. The ability of the current experimental set-up to distinguish between them may thus have positive implications for further development.

Keywords [en]
Winter Sports, Cross-Country Ski, Snow, Friction, RTK-GNSS, Sled
National Category
Mechanical Engineering
Research subject
Machine Elements
Identifiers
URN: urn:nbn:se:ltu:diva-104440DOI: 10.2139/ssrn.4423260OAI: oai:DiVA.org:ltu-104440DiVA, id: diva2:1841954
Funder
Swedish Research Council, 2019-04293Available from: 2024-03-01 Created: 2024-03-01 Last updated: 2024-04-09
In thesis
1. On the Multi-Scale Nature of Ski-Snow Friction: Field Testing, Characterisation and Modelling of Cross-Country Ski Performance
Open this publication in new window or tab >>On the Multi-Scale Nature of Ski-Snow Friction: Field Testing, Characterisation and Modelling of Cross-Country Ski Performance
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The goal of most endurance sports is to get from point A to B in the shortest time possible. Throughout the course, athletes need to overcome the resistive forces that are present in their specific sport. Cross-country skiing is no exception to this, and there are mainly three resistive forces acting on a skier, the aerodynamic drag force, the friction force, and the gravitational force in the inclined parts of a track. The present work focuses on the resistive force of friction between the ski and the snow. At the highest level of ski sports, a large effort is made to reduce the ski-snow friction, and a small reduction in friction can have a large impact on the race outcome. Several aspects are considered when skis are chosen and prepared to minimise friction, ski-camber profile, ski-base material, ski-base texture, and ski-base preparation.  Depending on the prevailing snow and weather conditions, different friction mechanisms are thought to be dominant, so the choices of skis and preparations must be carefully considered and tested accordingly. The present work focuses on the multi-scale nature of ski-snow friction from a contact mechanical point of view. Where the ski-camber profile is separated into the macro- and meso-scale, and the larger deformations i.e. the macro scale are incorporated, thou ski-camber profile measurements. The smaller deformations in the snow due to the contact pressure are considered as the meso scale, where the contact mechanical response is evaluated and characterised in terms of apparent contact area and pressure. The ski-base texture is categorised as the micro-scale; on this scale, the elastic modulus is modelled as ice which is several times stiffer than the meso-scale snow. The contact mechanical response is characterised in terms of the parameters, real contact area, average interfacial separation, and average reciprocal interfacial separation. The multi-scale nature of the ski-snow contact is coupled through the apparent pressure, which acts as a load condition for the micro-scale contact simulation and considering both scales, the micro-scale parameters can be evaluated along the entire ski. To correlate the characteristics obtained from the multi-scale simulation to ski-snow friction, a full-scale ski-snow tribometer was developed. The tribometer was built to mimic an athlete on skis while performing the G7, in terms of load magnitude, positioning and transfer interface. To do so an athlete’s plantar pressure distribution was measured and analysed in different variations of the G7 position. The neutral position, resembling a load position of 55% of the athlete’s foot measured for the toe, was chosen for the tribometer. A replica of a ski boot was developed for the tribometer, herein called the measurement boot, to make it possible to use skis equipped with a regular NNN-binding system on the ski tribometer. The impact on the ski-camber profile from using the measurement boot was also studied, results showed that since a ski boot transfers the load on a larger area, the ski will collapse more, compared to the conventionally used block that is designed to fit the binding system. The tribometer from here on called the sled can be equipped with a pair of skis, where the width of the ski fits a classic ski track. The sled was designed to be loaded with regular Olympic weights to enable a large variety of different loads. During field measurements, the sled is accelerated using a downhill slope, and the velocity and position are measured using an RTK-GNSS system. The retrieved data in terms of time, altitude, and velocity, was used to calculate a mean coefficient of friction for reaching individual runs while accommodating for aerodynamic drag, centripetal force, and slope angle. During the winter period of January-February 2024, a measurement campaign was carried out to evaluate the influence of the simulated apparent and real contact area in cold conditions and hard tracks. Eight skis with different apparent contact areas were equipped with 3 different ski-base textures i.e. developing different amounts of real contact area.  Results from the friction tests indicate that there exists a different optimum combination of apparent and real contact area at the snow temperatures of -3.5, -8 and -13.5 degrees. At the warmer -3.5 degrees, a small apparent and real contact area exhibited the lowest friction, and at -13.5 degrees the opposite trend where a large apparent and contact area exhibited the lowest friction. For each condition, an empirical model was developed based on the variables apparent and real contact area.Using the developed ski-snow contact models, a pair of skis and its ski-base texture can be characterised and the frictional performance in cold conditions with hard track can be estimated using the empirical model. Employing this method makes ski and ski-base texture selection possible before testing, thus contributing to a more efficient way of conducting ski selection.

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2024
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Keywords
Cross-Country Skiing, Winter Sports, Winter Olympics, Multi-Scale, Sports Equipment, Contact Mechanics, Ski-Camber Profile, Ski-Base Texture, Ski, Snow, Friction, RTK-GNSS
National Category
Other Mechanical Engineering
Research subject
Machine Elements; Centre - Centre for Sports and Performance Technology (SPORTC)
Identifiers
urn:nbn:se:ltu:diva-104443 (URN)978-91-8048-493-0 (ISBN)978-91-8048-494-7 (ISBN)
Public defence
2024-04-26, E632, Luleå University of Technology, Luleå, 09:00 (English)
Opponent
Supervisors
Available from: 2024-03-01 Created: 2024-03-01 Last updated: 2025-02-14Bibliographically approved

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Kalliorinne, KalleSandberg, JoakimHindér, GustavHolmberg, Hans-ChristerLarsson, RolandAlmqvist, Andreas

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