Wireless instrumented klapskates for long-track speed skating
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In the current project, we aim to provide speed skaters with real-time feedback on how to improve their skating performance within an individual stroke. The elite skaters and their coaches wish for a system that determines the mechanical power per stroke. The push-off force of the skater is a crucial variable in this power determination. In this study, we present the construction and calibration of a pair of wireless instrumented klapskates that can continuously and synchronously measure this push-off force in both the lateral direction and normal direction of the skate and the centre of pressure of these forces. The skate consists of a newly designed rigid bridge (0.6 kg), embedding two three-dimensional force sensors (Kistler 9602, Kistler Group, Winterthur, Switzerland), which fits between most individual skate shoes and Maple skate blades. The instrumented klapskates were calibrated on a tensile testing machine, where they proved to be unaffected to temperature conditions and accurate up to an RMS of 42 N (SEM = 1 N) in normal and up to an RMS of 27 N (SEM = 1 N) in lateral direction. Furthermore, the centre of pressure of these forces on the blade was determined up to a mean error of 10.1 mm (SD = 6.9 mm). On-ice measurements showed the possibility of recording with both skates simultaneously and synchronously, straights as well as curves. The option to send data wirelessly and real-time to other devices makes it possible to eventually provide skaters and coaches with visual real-time feedback during practice.
KeywordsSpeed skating Calibration Force measurements Instrumentation design Real-time feedback
Force and power production are crucial factors in any performance sport. Insight in the force pattern produced by an athlete and the related relevant velocities can help understand the technique and performance of that athlete. Ideally, we would like to provide speed skaters with real-time feedback on their skating performance within an individual stroke. The Dutch elite skaters and their coaches would like to have access to a system that determines the power per stroke, which is a familiar variable for them from cycling practices. The push-off force of the skater is a crucial variable in this power determination . For power estimations, the velocity of the skater and the orientation of the skate in the global frame are a necessity. Therefore, to fulfil the wish of the skaters, accurate measurement systems that can capture the kinetic and kinematic data of a skater, and preferably send it real-time to a device for feedback (e.g., phone, tablet, smart glasses), are essential. Since the accuracy of all these measurements are of utmost importance for the quality of the feedback, we will deal with these in separate studies. In this paper, we present the construction and validation of a set of wireless instrumented klapskates that can measure the forces applied by the skater. The validation and measurements of the orientation of the skate, which will be performed with an IMU and self-designed filter, and the velocity of the skater are presented in a follow-up study.
Yuki et al.  measured the normal and lateral forces in speed skating on the straight. For this study, two sensor-skates were built, which consisted of strain gauges between the shoe and the blade. Their study aimed at measuring the horizontal (F h , Fig. 1) and vertical (F v ) blade reaction forces for two different skating velocities, slow (9.1 m/s) and fast (11.5 m/s), respectively. Their study was the first to also report the centre of pressure of these static resultant forces on the skate blade (COP). Their results, based on one-skilled skater (n = 1), indicated that the peak lateral forces were considerable, namely between the F L = 0.3–0.6 BW (BW = body weight), which is equal to 25–45 % of the peak normal force. Since the lateral force proved to be considerable, measuring this component seems inevitable when analysing speed skating forces. Furthermore, a relationship was found between the performance of the speed skater and the COP. This makes the COP, an esteemed variable for feedback.
In the mid-90s, fixed skates were replaced by klapskates, which incorporate a hinge between the blade and the shoe. The first constructed instrumented klapskate measured forces in normal direction, thereby again neglecting the forces in lateral direction . Not long after, Yuda et al.  constructed a (left) instrumented klapskate that could measure in normal direction and lateral direction. The skate was equipped with two quartz voltage sensors which measured three components between the boot and the bridge of the skate. The data were logged on a computer carried on the skater’s back. Their study reports on measurements in the curve with the left instrumented skate. Unfortunately, no data on the calibration or accuracy of the force measurements were reported. Drawback of the design of this instrumented klapskate was the necessity for the skaters to carry a laptop to log the data (3.3 kg). In addition, the sensors were placed between the skate shoe and the blade as a result of which every participant had to wear (and fit) the same (only left) skate shoe. To perform true measurements and preserve participation of many skaters, a skater needs to be able to wear his own skate shoe, and preferably blade, during measurements.
Three previous studies have described calibration procedures for instrumented skates in long-track speed skating [4, 5, 6]. In all three studies, which use static calibration with weights, the accuracy determination focused on the crosstalk between the force directions rather than the accuracy of the force directions itself. Since also the relationship between the forward velocity (performance) and the measured forces had not completely been grasped yet, literature did not provide us with an adequate benchmark for the accuracy requirement for an instrumented skate. One study has been published on the construction and calibration of an instrumented ice hockey skate, which measured the forces in normal direction and lateral direction, with strain gauges, and reported on the calibration accuracies in the separate directions . Their skates were calibrated with an error of 68 N in normal direction and 40 N in lateral direction.
In this study, we present the construction and calibration of a pair of instrumented klapskates that can continuously and synchronously measure both the lateral and normal forces in a local frame and the COP of these forces. The skate is designed to fit most individual skate shoes and Maple skate blades . In addition, the developed system can log data wirelessly and locally through a logger at the rear of the skate. In the design, the longitudinal force is neglected, since this is assumed to be less than 1 % of the normal force. The skate is built to be part of the instrumentation to provide speed skaters with real-time feedback during practice on improving their performance within a single stroke.
In this section, first, the design of the instrumented klapskates is described. Subsequently, the calibration set-up, the calibration routine, and calibration analyses are explained. The section closes with the description of the on-ice skating measurements.
2.1 Instrumented klapskates
The calibration of the instrumented skates was performed using a tensile testing machine (Zwick Z100, Zwick Roell, Ulm, Germany, principal accuracy 1 N). The aim of the calibration was to calibrate the forces on the instrumented skates in normal direction and lateral direction and the centre of pressure of these resultant forces on the blade (COP). Since it was uncertain whether the measurements of the skate were influenced by the low environmental temperature on the ice rink, ranging between −5 to 0 °C on the ice and 0 to 5 °C just above the ice, first, the temperature dependency was determined.
The tensile testing machine was placed in a climate-controlled chamber to regulate the temperature. Each skate was positioned blade up in four different positions (P1–P4) on the fixed lower head of the testing machine. The reference force F LC , exerted by the movable upper head of the machine (∅ 50 mm), was applied directly to the blade via a constant displacement, up to a maximum force, and released by the same constant displacement. A wedge was designed to place the skate under five tilting angles (λ ta ) with λ ta = −7°, 7°, 0°, −20°, 20°, to distribute the applied force F LC into a normal (F N ) force and a lateral (F L ) force on the skate.
The temperature dependency test was conducted under four different temperatures (−5, 0, 5 and 19 °C) at position P2, by applying a rising force up to 1100 N. From each condition, 12 samples were taken (every 100 N) and the combined output voltages V fz + V rz were compared between temperature conditions. Results showed that the output voltages were uncorrelated to the temperature conditions (R = −0.015, p = 0.89 for left skate and R = −0.0037, p = 0.9712 for the right skate). Therefore, the remaining calibration could be performed at room temperature (19 °C).
2.2.2 Normal force and lateral force
The calibration in normal direction and lateral direction was performed at room temperature (19 °C), in four different positions (P1–P4) under the five tilting conditions λ −7°, λ 7°, λ 0°, λ −20°, and λ −20°. At each position, under each condition, 12 samples were taken from the force data, equally divided from zero up to the maximum measured force. The maximum forces differed between conditions due to the applied tilting angle, but ranged from 1600 N to 2500 N in normal direction and from −610 N up to 610 N in lateral direction.
2.2.3 Centre of pressure
2.3 Measurements on the ice rink
To demonstrate the practical use of the measurement system, data were collected in 2015 on the indoor ice rink of Thialf, which is located at Heerenveen in The Netherlands. Seven Dutch elite speed skaters (5♂, 2♀; 22 ± 1.1 years; 77.3 ± 6.8 kg; PR at 1000 m: ♂1.10-1.12 s,♀ 1.16–1.18 s) were equipped with two instrumented skates, on which their own skating shoes were positioned. The average velocity over a straight part or a curve was measured by a local position measurement system . Skaters familiarized themselves with the equipment before the start of the test. The test was divided into three parts, each at a different velocity, which each consisted of skating three laps at a constant velocity. We employed the data at 10.3 m/s for the current paper. The push-off forces were normalized to ratio of total body weight and equipment (BW). The onset of a stroke was defined as the time at which the normal force attained 100 N , the end of the stroke the time at which the normal force fell back to 100 N. The time is normalized in units of stroke time.
The statistics applied in this paper are based on three strokes per participant, per side. Therefore, 21 strokes for each skate (left and right). To establish any differences in peak forces or mean COP between left and right, a paired sample t test was performed, in which the mean value of three strokes was used as an input for each participant.
3.1 Calibration results
3.2 Measurements on the rink
4.1 Construction and calibration
In this paper, we have described the construction and calibration of two wireless instrumented klapskates that can measure the lateral and normal forces during high-speed skating with an accuracy of RMS of 42 N (SEM = 1 N) in normal and up to an RMS of 27 N (SEM = 1 N) in lateral direction. As mentioned in the introduction, we cannot determine yet whether the found accuracy will be sufficient for the purpose of providing elite speed skaters with adequate feedback on improving their performance, since the relation between the forward velocity (performance) and the applied forces is yet to be discovered. This relationship can, however, be established with for instance a dynamic model of skating that describes the complete path from push-off force to forward velocity. The current skate can be of use in validating such a model .
Apart from crosstalk, previous papers on the calibration of instrumented skates for speed skating did not give an accuracy indication for separate force directions. The study on the construction and calibration of an instrumented ice hockey skate did . The RMS errors of the instrumented klapskates are similar to those of the ice hockey skates, with an RMS in normal direction of 42 N for the klapskates versus 68 N for the ice hockey skates and an RMS in lateral direction of 27 N for the klapskates and 40 N for the ice hockey skates.
The skates were calibrated in two directions, lateral and normal, while the sensors are capable of measuring in three directions. We intentionally chose to neglect the longitudinal direction, due to the relatively small forces acting in this direction. Considering the crosstalk of ≈3 % between the vertical and transverse plane of the applied sensors, as reported by the manufacturer, it will be impossible to observe ice friction forces lower than 1 % of the body weight with the current design. If in future research, we do want to determine these forces, a construction needs to be made, whereby the normal forces are completely decoupled from the transverse plane, to avoid crosstalk. With the current design, this will not be feasible.
The aim to build wireless instrumented klapskates was accomplished in this paper. Although the instrumented skates function as a klapskate, the skate was only calibrated, while it was closed. As soon as the skate opens, the force measurements are, therefore, no longer reliable. Previous studies indicate that the opening of the skate happens at the very last part of the stroke (50 ms before lifting the skate) and that the forces are small in this time span . As a consequence, we expect this not to be a major problem for the power determination. The benefit of the hinge mechanism in the system is to preserve the skating movement of speed skaters during testing. The presented instrumented skate has high resemblance to a standard klapskate. Still the influence of the added weight of the instrumented bridge on the skaters technique should not be disregarded in future analyses. A follow-up research, in which the skating technique, while skating on the instrumented skate, is compared to the technique employed, while skating on common klapskates, can identify such specific differences.
4.2 Practical results
The recorded normal peak forces at the straight partially agree with previous studies, where normal peaks between the 1.2–1.5 BW at 9–11.5 m/s on a conventional skate were reported [2, 6]. In line with the current study, previous studies report that no clear normal peak forces were found in the curve. The lateral forces measured in the curve are higher than the reported lateral forces of Yuki et al. , who found lateral forces on the straight part of 0.4 BW for both sides, and in the curve 0.3 BW for the left and 0.6 BW for the right skate, for one typical example. Direct comparison is, however, not feasible, since the velocity and the skill level of this skater will influence these values, and these were unfortunately not mentioned in his study. Nonetheless, both studies showed that the lateral force is a major component in the push-off force. The lateral forces are related to the lean angle of the skate and the eversion of the skate, which causes the foot and the lower leg to be unaligned. Whether the lateral force is of benefit or counterproductive to the forward motion of the skater, depends on the orientation of the skate, determined by both the lean and steer angles. The lean angle of the skate has a direct effect on the distribution of a push force over the local vertical and transverse components, while the steer angle determines the direction of push-off in the horizontal plane (forward or sideways).
4.3 Centre of pressure
The centre of pressure indicates where the resultant measured forces act on the skate blade. On the straight part, the centre of pressure of the resultant force levelled at about 20–70 mm ahead of the heel cup, for the first 80 % of the stroke. Then, the COP shifted towards the hinge of the skate, in which time the peak forces occurred, followed by the opening of the skate. Since the hinge is taken as origin, the skate would open when the COP becomes positive if it was not for a spring acting on the hinge, which makes it difficult to interpret the exact opening of the klapskate. The curve showed different COP patterns for left and right. Both lack the levelled phase at the start of the stroke, since the COP continuously shifts towards the front. The left skate has a faster shift and levels at the end of the stroke, while the peak forces occur. This pattern arises from the fact that the skater has to cross his right leg over his left in the curve. Therefore, the skater is forced to move his left leg backwards faster, whereby his COP quickly shifts towards the point of his blade.
4.4 Real-time feedback
Measured outputs were sent wirelessly and real-time over Bluetooth to a phone carried by the speed skater during the test. It is possible to link the phone via wifi or a mobile network to a tablet or smart glasses, to provide both coach and skater with real-time visual feedback on the force level and COP during training. Eventually, the forces will be combined with kinematic measurement systems, to provide feedback on power per stroke. During this experiment, the possibility of synchronising the skates with other measurement equipment via a digital end-start pulse proved to be easy.
Two wireless force measuring instrumented klapskates were constructed and calibrated on a tensile testing machine, where they proved to be unaffected by temperature conditions and accurate up to an RMS of 42 N (SEM = 1 N) in normal direction and 27 N (SEM = 1 N) in lateral direction. Furthermore, the centre of pressure of these forces on the blade was determined up to a mean error of 10.1 mm (SD = 6.9 mm). The design of the skate allows a skater to attach his own shoe and Maple blade to the bridge. On-ice measurements showed the possibility of recording with both skates simultaneously and synchronously both straights and curves, and the capability of the system to send data wirelessly and real-time to other devices, which makes it possible to eventually provide skaters and coaches with visual real-time feedback during practice. With the construction of these instrumented klapskates, we are one step closer to fulfilling the wish of the Dutch elite skaters and their coaches for a system determining the mechanical power per stroke.
The authors gratefully acknowledge the mechanical and electronics engineers N. Linskens and G. F. Liqui Lung for their support, while producing the instrumented skates and express their gratitude to A. C. Riemslag for the technical support during the calibration experiment. This study was supported by the NWO-STW under Grant 12870.
Compliance with ethical standards
Conflict of interest
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