瑞士雪场跳台的设计参数及着陆影响

Fabian Wolfsperger , Benedikt Heer , Alex Hüsler , Björn Bruhin , Mara Gander
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引用次数: 0

摘要

目的比较瑞士选定的滑雪公园跳台的设计参数和着陆影响,并与瑞士事故预防委员会(BFU)推荐的提高跳台安全性的参数进行比较。确定了高冲击区域,以帮助雪场造型师优化他们的跳跃设计。还提供了雪硬度对着陆影响的粗略估计。在2020/2021冬季,使用差分全球导航卫星系统和地面激光扫描捕获了23个跳跃的三维几何形状。采用点质量模型对轨迹进行数值计算。使用等效坠落高度(eFH)来量化着陆冲击,并采用经验雪变形函数来考虑雪硬度的影响。举办了讨论结果和转移调查结果的讲习班。方法将捕获的三维位置数据投影到纵断面上,估计跳跃的二维轮廓。工作台和着陆器的几何形状被平滑和插值到0.1 m的空间分辨率,而踢球器则用二阶多项式拟合。采用龙格-库塔方法对起飞速度从6到17.6 m s−1的轨迹进行了数值计算,包括气动力。利用计算出的着陆点eFH将着陆点划分为低冲击区、中冲击区和高冲击区。结果中型跳跃具有足够长度的低冲击区(>6 m),整个表的eFH小于1.5 m,符合BFU建议。然而,当起飞速度仅增加1.14 m s−1时,临界eFH大于1.5 m。大跳跃的低冲击区长度与建议一致(>9 m),但高eFH (2.3-3.4 m)发生在桌上着地。13个跳跃中有10个具有大约12-15米长的低冲击区。除了在着陆区域的末端进行高冲击着陆的风险之外,正如在较小的跳跃中发现的那样,部分xml跳跃对于桌面着陆具有非常高的eFH (2.6-4.6 m)。结论该研究证实了现有的BFU关于尺寸类别、设计参数和着陆影响限制的建议是普遍可行的,并为未来的安全建议提供了知识。修改工作台的几何形状并采取措施限制运行中的速度将有助于减少着陆的影响,并且还应考虑由于硬雪条件造成的危害。
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Design parameters and landing impacts of snow park jumps in Switzerland

Objectives

Design parameters and landing impacts for selected snow park jumps in Switzerland were compared with the parameters recommended to increase the jumps’ safety by the Swiss Council for Accident Prevention (BFU). High impact zones were identified to help snow park shapers optimize the design of their jumps. A rough estimate of the influence of snow hardness on landing impacts was also provided.

Design

During the 2020/2021 winter season three-dimensional geometries of 23 jumps were captured using differential global navigation satellite system and terrestrial laser scanning. A point mass model was used to numerically calculate trajectories. The equivalent fall height (eFH) was used to quantify landing impacts and an empiric snow-deformation function was applied to take the effect of snow hardness into consideration. Workshops were held to discuss results and transfer findings.

Methods

2D-profiles of the jumps were estimated by projecting the captured 3D position data onto the longitudinal cross-section plane. Table and landing geometry were smoothed and interpolated to a spatial resolution of 0.1 ​m, while the kicker was fitted with a 2nd order polynomial. Trajectories were numerically calculated for take-off speeds from 6 to 17.6 ​m ​s−1 including aerodynamic forces using the Runge-Kutta method. The calculated eFH at the landing points were used to divide the landing into low-impact, medium-impact, and high-impact zones.

Results

Medium sized jumps had a low-impact zone of sufficient length (>6 ​m) and eFH smaller than 1.5 ​m throughout the entire table meeting the BFU recommendations. Nevertheless, critical eFH larger than 1.5 ​m, were obtained when take-off speeds increased by only 1.14 ​m ​s−1. Large jumps had low-impact zone lengths in accord with the recommendations (>9 ​m), but high eFH (2.3–3.4 ​m) occurred for table landings. 10 of the 13 XL-jumps had long low-impact zones of approximately 12–15 ​m. Besides the risk of high impact landings towards the end of the landing area, as found similarly for the smaller jumps, portions of XL-jumps had very high eFH (2.6–4.6 ​m) for table landings.

Conclusions

The study confirmed the existing BFU recommendations of size categories, design parameters and landing impacts limits as prevalent and practicable and provided knowledge for future safety recommendations. Modifying table geometries and taking measures to limit the in-run speeds would help reduce landing impacts, and the hazard due to hard snow conditions should also be considered.

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