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半管滑雪场地模型设计

The design of half-pipe snowboarding field model
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摘要 建立了半管滑雪场地的优化模型,以提高运动员的腾空高度并完成更多复杂的技巧动作.主要分析了运动员在半管场地的曲型过渡滑道上的运动情况,包括摩擦力做功,能量转化等因素.这些因素都决定了运动员的起飞速度和腾空时间.在传统场地的设计中存在一定的缺陷,针对这些问题,模型首先采用与滑雪板长度相近的垂直滑道连接在过渡滑道上,又考虑到速度会受摩擦力的影响,为槽的长度,过渡轨道的弧度设定了适合的值,以尽量减少运动员的动能损失,从而保证足够大的腾空高度和缓冲地带长度以调整运动员的姿势来保持平衡. This paper propose a series of optimal designs of the snowboarding courses which will help the players gain more height and finish more complex movements in air. In this optimization model, we mainly focused on the smooth curve-shaped part of half-pipe, which consists of friction loss, the conversion of gravitational potential energy during slides and etc. All of these factors will necessarily affect player's take-off velocity and flight time. In order to solve these problems, the new models in which we conclude that the use of vert ensure slide out of the ditch, and the length of vert and snowboard should are same. Allow for effects on speed by friction, we set proper values for ditch's length and transition sideway's radius to minimize the loss of player's kinetic energy, and thereby guaranteeing sufficiently high speed and create enough large cushion area, which spare time for player to adjust body gesture and maintain his own balance.
出处 《纯粹数学与应用数学》 CSCD 2011年第4期544-549,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10671155)
关键词 半管滑雪场地 腾空时间 起飞速度 滑道 牛顿第二定律 half-pipe snowboarding filed, flight time, take-off velocity, slipway, the second Newtonian law
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