高山滑雪板力学特性分析

Analyses of mechanical characteristics for alpine ski

高山滑雪运动是一项技术性很强的运动,滑雪板的特性直接影响着运动的效果,因此对滑雪板的研究有很大的现实意义.用数值研究的方法,从滑雪板的几何特性出发,在转弯半径关系式的基础上推导了滑雪板转弯运动时的约束方程,建立了单刚体人体滑雪运动的广义L agrange-R ou th动力学方程,并对人体在平地和斜坡两种情况下的滑雪运动进行了数值仿真与分析.计算结果符合实际的实验结果,表明所建立的力学模型能较好地反映滑雪运动的力学特性,进而增强了对滑雪运动本质的理解,并为进一步的运动仿真提供必要的理论基础.

Alpine skiing was a skillful sport. A ski had a great effect on sport so that a study would be useful for it. A model of alpine ski is presented on the basis of skiing turn radius by numerical methods. To verify the proposed model, the motion differential equations of one rigid human model were obtained with the generalized Lagrange-Routh Equation. Then some examples about the skier on flat and slope ground were given. Finally, some related conclusions were drawn. The results show that the model can exhibit true characteristics of skiing quite well and help to understand the truth of this sport. It provides a necessary theoretical model to further studies on this sport.