用数学规划的方法优化跳台滑雪的起跳动作

Optimization of the Take-Off Movement of Ski Jumping with the Method of Mathematical Programming

本文以风洞实验、高速摄影和测力实验得到的有限的、离散的数据为依据,采用多刚体系统动力学理论和数学规划的方法,对跳台滑雪(以下简称跳雪)的起跳动作进行分析和优化,提出了跳雪起跳的最优技术动作.文中给出算例,与国内、外有关文献的结果比较,说明本文的计算与优化是合理的.

This paper is based on the finite and dispersed data which were obtained from the experiments of the wind tunnel and of the force measurement and from the high-speed photography. It analyses and optimizes the take-off movement of ski jumping with the theory of dynamics of systems of rigid bodies and with the method of mathematical programming. The paper describes the optimal take-off movement of ski jumping. Furthermore, it presents an example and compares the result with those of other papers published at home and abroad. The comparison shows that our computation and optimization are reasonable and well-grounded.