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用数学规划的方法优化跳台滑雪的起跳动作
引用本文:关汝华,李润.用数学规划的方法优化跳台滑雪的起跳动作[J].应用数学和力学,1992,13(7):645-650.
作者姓名:关汝华  李润
作者单位:吉林大学 (关汝华),吉林工业大学 (李润),吉林省电子技术研究所(于立然)
基金项目:国家自然科学基金资助项目
摘    要: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.

关 键 词:起跳动作  跳台滑雪  数学规划

Optimization of the Take-Off Movement of Ski Jumping with the Method of Mathematical Programming
Guan Ru-hua.Optimization of the Take-Off Movement of Ski Jumping with the Method of Mathematical Programming[J].Applied Mathematics and Mechanics,1992,13(7):645-650.
Authors:Guan Ru-hua
Abstract: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.
Keywords:mathematical programming  optimization  dynamics of systems of rigid bodies  ski jumping  
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