| 帆船航行最佳路径选取 |
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| 引用本文： | 鲍敬艳,任洁,林道荣.帆船航行最佳路径选取[J].数学的实践与认识,2012,42(5):107-113. |
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| 作者姓名： | 鲍敬艳 任洁 林道荣 |
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| 作者单位： | 南通大学计算科学与统计系,江苏南通,226007 |
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| 基金项目： | 江苏省教育厅自然科学基金，南通大学教学研究项目 |
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| 摘 要： | 通过对帆船在海面上航行的受力情况及运动情况简要的分析,在风向保持不变,风速以及浪高满足函数变化时,建立在一定区域内如何逆风航行使得航行时间最少的目标函数,借助拉格朗日函数和欧拉方程,数值求解出最佳航行路线,对帆船运动员在实际操练中有一定指导意义.
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| 关 键 词： | 帆船航行 拉格朗日函数 欧拉方程 最优路径模拟 |
Select the Best Path Sailing |
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| BAO Jing-yan
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REN Jie
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LIN Dao-rong.Select the Best Path Sailing[J].Mathematics in Practice and Theory,2012,42(5):107-113. |
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| Authors: | BAO Jing-yan REN Jie LIN Dao-rong |
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| Institution: | (School of Science,Nantong University,Jiangsu 226007,China) |
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| Abstract: | This article analyzes forces on the sailboard and movement status on the surface of the ocean,as in the unchanged wind direction,wind speed and wave height meeting the function how to wind the boat makes the minimum time on the course.With the help of the Lagrangian function and Euler equation,numeral solutes the best sailing routes.There are some significance for the sailors in the actual practice of the sailing. |
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| Keywords: | sailing lagrangian function euler equation optimal routing simulation |
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