| 仿生减摇鳍升力数学模型的全局误差与稳定性 |
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| 引用本文： | 李冬松,金鸿章.仿生减摇鳍升力数学模型的全局误差与稳定性[J].中国造船,2009,50(4). |
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| 作者姓名： | 李冬松 金鸿章 |
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| 作者单位： | 哈尔滨工程大学,自动化学院,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目，黑龙江省博士后资助经费项目 |
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| 摘 要： | 研究了零航速时仿生减摇鳍产生升力的数学模型,讨论了Weis-Fogh 机构如何旋转才能产生船舶减摇所需要的指定升力,其基础为Weis-Fogh 机构理论.首先把问题转化为求解微分方程问题,依据吕卡提方程,给出模型周期解的存在性和稳定性条件;然后采用单步Runge-Kutta方法求出模型的数值解,并分析数值解的全局误差;最后给出保证数值解稳定的条件,并用相应的数值试验予以验证.
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| 关 键 词： | 船舶、舰船工程 仿生减摇鳍 零航速 吕卡提方程 周期解 稳定性 |
The Global Error and Stability of Lift Mathematic Model of Fin Stabilizer |
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| LI Dong-song,JIN Hong-zhang.The Global Error and Stability of Lift Mathematic Model of Fin Stabilizer[J].Shipbuilding of China,2009,50(4). |
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| Authors: | LI Dong-song JIN Hong-zhang |
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| Abstract: | Based on the potential theory about Weis-Fogh mechanism, the lift model of fin stabilizer is researched on, when a ship is at zero speed. It is discussed that how to rotate Wesis-Fogh mechanism to generate the lifting force needed for antirolling. According to Riccati equation, the conditions which assure the existence and stability of period solution, are gaven. Using Rungr-Kutta methods, the numerical solution of the model is obtained, and the global error of discretization is investigated. The results are colsely matched by numerical experiments. |
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| Keywords: | ship engineering fin stabilizer zero speed Riccati differential equation period solution stability |
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