仿生减摇鳍升力数学模型的全局误差与稳定性  

The Global Error and Stability of Lift Mathematic Model of Fin Stabilizer

作　　者：李冬松 金鸿章[1] 

机构地区：[1]哈尔滨工程大学自动化学院,哈尔滨150001

出　　处：《中国造船》2009年第4期28-35,共8页Shipbuilding of China

基　　金：国家自然科学基金资助项目(50575048);黑龙江省博士后资助经费项目(LBH-205052)

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。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.

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 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置]