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船舶在随机横浪中的全局稳定性

DOI: doi:10.3969/j.issn.1006-7043.2011.06.005

Keywords: 随机横浪, 随机Melnikov均方准则, 安全池, 全局稳定性

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Abstract:

为了提高船舶航行安全性,基于非线性动力学理论,以系统运动的全局分岔为出发点,研究了船舶在随机横浪中全局稳定性.将船舶在随机横浪中所受的随机激励项处理为一窄带随机噪声,考虑阻尼力矩和恢复力矩非线性因素的影响,建立了船舶在窄带随机噪声作用下的单自由度非线性随机微分方程,采用随机Melnikov方法对船舶在随机横浪中的全局稳定性进行了分析,并用安全池法进行了验证.研究表明,有界噪声模型可以很好地模拟船舶所受的随机外激励,当噪声强度大于临界混沌值时,船舶出现随机混沌运动,这种不稳定极易导致船舶倾覆.

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