| Global Geometric Analysis of Ship Rolling and Capsizing in Random Waves |
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| 作者姓名： | 王迎光 谭家华 |
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| 作者单位： | School of Naval Architecture Ocean and Civil Engineering，Shanghai Jiao Tong University，School of Naval Architecture，Ocean and Civil Engineering，Shanghai Jiao Tong University，Shanghai 200030，China，Shanghai 200030，China |
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| 摘 要： | The nonlinear biased ship rolling motion and capsizing in random waves are studied by utilizing a global geometric method.Thompson's α-parameterized family of restoring functions is adopted in the vessel equation of motion for the representation of bias.To take into account the presence of randomness in the excitation and the response,a stochastic Melnikov method is developed and a mean-square criterion is obtained to provide an upper bound on the domain of the potential chaotic rolling motion.This criterion can be used to predict the qualitative nature of the invariant manifolds which represent the boundary between safe and unsafe initial conditions,and how these depend on system parameters of the specific ship model.Phase space transport theory and lobe dynamics are used to demonstrate how motions starting from initial conditions inside the regions bounded by the intersected manifolds will evolve and how unexpected capsizing can occur.
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| 关 键 词： | 船舶 分析方法 波浪 设计方案 |
Global Geometric Analysis of Ship Rolling and Capsizing in Random Waves |
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| WANG Ying-guang,TAN Jia-hua.Global Geometric Analysis of Ship Rolling and Capsizing in Random Waves[J].China Ocean Engineering,2007,21(4):577-586. |
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| Authors: | WANG Ying-guang TAN Jia-hua |
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| Institution: | School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, China |
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| Abstract: | |
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| Keywords: | ship capsizing global geometric analysis stochastic Melnikov method invariant manifolds lobe dynamics |
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