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中文摘要：
深吃水半潜式平台（deep draft semi-submersible,DDS）作为一种新型海洋结构物,既继承了传统半潜式平台的优点,又改善了传统半潜式平台垂荡运动性能差的不足。但随着吃水的增加,DDS纵摇运动参数共振也成为一个不容忽视的问题。当DDS纵摇运动固有周期和垂荡运动周期满足一定关系时,纵摇运动将发生参数共振,纵摇角度将会显著增大。研究推导了DDS纵摇运动方程,并简化为标准的马修方程,运用希尔无穷行列式法求解马修方程,得到了含阻尼的马修稳定性图谱,并结合具体算例讨论了不同参数对DDS纵摇运动参数共振问题的影响。研究表明：深吃水半潜式平台的参数共振,是设计人员在设计之初必须考虑的问题;通过合理选取平台的系统参数,可以有效避免纵摇运动参数共振现象的发生。
英文摘要：
Parametric resonance of a Deep Draft Semi-submersible（ DDS） platform is studied. As a new offshore structure,DDS not only inherits the advantages of traditional semi-submersible platform,but also improves its heave performance. But with the draft increasing,parametric resonance of DDS pitch motion cannot be ignored. When DDS pitch motion natural period and heave motion period satisfy a certain relationship,parametric resonance of pitch motion will occur,and the pitch angle will increase significantly. For the present problem,the pitch motion governing equation of DDS is established,then the equation is simplified to Mathieu equation.Mathieu equation is solved by the method of Hill infinite determinant,then Mathieu stability diagram with damping is obtained. Based on specific examples,the effect of different parameters on the DDS pitch motion parametric resonance is studied. The result shows that parametric resonance of a DDS platform must be taken into consideration in its conceptual design stage; meanwhile,parametric resonance can be effectively avoided by choosing the reasonable parameters of DDS.
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