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工程力学  2012 

深水半潜式平台Mathieu不稳定问题研究

DOI: 10.6052/j.issn.1000-4750.2011.01.0063, PP. 347-353

Keywords: 半潜式平台,垂荡,纵摇,Mathieu,不稳定,固有周期,参数共振

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Abstract:

半潜式平台的垂荡运动相对较大,当平台的纵摇固有有周期和垂荡固有周期处于一定的倍数关系时,平台的纵摇/横摇运动可能落入Mathieu不稳定区。该文对半潜式平台Mathieu方程进行了推导,获得了各参数的计算公式;根据Mathieu不稳定图谱或数值计算方法,可判断纵摇/横摇运动的稳定性。选取了一个生存状态下的半潜式平台为算例,分析了平台发生Mathieu不稳定问题的条件,并通过调整关键参数抑制不稳定问题的发生,从而获得了避免Mathieu不稳定问题的工程措施,为今后半潜式平台设计提供参考。

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