| 参一强激励作用下的Spar平台非线性纵摇运动响应分析 |
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| 引用本文： | 赵晶瑞,唐友刚.参一强激励作用下的Spar平台非线性纵摇运动响应分析[J].中国海洋平台,2012(3):26-31,47. |
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| 作者姓名： | 赵晶瑞 唐友刚 |
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| 作者单位： | 1. 中海油研究总院,北京100027;天津大学,天津300072
2. 天津大学,天津,300072 |
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| 基金项目： | 国家“八六三”项目（2007AA09230）;国家自然科学基金项目（NO.50879057）;国家自然科学基金重点项目（NO.50639030）. |
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| 摘 要： | 考虑垂荡运动和波浪激励力矩的双重影响,建立Spar平台参一强联合激励下的纵摇运动方程。应用摄动法求得当垂荡频率与纵摇固有频率比接近2:1时纵摇方程的一阶近似解,并分析了方程零解与定常周期解的运动稳定性。以一座试验Spar平台为例,计算了该平台在长周期涌浪下纵摇运动的时域响应。
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| 关 键 词： | Spar平台 参激纵摇运动 分岔现象 亚谐共振运动 |
Analysis on Nonlinear Pitch Response of a Spar Platform under Parametric Excitation and Forced Excitation |
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| ZHAO Jing-rui
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TANG You-gang.Analysis on Nonlinear Pitch Response of a Spar Platform under Parametric Excitation and Forced Excitation[J].China offshore Platform,2012(3):26-31,47. |
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| Authors: | ZHAO Jing-rui TANG You-gang |
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| Affiliation: | 1. CNOOC Research Institute, Beijing 100027, China; 2. Tianjin University, Tianjin 300072, China) |
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| Abstract: | The parametric and forcing excited differential equation for pitch motion of a Spar platform is established with considering the effects of heave motion and wave exciting moment. The first-order approximate solution of the Mathieu equation is solved by the pertur- bation method when the heave frequency is approximately double the pitch natural frequency. The stabilities of trivial solution and steady-state periodic solution are analyzed according to the nonlinear dynamic theory. As a example, the pitch response of a spar model is obtained under long periodic swell. |
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| Keywords: | Spar platform parametric excited pitch motion bifurcation behavior sub-harmonic resonance motion |
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