摘要
研究传统Spar平台在长周期规则波浪下的和型组合共振现象。考虑垂荡与纵摇运动的相互影响以及瞬时波面对于纵摇运动的参数激励作用,建立平台两自由度耦合运动方程。采用多尺度法导出了当波浪频率接近垂荡与纵摇固有频率之和时方程的一阶摄动解。针对一座实际Spar平台,通过求解幅值分岔方程,得到平台在不同波高下的运动响应并进行了数值模拟。计算结果发现,当波浪幅值超过某一极限值时,平台出现较大幅值的垂荡与纵摇亚谐共振运动。研究结果揭示了Spar平台出现和型组合共振的条件和组合共振时的动力特性。
The combination resonance response of sum type of a classic Spar platform is studied under long periodic regular wave. The nonlinear differential equations for heave and pitch are established considering the coupled effects between them and the time-varying incident wave elevation which is regarded as parametric excitation is also taken into account. The first order steady-state response is solved by the method of multiple scales when the incident wave frequency approaching the sum of heave natttral frequency and pitch natural frequency. The heave and pitch responses of a practical Spar platform am obtained by solving the bifurcation equation and numerical simulation. It is observed that the large amplitude sub-harmonic motion of heave and pitch mode are tripped when the wave height exceeds a certain value. The result shows the dynamic characteristics when the Spar platform appears combination resonance response of sum type and the factors.
出处
《海洋工程》
CSCD
北大核心
2009年第4期23-30,共8页
The Ocean Engineering
基金
国家自然科学基金资助项目(50879057)
国家"863"高技术研究发展计划资助项目(2007AA09Z30)
国家自然科学基金重点资助项目(50639030)
关键词
传统Spar平台
参数激励
和型组合共振
亚谐运动
classic Spar platform
parametric excitation
combination resonance of sum type
sub-harmonic motion
