张力腿平台在随机波浪中的耦合运动响应研究

Studies on coupling dynamic response of TLP in stochastic waves

文章研究了张力腿平台在随机波中长期海况下的耦合响应。推导了振动微分方程中的质量矩阵、耦合刚度矩阵、阻尼矩阵和运动坐标系下张力腿平台波浪外荷载。采用微元法对立柱和浮筒进行离散,运用龙格—库塔法对运动微分方程进行了数值求解。海浪谱采用Jonswap谱,随机波采用蒙特卡罗法来模拟,对不同海况下张力腿平台耦合动力响应、张力腿张力变化进行了能量谱分析。并且比较分析了不同浪向角、不同谱峰周期对平台运动响应的影响。对考虑耦合与不考虑耦合张力腿平台响应进行了比较。

The coupled response of a tension leg platform （TLP） in random waves characterized by a long crested sea spectrum is investigated. Mass matrix, coupling stiffness matrix, damping matrix and external load are calculated. Infinitesimal method is applied by dividing column and pontoon into small parts. Time domain motion equation is solved by Runge-Kutta integration method. The random wave is generated by Monte-Carlo simulation with Jonswap Spectrum. Coupling dynamic response, change of tendon and riser in different sea states are analyzed by power spectral density （PSD）. The influence of approach angle, peak period on dynamic response of TLP is compared. Finally, the response of TLP considering coupling and without considering coupling is compared.