中文摘要：

考虑立管、张力腿及平台本体的非线性耦合，建立六自由度的振动微分方程。推导了方程中的质量矩阵、耦合刚度矩阵、阻尼矩阵及波浪荷载的计算公式。采用微元法对立柱和浮筒进行离散，求得方程数值解。比较分析了四种工况下张力腿平台的耦合动力响应、张力腿及立管张力的变化，揭示了波浪周期、波高、浪向角、预张力、工作水深等多因素对张力腿平台运动响应的影响。

英文摘要：

Differential equations of TLP＇s motion with six degrees of freedom are set up considering riser, tendon stiffness and some other coupling nonlinearity. Mass matrix, coupled stiffness matrix, damping matrix and external loads are calculated. Infinitesimal method is applied to dividing column and pontoon into small parts. Numerical solution of differential equation of vibration is solved. Coupled dynamic response, change in tension of tendon and riser under four load conditions are compared. Influence of wave period, wave height, approach angle, pretension and water depth on the response of TLP is discussed. Comprehensive characteristics of TLP＇s dynamic response are indicated.