Governing equations and numerical solutions of tension leg platform with finite amplitude motion

被引:16
|
作者
Zeng Xiao-hui [1 ]
Shen Xiao-peng [1 ]
Wu Ying-xiang [1 ]
机构
[1] Chinese Acad Sci, Inst Mech, Div Engn Sci, Beijing 100080, Peoples R China
关键词
tension leg platform (TLP); finite displacement; nonlinear dynamic response; numerical solution; wave loads;
D O I
10.1007/s10483-007-0105-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is demonstrated that when tension leg platform (TLP) moves with finite amplitude in waves, the inertia force, the drag force and the buoyancy acting on the platform are nonlinear functions of the response of TLP. The tensions of the tethers are also nonlinear functions of the displacement of TLP. Then the displacement, the velocity and the acceleration of TLP should be taken into account when loads are calculated. In addition, equations of motions should be set up on the instantaneous position. A theoretical model for analyzing the nonlinear behavior of a TLP with finite displacement is developed, in which multifold nonlinearities are taken into account, i.e., finite displacement, coupling of the six degrees of freedom, instantaneous position, instantaneous wet surface, free surface effects and viscous drag force. Based on the theoretical model, the comprehensive nonlinear differential equations are deduced. Then the nonlinear dynamic analysis of ISSC TLP in regular waves is performed in the time domain. The degenerative linear solution of the proposed nonlinear model is verified with existing published one. Furthermore, numerical results are presented, which illustrate that nonlinearities exert a significant influence on the dynamic responses of the TLP.
引用
收藏
页码:37 / 49
页数:13
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