Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (1): 37-49 .doi: https://doi.org/10.1007/s10483-007-0105-1

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

ZENG Xiao-hui; SHEN Xiao-peng; WU Ying-xiang   

  1. Division of Engineering Sciences, Institute of Mechanics, Chinese Academy of Sciences,Beijing 100080, P. R. China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-01-18 Published:2007-01-18
  • Contact: ZENG Xiao-hui

Abstract: 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.

Key words: tension leg platform (TLP), finite displacement, nonlinear dynamic response, numerical solution, wave loads

2010 MSC Number: 

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