Abstract
Tension leg platforms (TLPs) are well-known structures for oil exploitation in deep water. One of the current issues in compliant structures in the sea is variation in frequency and structural response due to a nonlinear parameter in the equation of motion. Variation of frequency is important in fatigue life study of tethers. A perturbation method is used in contrast to the traditional methods. This method does not require a small parameter for finding surge motion of TLP. In this paper, homotopy perturbation method (HPM) is used to solve a highly nonlinear differential equation of surge motion. Calculated responses by HPM are compared with those obtained from both linear and nonlinear equations of motion. Numerical method is used for solving nonlinear equation of motion and ordinary differential method is used for linear equation of motion. It is very useful for a design engineer to have a deep view of nonlinear vibration behaviour of systems which are naturally nonlinear like TLP.
Published Version
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