Until recently, risers were designed considering only few regular sea analyses and high safety factors. The increase of the computers processing capability and the simultaneous reduction of their costs, however, allowed riser designers to change their project procedures. Nowadays, risers can be designed considering not only much more analyses, but also more complex ones. Following this new tendency, methodologies that aim to reduce the computational costs of random analyses represent an important research line. The main purpose of this work is to develop a methodology based on polynomial models to predict time series of a riser response parameter. This methodology considers as inputs the movements of the platform caused by wind, wave and current. The desired response parameter investigated in this paper is the top tension, although the procedure to evaluate stresses is very similar. This methodology can be applied in the initial phases of the riser project, accelerating the selection of a structure that satisfies project criteria, and in the representation of the riser dynamic response in coupled analyses, reducing their computational costs.

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