The offshore industry is moving to ever-increasing water depths, producing presently oil in depths of up to 2,500m, requiring detailed fatigue calculations for the risers and tendons used in the floating structures, see [1, 2]. Currents in the ocean are invariably highly sheared, hence the modes that can potentially be excited are many, see [3]. The calculation of how many and which modes are excited, can affect fatigue life very significantly, but there are no guidelines presently available for conducting this calculation.

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