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                  3.3  Environmental Loads and Floating Structure Dynamics

                  3.3.1  Environmental Loads
                  According to API Rp 2T (1997),  the environmental loads to be considered in the design of
                  offshore structures include,
                     wind forces
                     current forces
                     wave loads
                     ice loads
                     wave impact forces
                     earthquakes
                     accidental loads
                     fire and blast loading
                 3.3.2   Sea loads on Slender Structures

                 For slender structures such as jackets, jack-ups, pipelines, risers and mooring lines, viscous
                  flow phenomena are of importance. Wave loads on slender structures may be predicted using
                 Morison equation, see Sarpkaya and Isaacson (1981)  and  Chakrabarti (1987).  The Morison
                 equation assumes the force is the sum of inertia and drag forces.
                 Vortex-induced vibration (VIV) occurs when the wavelcurrent flow cause resonance with the
                 natural frequency of the structure. For the design of pipelines and risers, it is necessary to
                 account for the wave-induced fatigue and VIV induced fatigue @ai, 2001).

                 3.3.3  Sea loads on Large-Volume Structures
                 When  the  size of  the  structure is comparable to  the  length  of  wave,  the pressure on the
                 structure may alter the wave field in the vicinity of the structure. In the calculation of wave
                 forces, it is then necessary to account for the diffraction of the waves from the surface of the
                 structure and the radiation of the wave from the structure if it moves (Charkrabarti, 1987).
                 First  Order  Potential  Forces:  Panel  methods  (also  called  boundary  element  methods,
                 integral equation methods or sink-source methods) are the most common techniques used to
                 analyze the linear steady state response of large-volume structures in regular waves (Faltinsen,
                  1990). They are based on potential theory. It is assumed that the oscillation amplitudes of the
                 fluid and the body are small relative to cross-sectional dimension of the body. The methods
                 can only predict damping due to radiation of surface waves and added mass. But they do not
                 cover viscous effects. In  linear analysis of response amplitude operator (RAO), forces and
                 response are proportional to wave amplitude and response eequency are primarily at the wave
                 frequency.
                 Second Order Potential Forces: The second order analysis determines additional forces and
                 responses that are proportional to wave amplitude squared. The second order forces include
                 steady force, a wide range of low frequency forces (which will excite surge, sway and yaw of
                 a moored floating system) and high frequency forces (which will excite roll, pitch and heave
                 springing of a TLP). The most common way to solve non-linear wave-structure problems is to
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