Coefficient of Hydrodynamic & Motion of the Buoy Science & Maths Assignment Help

Assignment Task

Task    

1. Heave motion of a point wave energy absorber, in the form of a buoy, which is caused by an incident wave of frequency w and amplitude a, is described by the equation (m + ma)j) + (Ch + ce), + ky = Fi(t), (A) where m is the mass of the buoy, ma (o.)) is the added mass of the buoy, ch(w) is the coefficient of hydrodynamic damping due to waves radiated by the heaving buoy, the coefficient ce is proportional to the energy extracted from the motion of the buoy, k is the restoring coefficient due to the buoyancy force and a spring connecting the buoy with the bottom, Fi(t) = aF (co) cos(cot) is the hydrodynamic force acting on the buoy due to the incident wave, y(t) is the vertical displacement of the buoy from its equilibrium position. The functions ma (w), ch (w) and F(w) are given for to a 0.When the waves first arrive at the buoy, there are transient parts to the body motion which quickly decays as time progresses until a steady-state oscillation of the buoy is established. 


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