Radiation Damping Coefficients

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Radiation Damping Coefficients

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Theory

The layout of the radiation damping terms is shown below and this can be repeated as often as necessary to define the radiation damping over a sufficiently large range of frequencies:

FREQ= Frequency

where:

Frequency is the frequency value in Hz, to which the coefficients relate

RD11 is the surge radiation damping at the relevant frequency

RD22 is the sway radiation damping at the relevant frequency

RD33 is the heave radiation damping at the relevant frequency

RD44 is the roll radiation damping at the relevant frequency

RD55 is the pitch radiation damping at the relevant frequency

RD66 is the yaw radiation damping at the relevant frequency

and the remaining terms represent the radiation damping terms between various degrees of freedom at the relevant frequency.

DEGREEs OF FREEDOM and UNITS

The order of input specification is surge, sway, heave, roll, pitch, yaw. So the individual entries represent:

Units are as follows:

where:

F are force units e.g. N, kN, lbf, kip

M are moment units e.g. Nm, kNm, lbf.ft, kip.ft

V are velocity units e.g. m/s, ft/s

ω are rotational velocity units i.e. rad/s

Relevant Keywords

*RADIATION DAMPING is used to define radiation damping for a floating body.

If you would like to see an example of how this keyword is used in practice, refer to E02 - CALM Buoy - Complex.