Head Seas Approximation

This method is simplified by assuming that the vessel is in head seas. The sectional Froude-Krilov and diffraction forces are obtained which makes this method suitable for the loads calculations.

 

The head seas approximation to the sectional Froude-Krilov wave force is given in Equation ( 31 ), note that this equation includes the water density, r, and the wave amplitude, z. This follows the work of Salvesen et al. (1970), Equations STF-32, 33

 

 

( 31 )

 

Expanding the sine and cosine terms, this may be rewritten as follows:

 

( 32 )

 

where:

 b

is the total section beam.

 d

is the section draught.

 As

is the section area.

 

is the section area coefficient. Note that .

 

Secondly, the head seas approximation to the sectional diffraction wave force is given in Equation ( 33 ), note that this equation includes the water density, r, and the wave amplitude, z:

 

 

( 33 )

 

Expanding the sine and cosine terms, this may be rewritten as follows:

 

 

( 34 )

 

where:

 

a33

is the section added mass in heave.

b33

is the section damping in heave.