Shear Force and Bending Moment due to Ship Motion in a Seaway

Equation 64 of  Salvesen Tuck and Faltinsen (1970) is reproduced here as Equation ( 75 ) and gives the resultant shear force / bending moment of a hull in a seaway as:

 

( 75 )

 

where:

Vj     is the resultant shear force or bending moment.

Ij      is the inertial component.

Rj     is the hydrostatic (restoring) component.

Ej     is the wave excitation term.

Dj      is the hydrodynamic component.

j       is the degree of freedom 1 to 6.

 

The components are calculated by separate modules. For a specified degree of freedom, each module return the complex coefficients of . So we may write as

 

( 76 )

 

The amplitude and phase of the resultant shear force or bending moment is immediately available from the complex addition of the coefficients of .