Damping Matrix

Damping matrices models a force acting on a body.

For linear damping matrices the force is calculated by \(\boldsymbol{F} = \boldsymbol{D}_1 \boldsymbol{v} \), where
\( \boldsymbol{D}_ 1\) is the linear damping matrix.

For quadratic damping matrices the force is calculated by \( \boldsymbol{F} = \boldsymbol{D}_2 \boldsymbol{v} | \boldsymbol{v} | \), where
\( \boldsymbol{D}_ 2\) is the quadratic damping matrix.

In both cases, the body velocity, \(\boldsymbol{v}\), depends on the choice of motion mode:

Note that for bodies of type 6 DOF - time domain the low frequency motion must be estimated to use either the low or wave frequency velocity.
If the low frequency motion estimation is not used the total motion will be used instead. See body.