I understand that in (*) you have to compute 1 square root, have to make
sure that |v|>0 etc, making (**) more efficient,
There would be no square root even in (*). On this aspect it is almost exactly the same. You simply use a unique sign(v1f1+v2f2+v3f3) corresponding to a unique damping coefficient in (*), vs. three sign(f1v1), sign(f2v2), sign(f3v3) for three independant damping of the DOF's in (**).

B.


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