In the steady state, the solutions of the governing equations are assumed to be
and
. Substituting these in eqns (16.1) and (16.2),
we get
(16.3)
(16.4)
Solving eqns. (16.3) and (16.4), we obtain
(16.5)
(16.6)
From eqns. (16.5) and (16.6), you may note that if the secondary system is tuned to the excitation frequency, i.e., its natural frequency is made equal to , then and . This implies that the primary system comes to rest, after tuning.
and
. Substituting these in eqns (16.1) and (16.2),
we get
is made equal to 
, then 
and 
. This implies that the primary system comes to rest, after tuning.
