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Forced Response Analysis
If external forces are present, then the forced response of the oscillation system is of interest, namely the amplitudes and phases of all the blades after the transients have decayed. For this reason, it is sufficient to set A = и in Eq. 4, because и is now known in advance to be the frequency of the excitation force F and hence is also the oscillation frequency in which the coupled aeroelastic system responds. The resulting linear system of equations
[—u2m + iuD + (k + c)]a = F
can then be directly solved. In doing so, the appropriate dynamic properties of the individual blades and modes are inserted in the corresponding matrices for any prescribed value of the excitation frequency u.
