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We investigate the action of time-dependent detunings upon the excitation inversion of a Cooper pair box interacting with a nanomechanical resonator.The method employs the Jaynes-Cummings model with damping,assuming different decay rates of the Cooper pair box and various fixed and time-dependent detunings. It is shown that,when the presence of damping plus constant detunings destroys the collapse/revival effects,convenient choices of time-dependent detunings allow one to reconstruct such events in a perfect way.It is also shown that the mean excitation of the nanomechanical resonator is more robust against damping of the Cooper pair box for convenient values of time-dependent detunings.