Design sensitivity analysis of frequency response functions and steady-state response for structures with viscoelastic dampers

In this paper, the design sensitivity of the frequency response function and amplitudes of the steady-state vibration of planar frames with viscoelastic (VE) dampers mounted on them is considered. The dampers are modeled using a five-parameter rheological model with fractional derivatives. The design sentisivity with respect to change of damper parameter is analyzed in detail. The direct method is used to determine the first and the second order sensitivities. Moreover, the results of typical calculations are presented and discussed.