5. Conclusions
Two approximate methodologies for the optimal design of viscous dampers have been presented in this study. The approaches allow controlling the maximum inter-storey drift by reducing at the same time the total damper forces applied to the viscous dampers that are known to be proportional to the total cost of the dampers. The first approximated approach allows a reduction in the number of simulations during the reliability analysis thanks to the implementation of a probabilistic model that exploits a linear regressions of the structural response vs. the seismic input intensity to calculate the input vector for the optimisation step.
The second methodology presented optimises the system by considering a single level of the seismic hazard during the input selection, and by studying the structural performances always over the same pre-defined set of accelerograms. This methodology is the least computational expensive due to the reduced number of structural analyses required for each optimisation loop.
Although a complete reliability based optimisation allows a more accurate design solution which ensures more strictly the performance objectives, the approximate approaches yield results relatively close in terms of optimal design at a fraction of the total computational cost. The obtain results show that for increasing values of the dampers nonlinearity both the damping viscous constant (i.e., design variable) and the objective function decrease. Thus, dampers with higher nonlinearity levels perform better than linear dampers. Further analyses involving structural systems other than the one investigated in this paper are however needed to generalize the obtained results.