Conclusions
This paper investigates the seismic performance of existing buildings frames coupled with external dissipative towers consisting of a steel truss, hinged at the foundation level, whose rocking motion promotes the dissipation of energy by means of viscous dampers. The system at hand is non-classically damped, being the energy dissipation concentrated at the tower base, and a suitable formulation is proposed for its analysis. In particular, a state-space approach and a complex modal analysis of the coupled system is proposed to evaluate the influence of the added tower stiffness and damping on both the dynamic and seismic behaviour, by highlighting the contribution of each of the complex vibration modes to the global seismic response. In order to evaluate benefits and drawbacks of the system, a parametric study is carried out, by considering several retrofit configurations which differ for the levels of added stiffness (tower-to-frame stiffness ratio κ = 1 and κ = 0.5) and dissipation capacity (damping ratio ξadd = 0.15 and ξadd = 0.3). The cases of the bare building (Uncontrolled) and of an infinitely stiff tower (Stiff), providing an added damping contribution of 30%, are also considered for comparison purposes.