Quenching of vibration modes on two interconnected buildings subjected to seismic loads using magneto rheological device

In this paper, we describe the statistical responses of two buildings subjected to the repeated sequence of excitation. The nonstationary random approach is employed to simulate seismic events. The cantilever Timoshenko beam approach is used to model each of buildings and therefore are connected via a magneto-rheological (MR) damper device. The Lyapunov approach is adopted to seek for a voltage leading to a good control. Root mean square value is considered to foresee the effect of the control device along with the position on the effectiveness of the strategy. The starting times for which the shock absorber become efficient is obtained numerically and presented at each mode.