Optimal dissipative coupling design of two oscillators based on nonlinear stochastic response

The work proposes an optimization procedure for the design of a nonlinear dissipative coupling device of two oscillators subjected to stochastic dynamic excitation. Two simple oscillators connected by Bouc-Wen type hysteretic device describe the system. Zero-mean filtered white noise is the base excitation. The knowledge of the stationary response variances, evaluated by equivalent linearization permits to define the optimization problem to design the device. Finally, Monte Carlo simulations using filtered white noise and natural earthquake records at different levels of seismic magnitude conclude the evaluation of the procedure efficacy.