A censored closure for predicting the extreme response of oscillators with non-linear damping.

The use of the Advanced Censored Closure, recently proposed by the authors for predicting the extreme response of linear structures vibrating under random processes, is extended to oscillators with non-linear damping driven by stationary white noise. The proposed approach requires the preventive knowledge of mean upcrossing rate and spectral bandwidth of the response, which are estimated through the stochastic averaging method. A numerical application to an oscillator with a linear-plus-cubic damping is presented, and the results are compared with those of the classical Poisson approach, and of Monte Carlo simulations