Stationary response and first-passage failure of hysteretic systems under random excitations of Poisson white noise and its filtered processes

摘要

Stationary response and first-passage failure of hysteretic systems, such as bilinear and Bouc-Wen hysteretic models, are investigated under random excitations of Poisson white noise and its filtered processes by Monte Carlo simulation. Results are compared with those of hysteretic systems under random excitations of Gaussian white noise and its filtered processes in the same intensity condition. It is found that stationary probability densities of responses of hysteretic systems subject to Poisson white noise and its filtered processes are close to those subject to Gaussian ones when mean arrival rate of random impulses increases and first-passage failures are more likely to happen when excitations are Poisson white noise and its filtered processes for different values of intensity of random excitation.