Summary
This research is about the non-stationary probabilistic solution of the vibro-impact system under external Gaussian white noise. The unilateral barrier is adopted as the constraint to the system, and the constrained system is transformed into another system without barriers. The relevant Fokker-Planck equation is then formulated and solved by the non-stationary exponential-polynomial-closure (EPC) method. The results from the non-stationary EPC method are compared with those from Monte Carlo simulation (MCS) and equivalent linearization method (EQL). The result comparisons indicate that the non-stationary EPC method is much more efficient than MCS and can give much more accurate solution than EQL.
