Numerical investigation of a response probability density function of stochastic vibroimpact systems with inelastic impacts

The paper is devoted to numerical calculations of a response probability density function of stochastic vibroimpact systems excited by additive Gaussian white noise. An impact in the considered systems is modeled as a classical, inelastic one against motionless barrier(s) with values of a restitution coefficient both very small and close to unity. Certain empirical formulas are derived based on the results of numerical simulation.