Summary
This work studies an effective and straightforward approach to investigate the response of impact systems driven by both period and random excitations. A single-degree-of-freedom impacting system with a one-sided soft constraint is considered in this study. The critical noise intensity for noise-induced bifurcation is estimated by utilising stochastic sensitivity analysis and confidence ellipses. The jump location of the stochastic attractor is identified based on the maximum eigenvalue evolution of the stochastic sensitivity function. Extensive simulations are provided to validate the effectiveness of the proposed approach. The potential for switching control of coexisting attractors under stochastic perturbation is also investigated.
