Response analysis of two-degree-of-freedom impact oscillator to random excitation
随机激励下二自由度碰撞振动系统的响应分析

The response of a two-degree-of-freedom impact oscillator to random excitation is investigated. The existence of grazing bifurcation involved in the period-doubling bifurcation is shown clearly. The effects of the random excitation are studied by defining a measure of the stochastic response. The idea that the random factor can change the property of the system in some conditions is proposed. Numerical simulations show that the method is effective.