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中文摘要：
应用Monte-Carlo随机模拟法，分析了白噪声扰动下裂纹转子系统的非线性特性。着重研究了当随机扰动存在时，裂纹转子中刚度变化比、转速比等参数对系统分又及混沌行为的影响。数值模拟表明，在拟周期与混沌解及其临近的分叉参数区间，随机扰动对系统的响应有比较显著的影响，且随机扰动的幅值越大，其影响也越明显；而在周期解处，随机扰动对系统响应的影响比较小。
英文摘要：
The Monte-Carlo method is used to investigate the bifurcation and chaos characteristics of a cracked rotor with white noise processes as its random disturbance. Special attention is paid to the influence of the stiffness change ratio and the rotating speed ratio on the bifurcation and chaos response of the system. Numerical simulations show that the effect of the random disturbance is significant where the response of the rotor system is a quasi-periodic one or a chaos one, and such effect is small where the response is a periodic one.
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