本文利用数值模拟技术(NST)及蒙特卡罗方法(MCM)对非自治非线性随机杜芬系统(NANLSDFS)的随机振动性态进行研究,获得了NANLSDFS演化的概率密度流及其位移-速度联合概率密度流,发现NANLSDFS存在时间分岔、结构分岔、鞍点处的驼峰、倍频运动、相空间中的双峰极限环等特征,并对这些特征的性质及意义进行了探讨 In this paper, we investigate the random vibration behavior of non-autonomous Non-linear Random Duffin System (NANLSDFS) using NST and MCM, and obtain the probability density flow of NANLSDFS evolution and its displacement-velocity combination Probability density flow, we find that NANLSDFS has some characteristics such as time bifurcation, structural bifurcation, hump at saddle point, double frequency limit, and double-peak limit cycle in phase space, and discusses the nature and significance of these features