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利用胞映射法分析了具有分段线性非线性特征的弹簧摇床的全局性态,用计算机数值模拟出该系统周期运动的时间历程及相应的周期运动的吸引域。结果表明,当弹簧阻尼系数为零时,存在多种周期运动,每一种周期运动都是不稳定的。
The global state of the spring shaker with piecewise linear nonlinearity is analyzed by using the cell mapping method. The time history of the periodic motion of the system and the corresponding attracting region of the periodic motion are simulated by computer numerical simulation. The results show that when the spring damping coefficient is zero, there are many kinds of periodic motion, and each kind of periodic motion is unstable.