For fixed damping and fixed excited frequency the motion of the beam under small amplitude of force is periodic, but becomes chaotic through period doubling bifurcation with increase of the force.
对固定的参数激励频率和阻尼，当参数激励幅值较小时梁的运动是周期的，但大幅值激励会使运动通过倍周期分岔变为混沌。
The instability of the unbalanced system motion may result in doubling period bifurcation, almost periodic motion and chaotic motion.
存在不平衡量时，系统失稳可能产生拟周期分岔、倍周期分岔并可能导致混沌振动。
The instability of the unbalanced system motion may result in doubling period bifurcation, almost periodic motion and chaotic motion.
存在不平衡量时，系统失稳可能产生拟周期分岔、倍周期分岔并可能导致混沌振动。
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