The system evolves chaotic motions through period-doubling bifurcation or intermittence chaos while the system parameters vary.

当系统参数变化时，该系统可经过倍周期分岔进入混沌或产生阵发性混沌。

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Fixing the amplitude and changing the frequency of forced simulation, we find an evolution procedure of the system through period doubling route to chaos.

固定外加激励幅值，通过改变激励频率可以明显看出由单一周期解经由倍周期道路通往混沌的演化过程。

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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。

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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。

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