一种特殊瞬态动力学现象释疑

Explanation on a special phenomenon in transient dynamics

引入瞬态平衡点的概念 ,来解释一种简单的摆式减振器模型中的瞬态动力学行为中的一种特殊现象 :即振子从开始小幅振动突然增大最后达到大幅振动 ,而减振摆也从铅垂位置附近的小幅振动过渡到绕悬挂点的圆周运动。分析表明 。

The transient dynamics of an externally excited oscillator attached with a pendulum as the suppressor is studied. With badly chosen parameters, the vibration of oscillator abruptly increases after a while of small amplitude motion, at the same time, the pendulum begins to rotate about the attached point. To explain this special phenomenon, the concept of transient equilibrium is introduced. It is shown that the transient motion of systems always oscillates near its transient equilibrium, that the reason of the phenomenon is the change of the transient equilibrium.