Primary resonance of a harmonically forced oscillator with a pair of symmetric set-up elastic stops
Primary resonance of a harmonically forced oscillator with a pair of symmetric set-up elastic stops
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DOI：
10.1006/jsvi.1997.1139
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发表时间：
1997-10
影响因子：
4.7
通讯作者：
Haiyan Hu
中科院分区：
文献类型：
--
作者：
Haiyan Hu
用平均法研究了具有对称弹性止动件的简谐受迫振子的主共振和稳定性。研究发现，设置弹性止动件大大增加了主共振的复杂性，如下。存在四种持续主共振和三种临界情况。随着激振频率的降低，许多持续共振的运动在开始接触设置的弹性止动件时变得不稳定。在一定的参数组合下，系统存在三个稳定的周期运动和两个不稳定的周期运动。
The primary resonance and the stability of a harmonically forced oscillator with a pair of symmetric set-up elastic stops are studied by means of the average approach. It is found that the set-up elastic stops greatly increase the complexities of the primary resonance as follows. Four kinds of persistent primary resonance and three critical cases exist. The motion of many of the persistent resonances becomes unstable when it begins to touch the set-up elastic stops with decrease of the excitation frequency. Moreover, there coexist three stable periodic motions and two unstable periodic motions at certain combinations of system parameters.