Impact of depth and location of the wells on vibrational resonance in a triple-well system

Impact of depth and location of the wells on vibrational resonance in a triple-well system
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DOI:
10.1007/s12043-018-1539-8
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发表时间:
2018-04-01
影响因子:
2.8
通讯作者:
Ning, Lijuan
Ning, Lijuan
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Chen, Zhijuan;Ning, Lijuan

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在低频力和高频力驱动的五次振荡器中研究了三阱势的深度和位置对振动共振的影响。低频值。从数值和理论上推导了发生振动共振时的高频力的振幅g。发现:如。变化时,最多发生一次共振,共振时的响应幅度取决于势阱的深度和位置。当 g 改变时,孔的深度和位置可以控制共振的数量,从而产生两个、三个和四个共振。通过控制井的深度和位置可以调整系统参数,以达到最佳的振动共振。此外,发现三稳态系统中这两个量引起的变化比双稳态系统中引起的变化更丰富。
The effect of depth and location of a triple-well potential on vibrational resonance is investigated in a quintic oscillator driven by a low-frequency force and a high-frequency force. The values of low-frequency. and amplitude g of the high-frequency force at which vibrational resonance occurs are derived both numerically and theoretically. It is found that: as. varies, at most one resonance takes place and the response amplitude at resonance depends on the depth and the location of the potential wells. When g is altered, the depth and location of wells can control the number of resonances, resulting in two, three and four resonances. The system parameters can be adjusted by controlling the depth and position of the wells to achieve optimum vibrational resonance. Furthermore, the changes induced by these two quantities in the tristable system are found to be richer than those induced in bistable systems.