垂直激励低黏度硅油的法拉第波研究
发布时间:2019-01-23 13:50
【摘要】:从实验研究与理论分析两个方面研究了垂直激励低黏度硅油在低频范围内的法拉第波的特性,观测到奇特而且清晰的"油星星"和其他丰富的表面驻波图案(2峰~8峰模态).通过系统的实验及理论研究,发现这类驻波是以重力为主要回复力的亚谐共振,并且采用无黏色散关系可以很好的描述这类表面波的色散关系.实验中将驻波图案按照容器表面出现的波峰数目进行分类,发现随着驱动频率增大,驻波图案的峰数增加,模态复杂化,对应的驱动振幅减小.通过对驻波图案的波长以及振动阈值等进行分析,较好的解释了这一实验现象.本文的研究结果对充液刚性容器中的波动问题的理论研究与工程应用具有一定的参考意义.
[Abstract]:The characteristics of Faraday wave in the low frequency range of vertical excitation of low viscosity silicone oil are studied from two aspects of experimental study and theoretical analysis. Strange and clear "oil stars" and other abundant surface standing wave patterns (peak 2 ~ 8 mode) are observed. It is found that this kind of standing wave is subharmonic resonance with gravity as the main restoring force, and the dispersion relation of this kind of surface wave can be well described by using the nonviscous dispersion relation. The standing wave pattern is classified according to the number of wave peaks on the surface of the vessel. It is found that with the increase of driving frequency, the number of peaks of standing wave pattern increases, the mode is complicated, and the corresponding driving amplitude decreases. By analyzing the wave length and vibration threshold of standing wave pattern, the experimental phenomenon is explained. The results of this paper have some reference significance for the theoretical study and engineering application of the wave problem in liquid-filled rigid vessels.
【作者单位】: 燕山大学材料科学与工程学院;燕山大学理学院;燕山大学建筑工程与力学学院;
【基金】:河北省教育厅高等教育教学改革研究与实践项目(2015GJJG029) 燕山大学研究生教育教学改革项目(JG201512)资助
【分类号】:O35
本文编号:2413838
[Abstract]:The characteristics of Faraday wave in the low frequency range of vertical excitation of low viscosity silicone oil are studied from two aspects of experimental study and theoretical analysis. Strange and clear "oil stars" and other abundant surface standing wave patterns (peak 2 ~ 8 mode) are observed. It is found that this kind of standing wave is subharmonic resonance with gravity as the main restoring force, and the dispersion relation of this kind of surface wave can be well described by using the nonviscous dispersion relation. The standing wave pattern is classified according to the number of wave peaks on the surface of the vessel. It is found that with the increase of driving frequency, the number of peaks of standing wave pattern increases, the mode is complicated, and the corresponding driving amplitude decreases. By analyzing the wave length and vibration threshold of standing wave pattern, the experimental phenomenon is explained. The results of this paper have some reference significance for the theoretical study and engineering application of the wave problem in liquid-filled rigid vessels.
【作者单位】: 燕山大学材料科学与工程学院;燕山大学理学院;燕山大学建筑工程与力学学院;
【基金】:河北省教育厅高等教育教学改革研究与实践项目(2015GJJG029) 燕山大学研究生教育教学改革项目(JG201512)资助
【分类号】:O35
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1 巫晨云;王新龙;;法拉第共振次谐波激发的进一步研究[A];中国声学学会2002年全国声学学术会议论文集[C];2002年
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