【摘要】：從實(shí)驗(yàn)研究與理論分析兩個(gè)方面研究了垂直激勵(lì)低黏度硅油在低頻范圍內(nèi)的法拉第波的特性,觀測(cè)到奇特而且清晰的"油星星"和其他豐富的表面駐波圖案(2峰~8峰模態(tài)).通過系統(tǒng)的實(shí)驗(yàn)及理論研究,發(fā)現(xiàn)這類駐波是以重力為主要回復(fù)力的亞諧共振,并且采用無(wú)黏色散關(guān)系可以很好的描述這類表面波的色散關(guān)系.實(shí)驗(yàn)中將駐波圖案按照容器表面出現(xiàn)的波峰數(shù)目進(jìn)行分類,發(fā)現(xiàn)隨著驅(qū)動(dòng)頻率增大,駐波圖案的峰數(shù)增加,模態(tài)復(fù)雜化,對(duì)應(yīng)的驅(qū)動(dòng)振幅減小.通過對(duì)駐波圖案的波長(zhǎng)以及振動(dòng)閾值等進(jìn)行分析,較好的解釋了這一實(shí)驗(yàn)現(xiàn)象.本文的研究結(jié)果對(duì)充液剛性容器中的波動(dòng)問題的理論研究與工程應(yīng)用具有一定的參考意義.
[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.
【作者單位】： 燕山大學(xué)材料科學(xué)與工程學(xué)院;燕山大學(xué)理學(xué)院;燕山大學(xué)建筑工程與力學(xué)學(xué)院;
【基金】：河北省教育廳高等教育教學(xué)改革研究與實(shí)踐項(xiàng)目(2015GJJG029) 燕山大學(xué)研究生教育教學(xué)改革項(xiàng)目(JG201512)資助
【分類號(hào)】：O35

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