【摘要】：分析無障薄板的聲輻射特性時通常忽略板厚對格林函數(shù)的影響而采用雙層勢計算.本文考慮板厚引起的聲輻射阻抗,采用混合勢計算結構表面聲壓與振速,并分析板厚對聲輻射參數(shù)的影響。根據(jù)交界相容性條件,采用邊界積分方程分別表示平板上下表面的聲壓和振速,并合并同類項.進一步將結構的動力方程代入混合勢形式的振速方程中,離散聲壓差值和板的位移為振動模態(tài)疊加的形式,獲得二重積分形式的聲輻射阻抗,從而求解振動模態(tài)系數(shù),確定聲輻射特性參數(shù).以水下簡支矩形板為例計算對比了聲輻射參數(shù),并討論了其對板厚的敏感性。結果表明:板厚引起的聲輻射阻抗對聲輻射參數(shù)的大小影響較小,但隨著頻率的增加致使共振頻率發(fā)生較大偏移;在相同階數(shù)的共振頻率范圍內,板厚度越大,采用雙層勢計算的誤差越大。
[Abstract]:In the analysis of acoustic radiation characteristics of barrier-free plates, the effect of plate thickness on Green's function is usually ignored and the double-layer potential is used to calculate. In this paper, the acoustic radiation impedance caused by plate thickness is considered. The mixing potential is used to calculate the sound pressure and vibration velocity on the surface of the structure, and the effect of the plate thickness on the acoustic radiation parameters is analyzed. According to the boundary compatibility condition, the sound pressure and vibration velocity of the upper and lower surfaces of the plate are represented by the boundary integral equation, and the same term is combined. Furthermore, the dynamic equation of the structure is substituted into the vibration velocity equation in the form of mixing potential. The discrete acoustic pressure difference and the displacement of the plate are in the form of superposition of vibration modes, and the acoustic radiation impedance in the form of double integral is obtained, so that the vibration mode coefficient can be solved. The parameters of acoustic radiation characteristics are determined. Taking the underwater simply supported rectangular plate as an example, the acoustic radiation parameters are calculated and compared, and the sensitivity to the thickness of the plate is discussed. The results show that the acoustic radiation impedance caused by the thickness of the plate has little effect on the acoustic radiation parameters, but with the increase of the frequency, the resonance frequency will shift greatly. In the resonance frequency range of the same order, the greater the thickness of the plate is, the larger the error of the calculation using the double-layer potential is.
【作者單位】： 海軍工程大學;
【基金】：國家自然科學基金項目(11372350) 海軍工程大學青年基金項目(HGDQNSQJJ13006)資助
【分類號】：O422.6

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