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題名 | 應用耦合之有限元素法及邊界元素法於潛體的結構噪音計算=An Application of Coupled Finite Element Method/Boundary Element Method to the Computation of Structural Acoustic Responses for Submerged Elastic Structures |
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作者 | 陳柏臺; 江國寧; 徐柏林; 傅學弘; Chen, P. T.; Chiang, K. N.; Shyu, B. L.; Fu, S. H.; |
期刊 | 中國造船暨輪機工程學刊 |
出版日期 | 19971100 |
卷期 | 16:4 1997.11[民86.11] |
頁次 | 頁63-72 |
分類號 | 444.1 |
語文 | chi |
關鍵詞 | 結構/流體交互作用; 耦合的有限元素法/邊界元素法; 聲場互易定理; 結構聲學; Fluid/structure interaction; Coupled FEM/BEM; Acoustic reciprocal principle; Structural acoustics; |
中文摘要 | 本文以耦合的有限元素法╱邊界元素法來計算彈性潛體結構體受到激振力時,所輻射出來噪音量,及所產生聲場壓力的分佈。彈性潛體結構以有限元素法來表示,而聲音介質對結構的作用則以邊界元素來表示。所對應的聲音負荷矩陣則根據表面聲場互易原理可以證明其為對稱,此負荷矩陣的實部對應至附加質量效應,而虛部則是輻射至遠場的阻尼效應,此外,代表結構動態特性的質量及勁度矩陣將其濃縮至結構體的表面法線位移自由度上,此濃縮是在單一特定振動頻率情形下,由濃縮矩陣及負荷矩陣組成了潛體在單一振動頻率下的運動方程式。本文舉了不同的數值實例:嵌在硬壁中的圓板,浸在液體中的圓球及橢圓對稱體的薄殼,計算其壓力,位移反應及在遠場的輻射圖形(Radiation pattern)。 |
英文摘要 | The paper presents a coupled FEM/BEM for solving fluid/structure interactions under monofrequency external loadings. The elastic structure is modeled by finite element method, and the acoustic loading is represented by a boundary element method which discretizes the boundary integral equation. The matrix associated with the acoustic loading on the structure is a symmetric complex valued matrix. The real part of the matrix is the added mass effect to the structure due to the acoustic medium, while the imaginary part of the matrix is related to the acoustic damping which radiates acoustic energy into far field. The structural equation is condensed to the normal direction of the structure in the wetted sturface. The condensation is under mono frequency vibration. The present analysis is illustrated by several examples: which are a baffled elastic circular plate, a spherical shell, and a spheroidal shell submerged in fluids. The responsive pressures, displacements, and far field radiation patterns are computed and compared to previously published analytical solutions and numerical results. |
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