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題 名 | 含不完全隔間聲場之對偶邊界元素分析=Dual Boundary Element Analysis for a Acoustic Cavity with an Incomplete Partition |
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作 者 | 陳桂鴻; 陳正宗; 劉德源; | 書刊名 | 力學 |
卷 期 | 14:1 1998.06[民87.06] |
頁 次 | 頁1-11 |
分類號 | 334.3 |
關鍵詞 | 超奇異積分; 自然聲頻; 自然聲模; 退化邊界; 條件數; Hypersingularity; Acoustic frequencies; Acoustic modes; Degenerate boundary; Condition number; |
語 文 | 中文(Chinese) |
中文摘要 | 本文以對偶邊界積分方程式求解聲場之自然聲頻與聲模,並利用影響係數矩陣的 行列式直接搜尋法來求解自然聲頻,進而決定對應之自然聲模。於二維含不完全隔間之聲場 特性分析時,本文將奇異積分方程(UT式)及超奇異積分方程(LM式)之奇異積分(singular integral)與超奇異積分(hypersingular integral)轉換成正規積分(regular integral),並發展 出一套解自然聲頻與聲模的對偶邊界元素程式,藉由此程式可成功地求得任意二維內域含不 完全隔間聲場的自然聲頻與聲模,解決傳統邊界元素法於退化邊界所造成聲頻與聲模無法決 定的困難。最後,並以實例比較本法和解析解、多倒易法、有限元素法所得的數值結果與實 驗資料均當吻合,驗證了本文方法的可行性。 |
英文摘要 | In this paper, the dual boundary integral formulation is applied to solve the acoustic modes and frequencies of a two-dimensional cavity with degenerate boundaries. All the improper integrals for the kernel functions (UT in the singular equation and LM in the hypersingular equation) in the dual integral equations are reformulated into regular integrals by integrating by parts and are calculated by the Gaussian quadrature rule. After determining the influence matrix for the four kernel functions, the direct determinant search method is employed to find the acoustic frequecies. A general dual BEM program was developed to solve the nonuniqueness fro the problems with degenerate boundary when the traditional BEM was used. To demonstrate the validity of the present formulation, the acoustic frequencies and acoustic modes of the two-dimensional arbitrary cavity with an incomplete partition are determined by the developed dual BEM program. Also, the numerical results are compared with those of the ABAQUS program, FEM by Petyt and the dual multiple reciprocity method. Good agreement between the present formulation and measurements by Petyt is also achieved. |
本系統中英文摘要資訊取自各篇刊載內容。