http://scholars.ntou.edu.tw/handle/123456789/16795
標題: | Applications of regularized meshless method in engineering problems | 其他標題: | 正規化無網格法在工程上之應用 | 作者: | Jeng-Hong Kao Kue-Hong Chen Jeng-Tzong Chen |
關鍵字: | regularized meshless method;subtracting and adding-back technique;method of fundamental solutions;piezoelectricity;multiple inclusions;multiple holes;spurious eigenvalue;acoustics;正規化無網格法;一加一減法;基本解法;壓電;多夾雜;多孔洞;假根;聲場 | 公開日期: | 15-十二月-2006 | 出版社: | The 30th National Conference on Theoretical and Applied Mechanics | 會議論文: | The 30th National Conference on Theoretical and Applied Mechanics | 摘要: | In this paper, we employ the regularized meshless method (RMM) to solve antiplane shear and antiplane piezoelectricity problems with a multiple inclusions and acoustic eigenproblem with multiply-connected domain. The solution is represented by a distribution of double-layer potentials. The subtracting and adding-back technique is used to regularize the singularity and hypersingularity of the kernel functions. Only boundary nodes on the real boundary are required by using the proposed technique in a different way of conventional MFS by distributing singularities on fabricated boundary. Finally, the numerical results demonstrate the accuracy of the solutions after comparing with analytical solutions and those of BEM, FEM and PM. Good agreements are obtained. 本文藉由正規化無網格法求解含多夾雜之反平面剪力及反平面壓電材問題與多連通聲場特徵值問題。以雙層勢能來表示整個場解,並配合一加一減技巧來正規化處理奇異及超奇異核函數。我們所提出的方法有別於傳統基本解法須將源點佈在虛假邊界上,可將奇異源放在真實的邊界上。最後,數值結果將與解析解,邊界元素法,有限元素法及配點法做比較,獲得一致性的結果。 |
描述: | December 15-16, 2006, DYU, Changhwa, Taiwan, R.O.C. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/16795 |
顯示於: | 河海工程學系 |
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