On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain
學年 109
學期 2
出版(發表)日期 2021-03-18
作品名稱 On the linkage between influence matrices in the BIEM and BEM to explain the mechanism of degenerate scale for a circular domain
作品名稱(其他語言)
著者 Jeng-Tzong Chen; Jia-Wei Lee; Yi-Ling Huang; Cheng-Hsiang Shao; Cheng-Hsuan Lu
單位
出版者
著錄名稱、卷期、頁數 Journal of Mechanics 37, p.339-345
摘要 In this paper, we proposed two ways to understand the rank deficiency in the continuous system (boundary integral equation method, BIEM) and discrete system (boundary element method, BEM) for a circular case. The infinite-dimensional degree of freedom for the continuous system can be reduced to finite-dimensional space using the generalized Fourier coordinates. The property of the second-order tensor for the influence matrix under different observers is also examined. On the other hand, the discrete system in the BEM can be analytically studied, thanks to the spectral property of circulant matrix. We adopt the circulant matrix of odd dimension, (2N + 1) by (2N + 1), instead of the previous even one of 2N by 2N to connect the continuous system by using the Fourier bases. Finally, the linkage of influence matrix in the continuous system (BIE) and discrete system (BEM) is constructed. The equivalence of the influence matrix derived by using the generalized coordinates and the circulant matrix are proved by using the eigen systems (eigenvalue and eigenvector). The mechanism of degenerate scale for a circular domain can be analytically explained in the discrete system.
關鍵字 degenerate scale;BEM;degenerate kernel;circulant matrix
語言 en
ISSN 1811-8216
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 J. T. Chen
審稿制度
國別 GBR
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/121386 )