http://scholars.ntou.edu.tw/handle/123456789/16793
標題: | A SEMI-ANALYTICAL APPROACH FOR DYNAMIC STRESS CONCENTRATION FACTOR OF HELMHOLTZ PROBLEMS WITH CIRCULAR HOLES | 其他標題: | 半解析法求解含圓型孔洞赫姆茲問題之動應力集中因子 | 作者: | Po-Yuan Chen Chia-Tsung Chen Jeng-Tzong Chen |
關鍵字: | SH-wave;dynamic stress concentration;half-plane problem;circular cavity;null-field integral equation;degenerate kernel;Fourier series;Helmholtz equation;剪力波、、、、,、 、;動應力集中;半平面問題;圓孔洞;零場積分方程式;退化核;傅立業級數;赫姆茲方程 | 公開日期: | 16-十二月-2005 | 出版社: | The 29th National Conference on Theoretical and Applied Mechanics | 會議論文: | The 29th National Conference on Theoretical and Applied Mechanics | 摘要: | In this paper, a semi-analytical approach is developed for the problem of dynamic stress concentration around circular cavities due to shear waves. To fully capture the circular geometries, separate expressions of fundamental solutions in the polar coordinate and Fourier series for boundary densities are adopted. The main gain of using degenerate kernels is free of calculating the principal values. An adaptive observer system is addressed to fully employ the property of degenerate kernels in the polar coordinate. After moving the null-field point to the boundary and matching the boundary conditions, a linear algebraic system is obtained and the unknown coefficients in the algebraic system can be easily determined. The present method is seen as a "semi-analytical" solution since error only attributes to the truncation of Fourier series. The proposed formulation is generalized to a half-plane problem with a circular cavity.本文發展一新方法來求解由 SH 波引致於圓形孔洞周圍之動應力集中因子。為 了充分利用圓形幾何外形,將基本解以分離核形式及邊界密度函數以傅立葉級數展開。使用退化核最主要可免去主值的計算。為了於極座標系統下充分使用退化核的特性,使用自適性參考座標系統。將觀察點移動至邊界並滿足邊界條件後,可獲得一個線性代數系統,且未知之傅立葉係數可輕易的被求得。誤差僅來自於所取之傅立葉級數項數的多寡。本法可廣泛應用於含圓形孔洞之全平面或半平面問題之分析。 |
描述: | December 16-17, 2005, NTHU, Hsinchu, Taiwan, R.O.C. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/16793 |
顯示於: | 河海工程學系 |
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