| 采用双互易边界元法进行三维声场特征值分析的近似函数研究 |
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| 引用本文： | 王锋,黎胜,赵德有. 采用双互易边界元法进行三维声场特征值分析的近似函数研究[J]. 船舶力学, 2009, 13(1) |
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| 作者姓名： | 王锋 黎胜 赵德有 |
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| 作者单位： | 大连理工大学船舶工程系,辽宁,大连,116024;大连理工大学船舶工程系,辽宁,大连,116024;大连理工大学船舶工程系,辽宁,大连,116024 |
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| 摘 要： | 该文对应用双互易边界元法进行三维声场特征值分析时所用的近似函数进行了研究和讨论.分别以RBF函数、TPS函数和扩展的RBF和TPS函数作为近似函数对一长方体封闭空间声特征值进行了计算.计算结果表明:TPS函数得出的结果与其它函数相比是比较精确的,且收敛速度较快,但高次的TPS函数并没有显示出优势;TPS函数、扩展的TPS函数和RBF函数对于域内点的选取不太敏感.
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| 关 键 词： | 双互易边界元法 三维声场 特征值 近似函数 |
Research on the approximation functions in the dual reciprocity boundary element method for the three-dimensional acoustic eigenvalue analysis |
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| WANG Feng,LI Sheng,ZHAO De-you. Research on the approximation functions in the dual reciprocity boundary element method for the three-dimensional acoustic eigenvalue analysis[J]. Journal of Ship Mechanics, 2009, 13(1) |
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| Authors: | WANG Feng LI Sheng ZHAO De-you |
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| Affiliation: | Department of Naval Architecture;Dalian University of Technology;Dalian 116024;China |
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| Abstract: | This paper is concerned with the approximation functions in the Dual Reciprocity Boundary Element Method(DRBEM) for the three-dimensional acoustic eigenvalue analysis.The functions such as RBF(Radial Basis Functions), TPS(Thin Plate Spline Functions), ARBF(Augmented Radial Basis Functions) and ATPS(Augmented Thin Plate Spline Functions) are investigated.The acoustic eigenvalues of a rectangular acoustic cavity are numerically solved with the above functions using the DRBEM.The numerical results show that th... |
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| Keywords: | Dual Reciprocity Boundary Element Method 3-D acoustic field eigenvalue approximation functions |
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