| 改进型声学边界元级数多频算法 |
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| 引用本文： | 缪宇跃,李天匀,朱翔,郭文杰.改进型声学边界元级数多频算法[J].声学学报,2016,41(4):485-493. |
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| 作者姓名： | 缪宇跃 李天匀 朱翔 郭文杰 |
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| 作者单位： | 1 华中科技大学船舶与海洋工程学院 武汉 430074; |
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| 基金项目： | 国家自然科学基金(51379083,51479079,51579109)和高等学校博士学科点专项科研基金(20120142110051)资助 |
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| 摘 要： | 对于声学多频分析问题,研究者提出了一种声学边界元级数多频算法节省了重复计算频率无关项的时间,但这种原始算法受到多项式拟合的Runge现象限制,计算频段较窄。进一步改进此原始方法,提出了级数截断项数的选取原则,加入波数因子调整自变量区间避免Runge现象,消除了原始算法的不稳定性,拓展了级数多频算法的适用范围。声辐射计算实例证明了改进的级数多频算法的正确性,所需级数截断项数更少,降低了计算量,能够应用于更高频段的声学分析。
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| 关 键 词： | 多频 级数展开 边界元法 计算频率 多项式拟合 声辐射 Runge 插值法 系数矩阵 无关项 |
| 收稿时间： | 2015-01-31 |
An improved series expansion method on the multi-frequency analysis of acoustic boundary element |
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| Institution: | 1 School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology Wuhan 430074;2 Hubei Key Laboratory of Naval Architecture & Ocean Engineering Hydrodynamics Wuhan 430064;3 National Key Laboratory on Ship Vibration & Noise Wuhan 430074 |
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| Abstract: | For the multi-frequency acoustic analysis, a series expansion method has been introduced to reduce the computation time of the frequency-independent parts, but the Runge phenomenon will arise when this method is employed in high frequency band. Therefore, this method is improved by analyzing the application condition and proposing the selection principle of the series truncation number. The independent variable interval can be adjusted with the wavenumher factor. Therefore, the problem of unstable numeration and poor precision can be solved, and the application scope of this method is expanded. The numerical example of acoustic radiation shows that the improved method is correct for acoustic analysis in wider frequency band with less series truncation number and computation amount. |
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