ENFORCING RECIPROCITY IN NUMERICAL ANALYSIS OF ACOUSTIC RADIATION MODES AND SOUND POWER EVALUATION
ENFORCING RECIPROCITY IN NUMERICAL ANALYSIS OF ACOUSTIC RADIATION MODES AND SOUND POWER EVALUATION
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DOI：
10.1142/s0218396x12500051
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发表时间：
2012-09
影响因子：
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通讯作者：
H. Peters;N. Kessissoglou;S. Marburg
中科院分区：
文献类型：
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作者：
H. Peters;N. Kessissoglou;S. Marburg
通过识别流体加载振动结构的有效辐射声辐射模态，可以大大降低边界元法计算声功率时声阻抗矩阵的存储要求。为了计算声辐射模式，阻抗矩阵需要对称。然而，当使用边界元法时，经常发现阻抗矩阵是不对称的。本文分析了阻抗矩阵不对称性的来源，并提出了一种简单的对称性产生方法。必须避免在对称化阻抗矩阵时引入额外的误差。通过算例说明了阻抗矩阵的不对称性以及对称化对声功率的影响。应用本文提出的方法计算了水下船舶的辐射声功率。
By identifying the efficiently radiating acoustic radiation modes of a fluid loaded vibrating structure, the storage requirements of the acoustic impedance matrix for calculation of the sound power using the boundary element method can be greatly reduced. In order to compute the acoustic radiation modes, the impedance matrix needs to be symmetric. However, when using the boundary element method, it is often found that the impedance matrix is not symmetric. This paper describes the origin of the asymmetry of the impedance matrix and presents a simple way to generate symmetry. The introduction of additional errors when symmetrizing the impedance matrix must be avoided. An example is used to demonstrate the behavior of the asymmetry and the effect of symmetrization of the impedance matrix on the sound power. The application of the technique presented in this work to compute the radiated sound power of a submerged marine vessel is discussed.