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| The relationship between acoustic radiation modes and structural modes and its applications | |
| 引用本文： | LI Shuang CHEN Ke＇an. The relationship between acoustic radiation modes and structural modes and its applications[J]. 声学学报：英文版, 2007, 26(2): 158-167 |
| 作者姓名： | LI Shuang CHEN Ke＇an |
| 作者单位： | College of Marine, Northwestern Polytechnieal University Xi＇an 710072 |
| 基金项目： | 西北工业大学校科研和教改项目;国家自然科学基金 |
| 摘 要： | Both acoustic radiation modes and structural modes play an important role in the field of structure-borne sound, however, little work has been done for inherent relations between these two kinds of modes. This paper is focused on the relationship between the radiation modes and structural modes and its physical mechanisms. First, a governing equation for relating the radiation mode and structural mode is given based on the characteristics of the modes. Then, using the symmetric or anti-symmetric properties of two kinds of modes, the corresponding relations are presented. And then, numerical examples are given to verify the theoretical investigations, and it has been shown that, for a simply supported rectangular panel vibrating at low frequencies, the first radiation mode is dominant corresponding to (odd, odd) structural modes; the following radiation modes are respectively dominant corresponding to (even, odd), (odd, even), and (even, even) structural modes. Finally, such relations are applied to active acoustic structural control and provide a direct help for the design of active control strategy and arrangement of the secondary forces. |
| 关 键 词： | 声辐射模态 结构模态 相关性 噪音控制 应用 |
| 修稿时间： | 2006-04-062006-05-23 |
The relationship between acoustic radiation modes and structural modes and its applications |
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| LI Shuang,CHEN Ke''''an. The relationship between acoustic radiation modes and structural modes and its applications[J]. Chinese Journal of Acoustics, 2007, 26(2): 158-167 | |
| Authors: | LI Shuang CHEN Ke''''an |
| Abstract: | Both acoustic radiation modes and structural modes play an important role in the field of structure-borne sound, however, little work has been done for inherent relations between these two kinds of modes. This paper is focused on the relationship between the radiation modes and structural modes and its physical mechanisms. First, a governing equation for relating the radiation mode and structural mode is given based on the characteristics of the modes. Then, using the symmetric or anti-symmetric properties of two kinds of modes, the corresponding relations are presented. And then, numerical examples are given to verify the theoretical investigations, and it has been shown that, for a simply supported rectangular panel vibrating at low frequencies, the first radiation mode is dominant corresponding to (odd, odd)structural modes; the following radiation modes are respectively dominant corresponding to (even, odd), (odd, even), and (even, even) structural modes. Finally, such relations are applied to active acoustic structural control and provide a direct help for the design of active control strategy and arrangement of the secondary forces. |
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