The relationship between acoustic radiation modes and structural modes and its applications  

作　　者：LI Shuang CHEN Ke'an 

机构地区：[1]College of Marine, Northwestern Polytechnieal University Xi'an 710072

出　　处：《Chinese Journal of Acoustics》2007年第2期158-167,共10页声学学报（英文版）

基　　金：This work was support by the Doctorate Foundation of Northwestern Polytechnical University(CX200502);by the National Natural Science Foundation of China (10274060).

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.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.

分 类 号：TB533[理学—物理]