摘要
声辐射模态和结构振动模态之间的内在关系一直缺乏有效的证明。该文证明并揭示了结构振动模态和声辐射模态之间的对应关系,而且对该关系的有效性和实用性进行了验证。首先从声辐射模态和振动模态的概念出发,利用结构振速的模态叠加特性,建立了两种模态之间的联系方程式；在此基础上根据各种模态形状的对称或反对称性推导出两种模态之间的对应关系；然后对其进行了数值仿真验证。研究表明：对于简支矩形平板而言,在低频范围内,奇-奇振动模态对应的主导声辐射模态是第1阶；偶-奇模态对应第2阶；奇-偶模态对应第3阶；偶-偶模态对应第4阶。最后将这种对应关系应用于结构声辐射有源控制中,通过对主导声辐射模态进行抵消,取得了很好的控制效果。
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 concerned with the relationship between the radiation modes and structural modes. 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 frequency, the first radiation mode is mainly due to （odd, odd） structural modes; the following radiation modes axe respectively due to （even, odd）, （odd, even）, and （even, even） structural modes. Finally, such relations axe applied to active acoustic structural control and provide a direct help for the arrangement of the secondary forces.
出处
《声学学报》
EI
CSCD
北大核心
2007年第2期171-177,共7页
Acta Acustica
基金
西北工业大学博士论文创新基金(CX200502)
国家自然科学基金(10274060)资助项目
