Research on the approximate analytical expressions of self-radiation terms based on element free acoustic superposition
WU Shao-wei1,2 ,XIANG Yang1,2XIA Xue-bao1,2
1.School of Energy and Power Engineering, Wuhan University of Technology, Wuhan 430063, China; 2. Key Laboratory of Marine Power Engineering &Technology, Ministry of Communications, Wuhan 430063, China
Abstract：Fictitious acoustic sources have to be placed inside a structure apart from the surface in conventional wave superposition method. Otherwise, the singularity of Green’s function for self-terms would arise in the algorithm, leading to worse sound field calculation. To solve this problem, a meshless acoustic superposition method based on discretized radiating surface of vibrating structure is studied. The singularity problems of Green's function when the source and receiver point coincide are overcome by removing singular point, replacing part integration region and invariant imbedding separately. Non-singular expressions for the pressure and velocity self-terms are obtained. Then the source strength and pressure could be determined according to velocity boundary conditions. The pressure and velocity self-terms can be correctly calculated by the approximate analytical expressions, validated by an example of pulsating sphere. Thus the prediction of sound field could be realized.
吴绍维;向阳;夏雪宝;. 基于无单元声波叠加的自辐射近似解析表达研究[J]. , 2014, 33(7): 79-85.
WU Shao-wei;;XIANG Yang;XIA Xue-bao;. Research on the approximate analytical expressions of self-radiation terms based on element free acoustic superposition. , 2014, 33(7): 79-85.
2014, Vol. 33 
