Research on the approximate analytical expressions of self-radiation terms based on element free acoustic superposition

PDF(1632 KB)

Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (7) : 79-85.

论文

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

Author information +

History +

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.

Key words

element free / discrete domains / Green's function / singularity

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

WU Shao-wei;;XIANG Yang;XIA Xue-bao;. Research on the approximate analytical expressions of self-radiation terms based on element free acoustic superposition[J]. Journal of Vibration and Shock, 2014, 33(7): 79-85