Acoustic Radiation Analysis Based on Essential Solution of Green’s Function

doi:10.1007/s12204-013-1422-1

上海交通大学学报（英文版） ›› 2013, Vol. 18 ›› Issue (4): 409-417.doi: 10.1007/s12204-013-1422-1

Acoustic Radiation Analysis Based on Essential Solution of Green’s Function

CHEN Lu-yun* (陈炉云), ZHANG Yu-fang (张裕芳)

(School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

出版日期:2013-08-28 发布日期:2013-08-12
通讯作者: CHEN Lu-yun (陈炉云) E-mail:cluyun@sjtu.edu.cn

Acoustic Radiation Analysis Based on Essential Solution of Green’s Function

CHEN Lu-yun* (陈炉云), ZHANG Yu-fang (张裕芳)

(School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

Online:2013-08-28 Published:2013-08-12
Contact: CHEN Lu-yun (陈炉云) E-mail:cluyun@sjtu.edu.cn

摘要/Abstract

摘要： The principle objective of the paper is to study the acoustic radiation problem of the 3D space domain with control boundary. By using the conformal transformation theory, the Green’s function for acoustic point source in the control domain space is obtained. With it, the expression of acoustic radiation function of the control domain is formed. Discussion about the acoustic radiation of pulsating sphere in right-angle space is drawn in the end, including the acoustic radiation directivity effect by the boundary characteristics, acoustic radiation frequency and acoustic source location. Numerical results show that: for the lower frequency radiation, the infection of free surface is significant; for the high frequency radiation, the infection of location is significant on the contrary. The research provides a new method for boundary characteristic problem of the structural-acoustic acoustic.

关键词: Green’s function, conformal transformation method, acoustic radiation directivity, image point

Abstract: The principle objective of the paper is to study the acoustic radiation problem of the 3D space domain with control boundary. By using the conformal transformation theory, the Green’s function for acoustic point source in the control domain space is obtained. With it, the expression of acoustic radiation function of the control domain is formed. Discussion about the acoustic radiation of pulsating sphere in right-angle space is drawn in the end, including the acoustic radiation directivity effect by the boundary characteristics, acoustic radiation frequency and acoustic source location. Numerical results show that: for the lower frequency radiation, the infection of free surface is significant; for the high frequency radiation, the infection of location is significant on the contrary. The research provides a new method for boundary characteristic problem of the structural-acoustic acoustic.

Key words: Green’s function, conformal transformation method, acoustic radiation directivity, image point

中图分类号:

TB 532

CHEN Lu-yun* (陈炉云), ZHANG Yu-fang (张裕芳). Acoustic Radiation Analysis Based on Essential Solution of Green’s Function[J]. 上海交通大学学报（英文版）, 2013, 18(4): 409-417.

CHEN Lu-yun* (陈炉云), ZHANG Yu-fang (张裕芳). Acoustic Radiation Analysis Based on Essential Solution of Green’s Function[J]. Journal of shanghai Jiaotong University (Science), 2013, 18(4): 409-417.

参考文献

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Acoustic Radiation Analysis Based on Essential Solution of Green’s Function

Acoustic Radiation Analysis Based on Essential Solution of Green’s Function

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