Abstract:Based on the equivalent source method (ESM), the transfer function from the normal velocity of radiation boundary to sound pressure of field point was built and the prediction of sound field was realized. To evaluate the accuracy of ESM in prior, the velocity error index was used and a 1/2 restrict-line of velocity error was given to determine the frequency range among which ESM was available, followed by the rationality of pressure was evaluated via the sound radiation efficiency index afterward. Then the location of the equivalent sources was optimized for single frequency and multiple frequencies, respectively. Results show that an optimum source location exits, from which the best match of the normal velocity of the radiation surface is satisfied. Finally, the ESM coupled with the optimum algorism are applied to the sound prediction of a pulsating sphere with reflection surface and a coupled conical-cylindrical shell, and ESM gives a well agreement with the analytical and BEM result, which indicates the availability of ESM on engineering problems.
收稿日期: 2014-06-17
出版日期: 2015-11-15
引用本文:
魏应三1,2,王永生1,沈阳2,靳栓宝2,蒋国健3. 等效源方法的适用性判定及源的优化布置[J]. 振动与冲击, 2015, 34(21): 200-204.
WEI Yingsan1, 2,WANG Yongsheng1, SHEN Yang2,JIN Shuanbao2,Jiang Guojian3. Usability Criterion of Equivalent Sources Method and Location Optimization of the Sources. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(21): 200-204.
[1] Nishimura N. Fast multipole accelerated boundary integral equation methods [J]. Appl Mech Rev. 2002, 55(4): 299–324.
[2] Chen L H, Schweikert D G. Sound radiation from an arbitrary body [J]. J. Acoust. Soc. Am.1963, 35(10):1626-1632.
[3] Koopmann G H, Song L, Fahnline J. A Method for computing acoustic fields based on the principle of wave superposition [J]. J. Acoust. Soc. Am.1989, 86(5):2433-2438.
[4] Song L, Koopmann G H, Fahnline J. Numerical errors associated with the method of superposition for computing acoustic fields [J]. J. Acoust. Soc. Am.1991, 89(6):2625-2633.
[5] 于飞,陈心昭,李卫兵.空间声场全息重建的波叠加方法研究[J].物理学报. 2004, 53(8):2607-2613.
YU Fei, CHENG Xin-zhao, LI Wei-bin.Investigatio on holographic reconstruction of sound field using wave superposition approach [J]. Acta Physica Sinica, 2004, 53(8):2607-2613.
[6] 李加庆,陈进,杨超.基于波束形成和波叠加法的复合声全息技术[J].声学学报. 2008,33(2):152-158.
LI Jia-qing, CHEN Jin, YANG Chao. A hybrid acoustic holography technique based on beamforming and wave superposition algorithm [J]. Acta Acustica, 2008,33(2):152-158.
[7] 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].振动与冲击,2014,33(7):79-85.
WU Shao-wei, XIANG Yang, XIA Xue-bao. Approximate analytical expressions of self-radiation terms including acoustic pressure and velocity based on element free acoustic superposition [J]. Journal of Vibration and Shock, 2014, 33(7):79-85.
[8] 于飞.基于波叠加方法的声全息技术与声学灵敏度分析[D].合肥工业大学,2005.
YU Fei. Wave superposition approach based acoustic holography and acoustic sensitivity analysis [D]. Hefei Industry University, 2005.
[9] 朱之墀,李沛滋,王治国.管道声传播数值计算与实验结果比较[J].声学学报. 1988,13(1):1-8.
ZHU Zhi-xi, LI Pei-zi, WANG Zhi-guo. Numerical solution compared with experimental result for sound propagation in ducts [J]. Acta Acustica, 1988, 13(1):1-8.
[10] 魏应三,王永生.锥-柱组合壳体声辐射影响因素研究[J].振动与冲击. 2012, 22(31):174-178.
WEI Ying-san, WANG Yong-sheng. Study of the effect factors on acoustical characteristics of coupled cylindrical-conical shell [J]. Journal of Vibration and Shock, 2012, 22(31):174-178.