上海交通大学学报（英文版） ›› 2015, Vol. 20 ›› Issue (4): 415-419.doi: 10.1007/s12204-015-1616-9

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Precision Improvement of the Discrete Calculation Method for Sound Radiation Research

LUO Zhi (罗智), HAO Zhi-yong* (郝志勇), ZHENG Xu (郑 旭)   

  1. (Department of Energy Engineering, Zhejiang University, Hangzhou 310027, China)
  • 发布日期:2015-08-05
  • 通讯作者: HAO Zhi-yong (郝志勇) E-mail:haozy@zju.edu.cn

Precision Improvement of the Discrete Calculation Method for Sound Radiation Research

LUO Zhi (罗智), HAO Zhi-yong* (郝志勇), ZHENG Xu (郑 旭)   

  1. (Department of Energy Engineering, Zhejiang University, Hangzhou 310027, China)
  • Published:2015-08-05
  • Contact: HAO Zhi-yong (郝志勇) E-mail:haozy@zju.edu.cn

摘要： Sound radiation of thin plates is a common problem in engineering. Hashimoto proposed the discrete calculation method (DCM) to deal with the problem. The calculation of the radiation impedance of the rectangular element is more cumbersome than that of the circular one, so the discrete rectangular radiation element is approximated by the circular one. However, error is also introduced. The formula developed by Sha has been employed to get self- and mutual-radiation impedances of rectangular radiation element. Numerical study was performed to verify error introduced by the approximation Hashimoto adopted. Experimental researches on sound radiation of a 2mm-thick and a 4mm-thick magnesium alloy plates were also carried out to evaluate the errors introduced by the approximation. The experimental results indicate that the circular approximation Hashimoto adopted overestimates the sound radiation efficiency. The maximum error levels of the radiation efficiencies of the 2mm-thick and 4mm-thick magnesium alloy plates are up to 0.15 and 0.12, respectively. The effect of element aspect ratio on the sound radiation efficiency is also remarkable.

关键词: discrete calculation method, radiation impedance, sound radiation efficiency, sound radiation power

Abstract: Sound radiation of thin plates is a common problem in engineering. Hashimoto proposed the discrete calculation method (DCM) to deal with the problem. The calculation of the radiation impedance of the rectangular element is more cumbersome than that of the circular one, so the discrete rectangular radiation element is approximated by the circular one. However, error is also introduced. The formula developed by Sha has been employed to get self- and mutual-radiation impedances of rectangular radiation element. Numerical study was performed to verify error introduced by the approximation Hashimoto adopted. Experimental researches on sound radiation of a 2mm-thick and a 4mm-thick magnesium alloy plates were also carried out to evaluate the errors introduced by the approximation. The experimental results indicate that the circular approximation Hashimoto adopted overestimates the sound radiation efficiency. The maximum error levels of the radiation efficiencies of the 2mm-thick and 4mm-thick magnesium alloy plates are up to 0.15 and 0.12, respectively. The effect of element aspect ratio on the sound radiation efficiency is also remarkable.

Key words: discrete calculation method, radiation impedance, sound radiation efficiency, sound radiation power

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