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马大猷. 微穿孔板吸声体的准确理论和设计[J]. 声学学报, 1997, 22(5): 385-393. DOI: 10.15949/j.cnki.0371-0025.1997.05.001
引用本文: 马大猷. 微穿孔板吸声体的准确理论和设计[J]. 声学学报, 1997, 22(5): 385-393. DOI: 10.15949/j.cnki.0371-0025.1997.05.001
MAA Dah-You. General theory and design of microperforated-panel absorbers[J]. ACTA ACUSTICA, 1997, 22(5): 385-393. DOI: 10.15949/j.cnki.0371-0025.1997.05.001
Citation: MAA Dah-You. General theory and design of microperforated-panel absorbers[J]. ACTA ACUSTICA, 1997, 22(5): 385-393. DOI: 10.15949/j.cnki.0371-0025.1997.05.001

微穿孔板吸声体的准确理论和设计

General theory and design of microperforated-panel absorbers

  • 摘要: 提出以等效电路的为基础的微穿孔板吸声体的准确理论。吸声体的特性参数是板的相对声阻r,穿孔直径d和共振频率f0,后二者合成穿孔板常数k=d \sqrtf_0 / 10,它与r决定微穿孔板吸声体的结构和频率特性。吸声频带半宽△f/f0的最大值为(4/π)tan-1(1+r),这是k值趋近于零时的极限,只要k小于1,相差也不大,这时空腔厚度接近四分之一波长。可见r值大时,带宽可达到极为可观的程度.k值大时,吸收带宽大为降低,同时空腔节厚度将成为比波长小得多的值。文中讨论微穿孔极吸声体的一般特性。

     

    Abstract: A general theory of microperforated absorber is proposed on the basis of eguivalent circuit. The characteristic parameters of the absorber are its relative acoustic resistance r, the diameter d of the perforations and the resonance freguency f0, the later two form the perforate constant k=d \sqrtf_0 / 10, which, together with r. decides the structure and characteristics of the microperforated absorber. The maximum value of the absorber. band width Δf/f0 is (4/π) tan-1 (1 + r) as k approaches zero. and it does not change much as far as k is less than one, and the cavity depth is nearly a quarter wave length of the resonance frequency. For large values of k, the absorption band narrows down significantly and the cavity depth repuired becomes a small fraction of the wavelength. The properties of the microperforate absorber are discussed.

     

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