<p>This study introduces the Response Surface Methodology approach to understand the effect of input variables i.e. strut length, strut radius and frequency concurrently on the sound absorption coefficient of the acoustic metamaterial based on the Kelvin unit cell. The acoustic metamaterial samples were fabricated using Digital Light Processing based 3D printing technique. A low viscosity resin (150–250&#xa0;MPa‧s) with a minimal layer height of 0.050&#xa0;mm was utilized to enable the successful 3D printing of the samples. Geometric characterization of the developed samples was carried under an optical microscope and deviation of less than 0.01&#xa0;mm was observed. Two microphone method was used to measure the sound absorption of the fabricated metamaterial in the impedance tube setup. The absorption coefficient data was used to build the response surface methodology based statistical model. Further, the developed statistical model was used to determine the optimal input values for the maximized sound absorption. It was observed that at the strut length of 0.7&#xa0;mm, strut radius of 0.250&#xa0;mm and frequency of 186.62&#xa0;Hz, the sound absorption coefficient would be 0.986, which is difficult to achieve with a material of thickness less than 37&#xa0;mm The optimised input values by Response Surface Methodology were thereafter validated experimentally.</p>

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Acoustic characterization of 3D printed Kelvin cell metamaterial using response surface methodology

  • Saliq Shamim Shah,
  • Daljeet Singh,
  • J. S. Saini,
  • Naveen Garg,
  • Chitra Gautam

摘要

This study introduces the Response Surface Methodology approach to understand the effect of input variables i.e. strut length, strut radius and frequency concurrently on the sound absorption coefficient of the acoustic metamaterial based on the Kelvin unit cell. The acoustic metamaterial samples were fabricated using Digital Light Processing based 3D printing technique. A low viscosity resin (150–250 MPa‧s) with a minimal layer height of 0.050 mm was utilized to enable the successful 3D printing of the samples. Geometric characterization of the developed samples was carried under an optical microscope and deviation of less than 0.01 mm was observed. Two microphone method was used to measure the sound absorption of the fabricated metamaterial in the impedance tube setup. The absorption coefficient data was used to build the response surface methodology based statistical model. Further, the developed statistical model was used to determine the optimal input values for the maximized sound absorption. It was observed that at the strut length of 0.7 mm, strut radius of 0.250 mm and frequency of 186.62 Hz, the sound absorption coefficient would be 0.986, which is difficult to achieve with a material of thickness less than 37 mm The optimised input values by Response Surface Methodology were thereafter validated experimentally.