<p>This study investigates parallel stacking configurations of micro-perforated plate (MPP) based acoustic absorbers consisting of sequential layers: porous material, air cavity, micro-perforated plate, and a second air cavity backed by a rigid wall. Single-layer optimization examined hole diameters (0.5—1.0&#xa0;mm) and perforation ratios (0.5—2.0%), achieving optimal absorption at 0.5&#xa0;mm diameter and 0.5% perforation ratio within the 500—1000&#xa0;Hz frequency range. The Multi-Material (MM) layer system employed three stacked MPP-based absorbers with golden ratio-based thickness scaling (φ ≈ 1.618), achieving tunable broadband absorption across three frequency bands: 300—600&#xa0;Hz (α_peak = 0.85), 800—1200&#xa0;Hz (α_peak = 0.99), and 1400—1800&#xa0;Hz (α_peak = 0.92). While single MM-layer stacks can be effectively tuned for specific frequency ranges through geometric optimization, multi-layer stacks with progressive golden ratio scaling demonstrate superior broadband performance via enhanced inter-layer coupling (coupling coefficients: 1.08, 1.07, 1.03) and complementary absorption mechanisms. These findings provide systematic design guidelines for high-performance acoustic absorption systems in applications requiring both targeted and broadband noise control. The proposed design methodology offers a systematic, manufacturing-feasible pathway for broadband acoustic panel development in architectural spaces such as concert halls, open-plan offices, and industrial enclosures, with estimated production costs of $125–165/m<sup>2</sup>.</p>

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Golden Ratio for Design: Multi-band Acoustic Absorption Enhancement Using Adaptive Resonance Metamaterials Layer Configuration

  • Abhishek Verma,
  • Saumya Singh,
  • Dibya Prakash Jena

摘要

This study investigates parallel stacking configurations of micro-perforated plate (MPP) based acoustic absorbers consisting of sequential layers: porous material, air cavity, micro-perforated plate, and a second air cavity backed by a rigid wall. Single-layer optimization examined hole diameters (0.5—1.0 mm) and perforation ratios (0.5—2.0%), achieving optimal absorption at 0.5 mm diameter and 0.5% perforation ratio within the 500—1000 Hz frequency range. The Multi-Material (MM) layer system employed three stacked MPP-based absorbers with golden ratio-based thickness scaling (φ ≈ 1.618), achieving tunable broadband absorption across three frequency bands: 300—600 Hz (α_peak = 0.85), 800—1200 Hz (α_peak = 0.99), and 1400—1800 Hz (α_peak = 0.92). While single MM-layer stacks can be effectively tuned for specific frequency ranges through geometric optimization, multi-layer stacks with progressive golden ratio scaling demonstrate superior broadband performance via enhanced inter-layer coupling (coupling coefficients: 1.08, 1.07, 1.03) and complementary absorption mechanisms. These findings provide systematic design guidelines for high-performance acoustic absorption systems in applications requiring both targeted and broadband noise control. The proposed design methodology offers a systematic, manufacturing-feasible pathway for broadband acoustic panel development in architectural spaces such as concert halls, open-plan offices, and industrial enclosures, with estimated production costs of $125–165/m2.