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<p>This paper presents a framework for designing dual-resonator locally resonant metamaterials on a clamped–free–free–free (CFFF) cantilever aluminum plate. A modal superposition model is built using six mode shapes from ANSYS finite element analysis and validated against the spectral dynamic stiffness method (S-DSM) with less than 1.6% deviation. A genetic algorithm (GA) and a grey wolf optimizer (GWO) each optimize four continuous resonator parameters and a 100-cell binary topology, targeting vibration suppression in the 120–190&#xa0;Hz band. The objective function includes a spillover penalty to discourage out-of-band amplification. At mass ratios of 10%, 15%, and 20%, both algorithms achieve over 92% RMS reduction in the target band but produce different designs: the GA places 8–16 light resonators in distributed layouts, while the GWO concentrates 3–7 heavier resonators at fewer locations. ANSYS harmonic response analysis at <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu = 15\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>μ</mi> <mo>=</mo> <mn>15</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> confirms the model predictions within 0.6&#xa0;dB and 2.2% RMS reduction.</p>

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Topology and parameter optimization of a dual-resonator metamaterial plate under asymmetric boundary conditions

  • 期刊论文

  • 发表日期：

    2026年6月20日

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  • Erdi Gulbahce

摘要

This paper presents a framework for designing dual-resonator locally resonant metamaterials on a clamped–free–free–free (CFFF) cantilever aluminum plate. A modal superposition model is built using six mode shapes from ANSYS finite element analysis and validated against the spectral dynamic stiffness method (S-DSM) with less than 1.6% deviation. A genetic algorithm (GA) and a grey wolf optimizer (GWO) each optimize four continuous resonator parameters and a 100-cell binary topology, targeting vibration suppression in the 120–190 Hz band. The objective function includes a spillover penalty to discourage out-of-band amplification. At mass ratios of 10%, 15%, and 20%, both algorithms achieve over 92% RMS reduction in the target band but produce different designs: the GA places 8–16 light resonators in distributed layouts, while the GWO concentrates 3–7 heavier resonators at fewer locations. ANSYS harmonic response analysis at \(\mu = 15\%\) μ = 15 % confirms the model predictions within 0.6 dB and 2.2% RMS reduction.