Acoustic Metamaterials & Structural Dynamics

Acoustic Black Hole (ABH) Power-Law Taper & Vibration Damping Calculator

Model 1D/2D power-law thickness profile ($h(x) = \epsilon x^m$), local flexural wave deceleration ($c_g(x) o 0$), reflection coefficient ($R$), and structural vibration attenuation for lightweight aerospace panels.

ABH Geometry & Material Inputs

Uniform panel thickness before ABH indentation.
Radius of circular 2D ABH pit or length of 1D wedge.
Exponent for $h(x) = \epsilon x^m$ (typically $m \ge 2$ for zero wave reflection).
Manufacturing CNC limit thickness at central apex / tip.
Loss factor of central damping layer tape (e.g. 3M VHB or polyurethane).
Target structural vibration frequency range.

Calculated Acoustic & Attenuation Metrics

Wave Velocity at Tip
0 m/s
Energy Reflection ($R_0$)
0.00 (ratio)
Vibration Attenuation
-0.0 dB
Modal Loss Factor ($\eta_{\text{eff}}$)
0.000

ABH Profile & Wave Trapping Simulation

Taper Constant $\epsilon$: 0.000 CNC Ballnose Scallop: 0.0 µm

Convert CAD Vectors for CNC ABH Milling

Generate 3D parabolic waterline CAM toolpaths and precision 1:1 DXF cutlines for laser-cut viscoelastic damping tape patches.

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