A Power-Based Framework for Quantifying Parameter Uncertainties in Finite Vibroacoustic Metamaterial Plates

Area of Science:

• Acoustics and Materials Science
• Metamaterials Engineering
• Vibroacoustics

Background:

• Vibroacoustic metamaterials (VAMMs) are engineered materials designed to control sound waves by creating stop bands that inhibit wave propagation.
• Accurate prediction of stop band behavior is crucial for designing effective VAMM structures.
• Existing methods for predicting stop band behavior have limitations in accuracy for finite structures.

Purpose of the Study:

• To introduce and validate a novel power-based approach using active structural intensity (STI) for predicting the stop band behavior of finite VAMM structures.
• To quantitatively analyze the vibration attenuation capabilities of VAMM plates.
• To establish a framework for investigating the impact of parameter uncertainties on VAMM performance.

Main Methods:

• Development of a power-based approach utilizing active structural intensity (STI) to quantify power loss in VAMM plates.
• Application of the STI method (STI_99% and STI_90%) for predicting stop band limits in a 2D VAMM plate with 25 resonators.
• Comparison of the proposed STI method against negative effective mass, unit cell dispersion analysis, and frequency response function methods.

Main Results:

• The STI-based method provides more accurate predictions of stop band limits for finite VAMM plates compared to traditional methods.
• The study demonstrates the quantitative analysis of vibration attenuation using STI percentages.
• The framework successfully investigates the influence of parameter uncertainties on stop band behavior.

Conclusions:

• The active structural intensity (STI) method offers a superior approach for predicting the stop band behavior of finite vibroacoustic metamaterials.
• The STI_99% method indicates that stricter fabrication tolerances are needed for robust VAMM performance.
• The STI_90% method suggests that relaxed tolerances can be used for cost-effective manufacturing while maintaining desired performance.