Uncertainty Quantification of Tunable Elastic Metamaterials using Polynomial Chaos
arXiv:1909.07883 · doi:10.1063/1.5130685
Abstract
Owing to their periodic and intricate configurations, metamaterials engineered for acoustic and elastic wave control inevitably suffer from manufacturing anomalies and deviate from theoretical dispersion predictions. This work exploits the Polynomial Chaos theory to quantify the magnitude and extent of these deviations and assess their impact on the desired behavior. It is shown that uncertainties stemming from surface roughness, tolerances, and other inconsistencies in a metamaterial's unit cell parameters alter the targetted band gap width, location and the confidence level with which it is guaranteed. The effect of uncertainties are projected from a Bloch-wave dispersion analysis of three distinct phononic and resonant cellular configurations and are further confirmed in the frequency response the finite structures. The analysis concludes with a unique algorithm intended to guide the design of metamaterials in the presence of system uncertainties.
References in corpus (4)
- Bandgap widening by disorder in rainbow metamaterials
- Amplitude-dependent topological edge states in nonlinear phononic lattices
- Formation of Local Resonance Band Gaps in Finite Acoustic Metamaterials: A Closed-form Transfer Function Model
- Manipulating waves with LEGO bricks: A versatile experimental platform for metamaterial architectures