Parametric Model Order Reduction for Vibroacoustic Metamaterials based on Modal Superposition
Vibroacoustic Metamaterials (VAMM) have recently shown great potential in the elimination of noise and vibration in targeted and tunable frequency regions. The so-called stop band behavior is mainly driven by small resonance structures on a subwavelength scale. Due to the complex material and geometry composition, stochastic methods for uncertainty quantification, model updating, and optimization are necessary in the design and validation process of VAMM. Those methods require to repeatedly solve Finite Element (FE) models with slightly changed parameters and can become computationally challenging for large numerical models. Hence, the need for Parametric Model Order Reduction (PMOR) techniques arise to reduce the computational burden. For VAMM, consisting of many substructures, common PMOR methods based on Component Mode Synthesis (CMS) can become cumbersome to set up and numerically challenging.