Accelerated dispersion curve calculations for periodic vibro-acoustic structures

Over the years, metamaterials have shown their potential in a wide range of different disciplines, e.g. optics, electromagnetics, dynamics etc. Metamaterials are, often periodic, engineered structures made conventional materials but which exhibit properties not encountered nature. In field noise and vibration, received increasing interest since they can obtain frequency ranges high vibration attenuation, called stop bands. Their performance is investigated by means dispersion curves, are calculated based on single unit cell assuming structure infinite periodic extent. Nowadays, attenuation acoustic structural waves commonly tackled as two separate problems, whereby either or curves used. Recently, vibro-acoustic designs come to fore appealing characteristics, such simultaneous To consider coupling these during predictions, curve calculations thus required. However, computations typically cumbersome perform due associated computational cost therefore, often, uncoupled used assessment. Although several model order reduction approaches recently been proposed accelerate computations, Bloch mode synthesis (BMS) Generalized (GBMS), readily applicable cells. calculations, this work extends BMS GBMS techniques towards 2D 3D systems. balance accuracy versus speed, extended basis constructed using split set coupled modes, while uses modes. Several verification cases demonstrate that strongly accelerated achieved inside accurately accounted for.