Impact of the unit cell choice on the efficiency of dispersion curve calculations using GBMS

Recently, the potential of metamaterials and phononic crystals to cope with conflicting requirements of obtaining lightweight structures with desirable noise and vibration properties has been demonstrated. These, often periodic, structures are commonly studied based on their representative unit cell of which the vibro-acoustic performance is examined by means of their wave propagation, visualized by dispersion curves. Typically, the unit cell is discretized using a finite element technique to capture the possibly complex geometry. This leads to a high computation cost for the dispersion curve calculation which can be strongly reduced by applying modal based model order reduction techniques such as the (generalized) Bloch mode synthesis. In this paper, the choice of the unit cell is shown to have an impact on the dispersion curve calculation time. Moreover, the efficiency of (generalized) Bloch mode synthesis strongly depends on the unit cell choice. The highest reduction in computation time is accomplished when the number of boundary degrees-of-freedom is limited.

Jaar van publicatie:2022

Toegankelijkheid:Open