High-symmetry-point dispersion sensitivity analysis of quasi-Rayleigh waves in periodic half-spaces

Doliński, Łukasz; Piwowarczyk, Bartłomiej; Paćko, Paweł; Torrent, Daniel

doi:10.37705/TechTrans/e2025026

Abstract

This work investigates the sensitivity of surface-wave dispersion characteristics in periodic phononic structures with two types of scatterers: cylindrical pillars and finite-depth circular holes. We develop high-fidelity finite element models of square unit cells with Bloch boundary conditions and analyse the effect of geometric parameters (diameter and height/depth) on eigenfrequencies at a Brillouin zone high-symmetry point. A global sensitivity analysis based on the one-factor-at-a-time method is performed to quantify parameter influence and non-linear interactions. The results show that, for pillar-type structures, the pillar height dominates the dynamic response, while for hole-type structures both diameter and depth have comparable effects. Large geometric variations lead to mode reordering and narrow frequency separations, which is critical for bandgap-oriented optimisation. The approach outlines a route towards tunable phononic platforms for wave-based imaging applications.

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High-symmetry-point dispersion sensitivity analysis of quasi-Rayleigh waves in periodic half-spaces

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