YIC2025

Modeling Metabarriers and Metafoundations for Ground-Borne Vibration Mitigation Using a Coupled ITM-FEM Approach

  • Hicks, Tom (Chair of Structural Mechanics, TUM)
  • Müller, Gerhard (Chair of Structural Mechanics, TUM)

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Increased traffic and construction activity driven by rapid urbanization have led to a growing occurrence of ground-borne vibrations in modern cities. These vibrations propagate as waves through the soil and are transmitted to adjacent buildings, where they can disturb sensitive equipment or reduce occupant comfort. This growing issue highlights the need for effective vibration mitigation strategies, especially in dense urban environments. In such settings, surface space is often limited or already occupied, making subsurface solutions more feasible than measures placed on the soil surface. This contribution compares two metamaterial-inspired strategies embedded in the soil: a metabarrier, with a resonator array placed in the transmission path, and a metafoundation, with the array located directly beneath a structure. To evaluate their mitigation efficiency, a simplified building model represents the structure to be protected. The metabarrier shields it from incoming waves, while the metafoundation supports the structure and reduces vibrations at the point of immission [1]. A 3D coupled Integral Transform-Finite Element Method (ITM-FEM) approach is used [2]. The ITM solves the elastic wave equation in unbounded media using integral transforms depending on the coordinate basis and implicitly fulfills the radiation condition. This yields fundamental solutions for different geometries. The solutions for a half-space and a full-space with spherical cavity are superposed to determine the dynamic stiffness matrix of a half-space with multiple spherical indentations at its surface. Finite elements are coupled at the indentation boundaries to model the metamaterial designs and part of the surrounding soil. The method is verified through comparison with semi-analytical solutions of the fundamental systems. Simulation results demonstrate that both metamaterial-inspired strategies reduce vibrations at their resonance frequency, highlighting the potential of metamaterial designs for controlling environmental ground-borne noise.