Soil vibration mitigation is an important field of study in engineering. One conceptual device for attenuating surface waves is a seismic metasurface, which is typically a periodic array of resonators. To model a soil structure with a seismic metasurface, a coupled soil-resonator model is needed. In this thesis, a framework for coupling point-connected structures to an elastodynamic structure with the Wave Based Method (WBM) is proposed. The WBM is a Trefftz approach to obtaining solutions to boundary value problems. A framework to couple point-connected structures to the WBM has already been applied to plate bending, which is adopted here and extended to elastodynamics. A fundamental solution in elastodynamics is used, formulated as an integral to represent a distributed line load. This extension introduces additional steps to compute the integral of the fundamental solution and the boundary residual accurately. Two case studies are presented to test the proposed coupling framework, and a reference model is computed with the Finite Element Method (FEM). A comparison of the results, including frequency response functions and key design outputs, shows a good agreement between the methods in both studies. Differences in results are attributed to the shear stress residual at the boundary for the WBM, although modelling differences also exist between the methods. The results from the second case study, a soil halfspace with attached resonators, also give useful insights about the design of metasurfaces. Overall, this shows the coupling framework can give accurate, physical results when modelling the coupled soil-metasurface response.     «

Soil vibration mitigation is an important field of study in engineering. One conceptual device for attenuating surface waves is a seismic metasurface, which is typically a periodic array of resonators. To model a soil structure with a seismic metasurface, a coupled soil-resonator model is needed. In this thesis, a framework for coupling point-connected structures to an elastodynamic structure with the Wave Based Method (WBM) is proposed. The WBM is a Trefftz approach to obtaining solutions to bo...     »