期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 168, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2021.103547
关键词
Elastic waves; Lamb's problem; Seismic metamaterials; Metasurfaces
资金
- European Union's Horizon 2020 research and innovation programme under the Marie Skodowska Curie grant [813424]
The study proposed an analytical framework to model the effect of single and multiple mechanical surface oscillators on the dynamics of vertically polarized elastic waves propagating in a half space. Results demonstrate that the approach can accurately model elastic waves interacting with single resonators, couples of resonators, and arrays of resonators, capturing complex dynamics phenomena such as wave conversion and wave localization.
We propose an analytical framework to model the effect of single and multiple mechanical surface oscillators on the dynamics of vertically polarized elastic waves propagating in a half space. The formulation extends the canonical Lamb's problem, originally developed to obtain the wavefield induced by a harmonic line source in an elastic half-space. In short, our approach utilizes the solution of the classical Lamb's problem as Green's function to formulate the multiple scattered fields generated by a cluster of mechanical resonators attached to the surface. For an arbitrary number of resonators, arranged atop the elastic half-space in an arbitrary configuration, the displacement fields are obtained in closed form and validated with numerics developed in a finite element environment. We demonstrate that our approach can correctly model elastic waves interacting with single and couples of resonators, and capture complex dynamics phenomena such as wave conversion and wave localization induced by arrays of resonators, also known as metasurfaces.
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