Numerical analysis of the bandgap-inducing properties of sandwich foundations
Abstract
This paper investigates the vibration attenuation performance of periodic foundations for surface structures. A numerical method is proposed, which considers one- or two-dimensional linear-elastic bodies under time-harmonic external load and seismic excitation. These bodies are modeled via the Finite Elements Method, while their supporting soil is modeled as a homogeneous half-space via the Indirect Boundary Element Method. Coupling between the methods is obtained by imposing direct continuity and equilibrium conditions at the interface. Three different configurations of foundations are studied: 1) no foundation, 2) homogeneous foundation, and 3) sandwich foundation – two materials layered in an alternate fashion. Material properties and thickness of the layers are selected to induce prescribed bandgaps in the response of the structure. The results are presented in terms of data that can be directly applied in engineering practice.
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