Abstract
In this paper, we explore the concept of structural Luneburg lens (SLL) as a design framework for performing dynamic structural tailoring to obtain a structural wave cloak and a structural waveguide. The SLL is a graded refractive index lens, which is realized by using a variable thickness structure defined in a thin plate. Due to the thickness variation of the plate, the refractive index decreases radially from the centre to the outer surface of the lens. By taking advantage of the unique capabilities of SLL for flexural wave focusing and collimation, we develop a structural wave cloak and waveguide based on SLLs. The SLL design enables the integration of functional devices into thin-walled structures while preserving the structural characteristics. Analytical, numerical, and experimental studies are carried out to characterize the performance of the SLL cloak and the SLL waveguide. The results demonstrate that these SLL devices exhibit excellent performance for structural wave cloaking and waveguiding over a broadband operating frequency range.
Highlights
In this paper, we explore the concept of structural Luneburg lens (SLL) as a design framework for performing dynamic structural tailoring to obtain a structural wave cloak and a structural waveguide
We propose to use a structural Luneburg lens (SLL) based on a variable thickness structure defined in a thin plate as a framework for structural wave guiding and cloaking
Flexural wave propagation through two-dimensional SLLs was analysed by using a geometrical acoustics approach in Hamiltonian formulation[62,63]
Summary
We explore the concept of structural Luneburg lens (SLL) as a design framework for performing dynamic structural tailoring to obtain a structural wave cloak and a structural waveguide. Current approaches for focusing and guiding of flexural waves include: (1) varying the effective refractive index profile, (2) exploiting frequency bandgaps, and (3) employing topological techniques[11] In many of these approaches, wave manipulation is achieved by using periodic structures, such as phononic crystals and metamaterials, whose refractive indices and frequency bandgaps can be tailored via the design of unit cells. Sun et al.[12] developed phononic crystal plate waveguides consisting of circular steel cylinders, in which wave propagation is well confined While this method is based on defect mode of acoustic metamaterial which only works at a single frequency. Climente et al.[56] explored several gradient index lenses including Luneburg lens based on thickness variations of a thin plate for broadband flexural wave manipulation
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