We propose a hierarchical approach for the design of NEMS components with favorable dynamical characteristics. The approach consists of two steps: (i) design of several defect-engineered crystalline materials through intentional introduction of uniformly distributed defects, and in doing so altering precisely the frequency band structure of these materials, and (ii) allocation of patches of these designed materials to various regions in the component. Through this multiscale dispersive design approach, NEMS components can be designed to act as filters forbidding the transmission of vibrations at certain frequencies or waveguides confining the flow of energy to predetermined paths. Case studies are presented for 1D and 2D nanostructures.

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