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We investigate the dynamics of one-dimensional elastic lattices with disorder in the form of random non-local connectivites according to the “small-world” model of network connections. We present preliminary investigations on their dynamics, and illustrate the formation of spectral gaps which are formed for increasing degrees of disorder. These gaps are shown to persist across multiple lattice realizations and different sizes, signaling a robust property of the disorder systems. We also discuss possible experimental realizations on acoustic waveguides. These preliminary findings illustrate intriguing possibilities for wave manipulation and transport properties that are enabled via disorder in elastic and acoustic systems with random network connections.
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Matheus Inguaggiato Nora Rosa, Massimo Ruzzene, "Dynamics of elastic lattices with random “small world” network connections," Proc. SPIE PC12048, Health Monitoring of Structural and Biological Systems XVI, PC120480F (18 April 2022); https://doi.org/10.1117/12.2612982