Abstract

It has been reported that a system of spring-masses connected in the form of a ladder has a flat-band dispersion relation in which the eigenfrequency degenerates for certain translational degrees of freedom by appropriately selecting the spring constants and masses of the mass points. In this study, we show that, by considering the nonlinearity of the spring in this structure, it is possible to construct a mobile localized vibration mode which is stable and robust to perturbations.

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