Abstract
Numerous metamaterials have recently been designed which exhibit either negative effective density and/or bulk modulus leading to extraordinary wave bearing capabilities. This research increases the design space by considering displacement-dependent properties which are discontinuous over a period of oscillation. Such nonlinear behavior has been studied in dynamical systems with intermittent contact. This work applies those analytical results together with numerical methods to provide insight into the harmonic and subharmonic generation in acoustic metamaterials with properties differing from compression to rarefaction. Stability is analyzed providing criteria for the onset of chaotic behavior.
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