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Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes.

ABSTRACT: Nonlinear modal interactions have recently become the focus of intense research in micro- and nanoscale resonators for their use to improve oscillator performance and probe the frontiers of fundamental physics. However, our understanding of modal coupling is largely restricted to clamped-clamped beams, and lacking in systems with both geometric and material nonlinearities. Here we report multistable energy transfer between internally resonant modes of an electroelastic crystal plate and use a mixed analytical-numerical approach to provide new insight into these complex interactions. Our results reveal a rich bifurcation structure marked by nested regions of multistability. Even the simple case of two coupled modes generates a host of topologically distinct dynamics over the parameter space, ranging from the usual Duffing bistability to complex multistable behaviour and quasiperiodic motion.

SUBMITTER: Kirkendall CR

PROVIDER: S-EPMC4790629 | biostudies-literature | 2016 Mar

REPOSITORIES: biostudies-literature

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Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes.

Kirkendall Christopher R CR Kwon Jae W JW

Scientific reports 20160310

Nonlinear modal interactions have recently become the focus of intense research in micro- and nanoscale resonators for their use to improve oscillator performance and probe the frontiers of fundamental physics. However, our understanding of modal coupling is largely restricted to clamped-clamped beams, and lacking in systems with both geometric and material nonlinearities. Here we report multistable energy transfer between internally resonant modes of an electroelastic crystal plate and use a mi ...[more]

PMID: 26961749

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