15 March 2018 Supratransmission in a metastable modular metastructure for tunable non-reciprocal wave transmission
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Abstract
In this research, we numerically and analytically investigate the nonlinear energy transmission phenomenon in a metastable modular metastructure. Numerical studies on a 1D metastable chain provide clear evidence that when driving frequency is within the stopband of the periodic structure, there exists a threshold for the driving amplitude, above which sudden increase in the energy transmission can be observed. This onset of transmission is due to nonlinear instability and is known as supratransmission. We discover that due to spatial asymmetry of strategically configured constituents, such transmission thresholds are considerably different when structure is excited from different ends and this discrepancy creates a region of non-reciprocal energy transmission. We demonstrate that when the loss of stability is due to saddlenode bifurcation, the transmission threshold can be predicted analytically using a localized nonlinear-linear system model, and analyzed via combining harmonic balancing and transfer matrix methods. These investigations elucidate the rich and complex dynamics achievable by nonlinearity and metastabilities, and provide synthesize tools for tunable bandgaps and non-reciprocal wave transmissions.
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Zhen Wu, Zhen Wu, K. W. Wang, K. W. Wang, "Supratransmission in a metastable modular metastructure for tunable non-reciprocal wave transmission ", Proc. SPIE 10595, Active and Passive Smart Structures and Integrated Systems XII, 1059514 (15 March 2018); doi: 10.1117/12.2295925; https://doi.org/10.1117/12.2295925
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