Dynamic characteristics of phononic crystals with locally resonant structures based on non-smooth system

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (22) : 28-34.

HE Chao，GAO Haifeng，XU Huidong，LI Zhiqiang

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Abstract

The dynamic characteristics of nonlinear locally resonant phononic crystals and the mechanism of chaotic band gaps induced by the unit cell with the non-smooth collision system was analyzed based on the torsional vibration structure. The nonlinear local oscillator was composed of a disk mounted on the shaft, a bearing, linear springs, and colliding rods. On the one hand, the coupling of local resonance of unit cells and the torsional wave in the shaft leads to low frequency bandgaps in certain ranges. On the other hand, the non-smooth system resulted from the collision mechanism provides the unit cells with nonlinear dynamic properties and chaotic bandgaps in the low-frequency range are observed. Firstly, the band structure of the proposed one-dimensional phononic crystals with linear vibration was calculated by using transfer matrix method, and the computed results was verified with the experimental study. Then the correlation between the chaotic bandgaps and the nonlinear dynamic behavior of the unit cell was clarified through experimental verification. The results show that the structure has obvious vibration suppression effects at multiple frequency ranges with linear characteristics, and the chaotic property results in the vibration suppression in lower frequency ranges.

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torsional vibration / phononic crystals / non-smooth system / chaotic bandgaps / low-frequency vibration suppression

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HE Chao，GAO Haifeng，XU Huidong，LI Zhiqiang. Dynamic characteristics of phononic crystals with locally resonant structures based on non-smooth system[J]. Journal of Vibration and Shock, 2021, 40(22): 28-34

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