Band gaps characteristics and vibration reduction mechanism of power exponential prismatic local resonance phononic crystal plates

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (14) : 107-114.

JIN Xing，ZHANG Zhenhua

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Abstract

The hull plate with a new form of phononic crystals was constructed. It is found that the low frequency bandgap and high frequency bandgap can lead to the vibration reduction of the thin-slab structure. The low frequency bandgap of phononic crystals was produced by the locally resonant mechanism, and there is a bandgap in a frequency range of 78-115Hz. The U-shaped dispersion curve hidden in the flat band was found in the dispersion curves of phononic crystals. The frequency band between the U-shaped dispersion curves can effectively reduce the vertical vibration of the plate. The mechanism of high-frequency band gap generation is a local resonance formed by the energy aggregation effect of a power exponential prismatic slope. Height of scatterer is the most important factor in low frequency bandgap. Shape of basal body has no effect on the low frequency bandgap, but has great effect to high frequency bandgap. With the increase of scatterer height, the center frequency of the low frequency band gap decreased. Increasing the power will decrease the start frequency and stop frequency of high frequency bandgap. Increasing the edge thickness will gradually decrease the bandwidth of high frequency bandgap. Compared with the traditional acoustic black hole, the new form of phononic crystals can effectively improve the structural strength of the hull plate, which possesses a certain guiding value in ship structure engineering. The results obtained could provide a reference for the structural vibration control of warship.

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phononic crystal / bandgap / local resonance

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JIN Xing，ZHANG Zhenhua. Band gaps characteristics and vibration reduction mechanism of power exponential prismatic local resonance phononic crystal plates[J]. Journal of Vibration and Shock, 2023, 42(14): 107-114

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