Analysis of Vibration Reduction Characteristics of Double-layer Phononic Crystals with Local Resonance of Rubber Layer in Cylindrical Cavity
Aiming at the problem of low-frequency vibration reduction in mechanical equipment,a local resonance phonon crystal double-layer plate structure of cylindrical cavity rubber layer is proposed.In this structure,the rubber layer with cylindrical cavity and solid scatterer oscillation vibrator are periodically arranged in the double-layer plates.Firstly,combined with the elastic wave theory and BLOCH theorem,the finite element method is used to calculate the band gap range and analyze the principle of flexural wave band gap formation.Secondly,the influence of the element parameters on the band gap is analyzed by means of uni-variable and hybrid variable methods.On this basis,the element parameters are adjusted accordingly to cause the flexural wave band gap to be ranged from 48.52 to 206.21 Hz.Finally,the vibration reduction effect of flexural waves is verified by the simulation of vibration transmission characteristics.The research shows that the cylindrical cavity rubber layer double-layer plate phononic crystal can generate a flexural wave bandgap below 200 Hz.In addition,the structure and material parameters of the unit can be adjusted to make it more suitable to the target vibration reduction frequency band.The vibration transmission characteristics analysis and vibration displacement diagram of phonon crystal plate verify its inhibitory effect on the transmission of bending waves in the corresponding band gap range.This research provides a certain reference for the engineering vibration reduction application of phononic crystals.
vibration and wavephononic crystalslocal resonanceband gap propertiescylindrical cavity
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