Study on Low Frequency Band Gap Characteristics of Phonon Crystals of Functionally Graded Materials
Phonon crystal,as a kind of vibration and noise reduction structure,has been widely used in architecture,civil engineering and some other fields.Based on the local resonance phonon crystal theory,a phonon crystal containing two-dimensional variable functionally gradient materials is optimized and designed in this paper.The vibration damping performance of the phonon crystal is studied by finite element numerical simulation.The results show that the band structure of phonon crystal of functionally graded materials has three complete band gaps within 0-1 000 Hz.The initial frequency of the first band gap is 0,the cut-off frequency of the third band gap is 991.36 Hz,and the total band gap width is 990.85 Hz,accounting for 99.08%in the band gap range.Moreover,transmission characteristics of the 10×5 cycles of the phonon crystal are analyzed in the X-direction,and the results of the analysis completely verify the existence of band gap and prove that the phonon crystal containing the functionally gradient material with two-dimensional variation can effectively suppress the elastic wave of 0-1 000 Hz.Finally,the phonon crystal containing the functionally gradient material is compared with the traditional phonon crystal,and the vibration damping performance of phonon crystals with functionally graded materials is verified.The research results provide a new design method for vibration and noise reduction in civil traffic engineering.
acousticsphonon crystalfunctionally graded materialtwo-dimensional simulationband gapfinite element method
万方数据
维普
