Abstract
A local resonant phononic crystal is proposed. The phononic crystal can control vibration and noise effectively. It also can control the frequency range. We can obtain elastic wave dissipation in a wide frequency range. The band structure and transmission characteristics are calculated by the finite element software COMSOL Multiphysics. Through the results, the vibration modes at the initial frequency, cut-off frequency and other typical frequencies are analyzed. So we can elaborate the mechanism of the band gap. The opening of the band gap is the result of the coupling between the long wave traveling wave in the matrix and the resonant characteristics of the oscillator. The band gap frequency range of the phononic crystal structure is 268.7 ~ 1097.9 Hz. The factors affecting the band gap of the phononic crystal were studied. The result show: The density of materials and the geometric parameters of phononic crystals will affect the band gap. The density of scatterers mainly affects the initial frequency. The density of the matrix only affects the cut-off frequency. The geometric size has an effect on the starting frequency and cut-off frequency.
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Acknowledgements
The authors gratefully acknowledge supports for this work from Key technology R&D project of Ningxia (Grant No. 2018BFH03001) and Project of National Natural Science Foundation of China Research Project of CAE Key Laboratory for Intelligent Equipment of Ningxia (Grant No. 51365046).
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Xing, Y., Zhang, B., Zhang, Y., Song, J., Wang, M. (2023). Study on the Band Gap Characteristics of Two-Dimensional Local Resonant Phononic Crystals. In: Hassan, M.H.A., Zohari, M.H., Kadirgama, K., Mohamed, N.A.N., Aziz, A. (eds) Technological Advancement in Instrumentation & Human Engineering. ICMER 2021. Lecture Notes in Electrical Engineering, vol 882. Springer, Singapore. https://doi.org/10.1007/978-981-19-1577-2_34
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