Vibration characteristics of one-dimensional phononic crystals with elastic supporting

HE Dongze1,SHI Dongyan1,WANG Qingshan2,3,MA Chunlong1, 4

Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (4) : 185-191.

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (4) : 185-191.

Vibration characteristics of one-dimensional phononic crystals with elastic supporting

  • HE Dongze1,SHI Dongyan1,WANG Qingshan2,3,MA Chunlong1, 4
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Abstract

In this paper, the Reverberation-Ray Matrix(MRRM) is adopted to investigate the vibration characteristics of one dimensional phononic crystals with elastic supporting and the frequency response curve is obtained. To verify the calculation correctness of presented method, the solutions are compared with the results by Finite element method(FEM). It can be found that the results by MRRM and FEM are agree well. Furthermore, the effect of geometric parameters and elastic stiffness under various conditions on the vibration characteristics for one dimensional phononic crystals with elastic supporting is proposed. Through the changing rule of the starting frequency, ending frequency and width of band gap, some conclusions are obtained. Numerical examples show that the geometric parameters and elastic stiffness under various conditions have its own influence on the vibration characteristics of one dimensional phononic crystals with elastic supporting.

Key words

phononic crystals / elastic supporting / the method of reverberation-ray matrix / vibration characteristics.

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HE Dongze1,SHI Dongyan1,WANG Qingshan2,3,MA Chunlong1, 4. Vibration characteristics of one-dimensional phononic crystals with elastic supporting[J]. Journal of Vibration and Shock, 2022, 41(4): 185-191

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