弹性支撑条件下一维声子晶体结构振动特性研究

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摘要为了开展弹性支撑环境下一维声子晶体结构弯曲波振动特性的研究，本文采用回传射线矩阵法对其频率响应函数曲线进行计算，并开展相应的参数化研究。通过与有限元法比较可以发现，二者的吻合程度较好，证明本文计算方法的正确性。为了进一步分析几何参数与多种条件下弹性刚度对于弹性支撑下一维声子晶体振动特性的影响规律，对不同情况下带隙的起始频率、截止频率以及带隙宽度的变化情况进行总结，得到相应的影响规律。结果表明，几何参数与多种条件下弹性刚度对于弹性支撑下一维声子晶体结构的振动特性影响情况存在不同的情况，有着各自的影响规律。

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	何东泽1
	史冬岩1
	王青山2
	3
	马春龙1
	4

关键词 ：声子晶体, 弹性支撑, 回传射线矩阵法, 振动特性

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.

收稿日期: 2020-09-23 出版日期: 2022-02-28

引用本文:

何东泽1，史冬岩1，王青山2,3，马春龙1,4. 弹性支撑条件下一维声子晶体结构振动特性研究[J]. 振动与冲击, 2022, 41(4): 185-191.
HE Dongze1,SHI Dongyan1,WANG Qingshan2,3,MA Chunlong1, 4. Vibration characteristics of one-dimensional phononic crystals with elastic supporting. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(4): 185-191.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I4/185

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